- September 21, 2016:
Gülsah Yeni: Classification of nonoscillatory solutions of four-dimensional dynamic systems on time scales
- September 14, 2016:
Özkan Öztürk: Limiting behavior of nonoscillatory solutions for two-dimensional nonlinear time scale systems (Part II)
- September 7, 2016:
Özkan Öztürk: Limiting behavior of nonoscillatory solutions for two-dimensional nonlinear time scale systems
- May 4, 2016:
Tom Cuchta: Gompertz growth model on time scales
- April 20, 2016:
Sabrina Streipert: An integrable SIS model including birth and death rates
- April 13, 2016:
Gülsah Yeni: Properties of nonoscillatory solutions for fourth dimensional time scale systems
- March 23, 2016:
Özkan Öztürk (Thesis Defense): Existence and classification of nonoscillatory solutions of two-dimensional time scale systems
- March 16, 2016:
Johannes Ruppert (Thesis Defense): Pricing of geometric Asian options in general affine stochastic volatility models
- March 15, 2016:
Luciano Barbanti and Berenice Damasceno (Ilha Solteira): Time scales in higher dimensions and the Green, Gauss, and Stokes theorems (abstract)
- March 9, 2016:
Özkan Öztürk: Existence and classification of nonoscillatory solutions of two-dimensional time scale systems
- March 2, 2016:
Johannes Ruppert: Pricing of geometric Asian options in general affine stochastic volatility models
- February 24, 2016:
Rasheed Al-Salih: Introduction to quantum linear fractional programming problems
- February 17, 2016:
Tom Cuchta: Inverse Laplace transform on time scales
- February 10, 2016:
Özkan Öztürk: Nonoscillatory solutions of two-dimensional nonlinear delay dynamical systems
- February 3, 2016:
Organizational Meeting
- December 9, 2015:
Johannes Ruppert: Geometric Asian option pricing in general affine stochastic volatility models with jumps
- December 2, 2015:
Rasheed Al-Salih: Approximate solutions and duality theorems for continuous-time linear fractional programming problems
- November 18, 2015:
Gülsah Yeni: Oscillation of a class of the fourth-order nonlinear difference equations (Part III)
- November 11, 2015:
Gülsah Yeni: Oscillation of a class of the fourth-order nonlinear difference equations (Part II)
- November 4, 2015:
Gülsah Yeni: Oscillation of a class of the fourth-order nonlinear difference equations
- October 28, 2015:
Tom Cuchta (Thesis Defense): Discrete analogues of some special functions
- October 21, 2015:
Tom Cuchta: Discrete analogues of some special functions
- October 14, 2015:
Sabrina Streipert: Optimal harvesting in the quantum Beverton-Holt model (Part III)
- October 7, 2015:
Sabrina Streipert: Optimal harvesting in the quantum Beverton-Holt model (Part II)
- September 30, 2015:
Sabrina Streipert: Optimal harvesting in the quantum Beverton-Holt model
- September 23, 2015:
Tom Cuchta: The discrete Gaussian bell
- September 16, 2015:
Özkan Öztürk: Nonoscillatory solutions of systems of dynamic equations on time scales (Part II)
- September 9, 2015:
Özkan Öztürk: Nonoscillatory solutions of systems of dynamic equations on time scales
- September 2, 2015:
Organizational Meeting
- April 22, 2015:
Özkan Öztürk (Comprehensive Exam): On nonoscillatory solutions of Emden-Fowler dynamic equations and systems
- April 8, 2015:
Sabrina Streipert (Thesis Defense): Discrete and dynamic population models with logistic growth rate
- April 7, 2015, 3:15 pm:
Nasrin Sultana (Thesis Defense): Volterra difference equations
- March 4, 2015:
Tom Cuchta (Comprehensive Exam): Special functions on time scales
- February 25, 2015:
Gülsah Yeni: Introduction to discrete fractional calculus (Part IV)
- February 18, 2015:
Gülsah Yeni: Introduction to discrete fractional calculus (Part III)
- February 11, 2015:
Gülsah Yeni: Introduction to discrete fractional calculus (Part II)
- February 4, 2015:
Gülsah Yeni: Introduction to discrete fractional calculus
- January 28, 2015:
Sabrina Streipert (Comprehensive Exam): Discrete and dynamic population models
- November 19, 2014:
Özkan Öztürk: Asymptotic properties of solutions of Emden-Fowler dynamic systems (Part II)
- October 29, 2014:
Özkan Öztürk: Asymptotic properties of solutions of Emden-Fowler dynamic systems
- October 8, 2014:
Tom Cuchta: Discrete Hermite polynomials
- October 1, 2014:
Sabrina Streipert: The logistic equation with harvesting
- September 24, 2014:
Tom Cuchta: Isolated time scales and Haskell
- September 10, 2014:
Yelda Aygar: On the spectrum of eigenparameter-dependent quantum difference equations
- September 3, 2014:
Özkan Öztürk: On Emden-Fowler dynamic equations on time scales
- August 27, 2014:
Petr Zemanek: On square integrable solutions for time scale symplectic systems
- August 18, 2014:
Nasrin Sultana (Comprehensive Exam): Some results on discrete Volterra equations
- May 7, 2014:
Özkan Öztürk: On Emden-Fowler dynamic equations on time scales (cancelled)
- Apr 30, 2014:
Mazen Ali: Adaptive wavelet discretization of tensor products in H-Tucker Format
- Apr 23, 2014:
Sabrina Streipert: The Beverton-Holt equation with periodic growth rate
- Apr 16, 2014:
Yelda Aygar: Spectral analysis of a matrix-valued quantum-difference operator
- Apr 9, 2014:
Nasrin Sultana: Subexponential solutions of linear sum-difference equations
- Apr 2, 2014:
Yelda Aygar: Spectral analysis of a matrix-valued quantum-difference operator (cancelled)
- Mar 19, 2014:
Tom Cuchta: Oscillatory behavior of discrete Bessel functions
- Mar 12, 2014:
Mazen Ali: Adaptive operator discretizations (Part II)
- Mar 5, 2014:
Mazen Ali: Adaptive operator discretizations
- Feb 26, 2014:
Mazen Ali: Adaptive operator discretizations (cancelled)
- Feb 19, 2014:
Sabrina Streipert: Two-periodic solutions of a discrete Lotka-Volterra model
- Feb 12, 2014:
Martin Bohner: Discrete inverse Sturm-Liouville problems
- Feb 5, 2014:
Tom Cuchta: The discrete Bessel equation
- Jan 29, 2014:
Yelda Aygar: A polynomial-type Jost solution and spectral properties of a self-adjoint
*q*-difference operator - Jan 22, 2014:
Organizational Meeting
- Dec 4, 2013:
Judy Beckett: Solving initial value problems for fractional difference equations
- Nov 20, 2013:
Özkan Öztürk: Integral conditions for nonoscillation of second order nonlinear dynamical equations on time scales (Part III)
- Nov 13, 2013:
Yelda Aygar: Jost solution and spectral properties of selfadjoint matrix-valued difference operators
- Nov 6, 2013:
Özkan Öztürk: Integral conditions for nonoscillation of second order nonlinear dynamical equations on time scales (Part II)
- Oct 30, 2013:
Özkan Öztürk: Integral conditions for nonoscillation of second order nonlinear dynamical equations on time scales
- Oct 23, 2013:
Hikmet Koyunbakan: Inverse nodal problem for p-Laplacian energy-dependent Sturm-Liouville operators
- Oct 16, 2013:
Can Murat Dikmen: Oscillatory properties of a second-order nonlinear dynamic equation
- Oct 9, 2013:
Nasrin Sultana: Bounded solutions of a discrete Volterra equation
- Oct 2, 2013:
Sabrina Streipert: Discrete Lotka-Volterra models
- Sep 25, 2013:
Judy Beckett: Fractional composition rules
- Sep 11, 2013:
Tom Cuchta: On Bessel's equation and Bessel functions
- Aug 28, 2013:
Hikmet Koyunbakan: Solution of inverse problem for the Sturm-Liouville operator
- Aug 21, 2013:
Organizational Meeting
- May 1, 2013:
Tom Cuchta: On time scales Hermite polynomials
- Apr 24, 2013:
Greg Gelles: Risk aversion
- Mar 6, 2013:
Judy Beckett: Discrete fractional calculus (Part II)
- Feb 27, 2013:
Judy Beckett: Discrete fractional calculus (Part II) (cancelled)
- Feb 20, 2013:
Judy Beckett: Discrete fractional calculus
- Feb 13, 2013:
Tom Cuchta: An inequality for the gamma function on time scales
- Feb 6, 2013:
Nasrin Sultana: Subexponential solutions of linear integro-differential equations and transient renewal equations (Part II)
- Jan 30, 2013:
Nasrin Sultana: Subexponential solutions of linear integro-differential equations and transient renewal equations
- Jan 23, 2013:
Organizational Meeting
- Dec 5, 2012:
Ali Akgül: Approximating solutions of first-order and second-order difference equations using the reproducing kernel Hilbert space method (Part II)
- Nov 28, 2012:
Ali Akgül: Approximating solutions of first-order and second-order difference equations using the reproducing kernel Hilbert space method
- Oct 31, 2012:
Özkan Öztürk: Integral conditions for nonoscillation of second order nonlinear differential equations (Part III)
- Oct 24, 2012:
Özkan Öztürk: Integral conditions for nonoscillation of second order nonlinear differential equations (Part II)
- Oct 17, 2012:
Petr Zemanek (Brno): Friedrichs extension of operators defined by even order Sturm-Liouville equations on time scales
- Oct 10, 2012:
Özkan Öztürk: Integral conditions for nonoscillation of second order nonlinear differential equations
- Sep 26, 2012:
Nasrin Sultana: Asymptotic behavior of positive solutions of higher-order integro-dynamic equations
- Sep 19, 2012:
Tom Cuchta: The Gamma function on time scales (Part II)
- Sep 12, 2012:
Tom Cuchta: The Gamma function on time scales
- Sep 5, 2012:
Ali Akgül: Numerical solution of the Telegraph equation based on the reproducing kernel Hilbert space method
- Aug 22, 2012:
Organizational Meeting
- Apr 27, 2012, 3 pm, G4:
Julius Heim (Thesis Defense): Economics and finance on time scales
- Apr 26, 2012, 3 pm, G5:
Rotchana Chieochan (Thesis Defense): Periodic
*q*-difference equations - Apr 25, 2012:
Julius Heim: Economics and finance on time scales
- Apr 23, 2012, 4 pm, G4:
Sabrina Streipert (Thesis Defense): Abel dynamic equations of first and second kind
- Apr 18, 2012:
Rotchana Chieochan: Periodic
*q*-difference equations - Apr 11, 2012:
Sabrina Streipert: Abel dynamic equations of first and second kind
- Mar 14, 2012:
Özkan Öztürk: On oscillation and nonoscillation properties of Emden-Fowler difference equations (Part II)
- Mar 7, 2012:
Özkan Öztürk: On oscillation and nonoscillation properties of Emden-Fowler difference equations
- Feb 29, 2012:
Tom Cuchta: Nicholson's blowflies equations
- Feb 22, 2012:
Julius Heim: Modelling the relationship between inflation and unemployment using dynamic equations
- Feb 15, 2012:
Jens-Uwe Reitinger: Second-order self-adjoint difference equations
- Jan 25, 2012:
Nasrin Sultana: Periodic solutions of neutral delay integral equations of advanced type (Abstract)
- Jan 18, 2012:
Organizational Meeting
**TS on YouTube** - Dec 7, 2011:
Jens-Uwe Reitinger: Symmetry factors for differential equations
- Nov 30, 2011:
Sabrina Streipert: Closed-form solutions of certain Abel equations of the first kind
- Nov 7, 2011 (Monday, 3 pm):
Thomas Matthews (Thesis Defense): Probability theory on time scales and applications to finance and inequalities
- Nov 2, 2011:
Nasrin Sultana: Periodic solutions of neutral delay integral equations of advanced type (Abstract) (cancelled)
- Oct 26, 2011:
Thomas Matthews: Probability theory on time scales and applications to finance and inequalities
- Oct 19, 2011:
Tom Cuchta: Infinitesimal time scale calculus (Abstract)
- Oct 12, 2011:
Nasrin Sultana: Bounded solutions of a Volterra intregrodifferential equation (Abstract)
- Sep 28, 2011:
Julius Heim: Applications of dynamic equations to the mathematics of finance
- Sep 21, 2011:
Özkan Öztürk: Basic concepts of time scales calculus
**TSS in the News** - Sep 14, 2011:
Thomas Matthews: Pricing of credit default swaps on time scales
- Aug 24, 2011:
Organizational Meeting
- May 6, 2010 (Thursday, 3 pm):
Mathias Göggel (Thesis Defense): Closed-form solutions to discrete time portfolio optimization problems
- Apr 29, 2010 (Thursday, 3 pm):
Mathias Göggel: Closed-form solutions to discrete time portfolio optimization problems
- Apr 21, 2010:
Özkan Öztürk: Iterated oscillation criteria for delay dynamic equations of first order (Part II)
- Apr 14, 2010:
Özkan Öztürk: Iterated oscillation criteria for delay dynamic equations of first order
- Apr 7, 2010:
Thomas Matthews: Expectation and variance of selected random variables on time scales
- Mar 24, 2010:
Andrew Priest: An introduction to quantum calculus
- Mar 17, 2010:
Mathias Göggel: A closed-form solution to a discrete portfolio optimization problem
- Mar 3, 2010:
Rotchana Chieochan: Stability for Hamiltonian systems in quantum calculus
- Feb 24, 2010:
Julius Heim: Solow models on time scales (Part II)
- Feb 17, 2010:
Julius Heim: Solow models on time scales (Part II) (cancelled)
- Feb 10, 2010:
Mathias Göggel: A closed-form solution to a dynamic portfolio optimization problem
- Feb 3, 2010:
Ailian Liu (Jinan) and Julius Heim: Solow models on time scales
- Jan 27, 2010:
Ailian Liu (Jinan): Gronwall-Ouiang type inequalities on time scales
- Jan 20, 2010:
Organizational Meeting
- Nov 18, 2009:
Mehmet Unal: On
*q*-Bessel functions (Part II) - Nov 11, 2009:
Clayton Brooks (Marshall): A refined Jordan inequality and its application
- Nov 4, 2009:
Shurong Sun (Jinan): Oscillation criteria for a class of second-order dynamic inclusions
- Oct 28, 2009:
Mehmet Unal: On
*q*-Bessel functions - Oct 23, 2009:
Martin Bohner (MAA Seminar): All you need to know to get ready to do research in time scales calculus
- Oct 14, 2009:
Keara Wright: Unsteady flow of gas through a semi-infinite porous medium
- Oct 7, 2009:
Mathias Goeggel: Portfolio selection
- Sep 30, 2009:
Shurong Sun (Jinan): Weyl-Titchmarsh theory for Hamiltonian dynamic systems
- Sep 23, 2009:
Thomas Matthews: Moment generating functions on time scales
- Sep 16, 2009:
Rotchana Chieochan: Floquet theory for
*q*-difference equations - Sep 9, 2009:
Ailian Liu (Jinan): Linear cobweb models on time scales
- Sep 2, 2009:
Nick Wintz: The linear quadratic minimum time problem on time scales
- Aug 26, 2009:
Organizational Meeting
- May 1, 2009:
Karl Ulrich (Thesis Defense): The analogue of the iterated logarithm in quantum calculus
- Apr 29, 2009:
Julius Heim: Nonlinear cobweb models on time scales
- Apr 25, 2009:
Martin Bohner (Student Paper Competition):
*q*-difference equations - Apr 22, 2009:
Karl Ulrich: The analogue of the iterated logarithm for q-difference equations
- Apr 15, 2009:
Howard Warth: Oscillation of a food-limited population model with time delay
- Apr 8, 2009:
Petr Zemanek (Brno): Trigonometric and hyperbolic systems on time scales
- Apr 1, 2009:
Rotchana Chieochan: Applications of Clarke duality to periodic solutions with minimal period for discrete Hamiltonian systems
- Mar 4, 2009:
Nick Wintz: Some scalar dynamic tracking problems
- Feb 25, 2009:
Nick Wintz: Some scalar dynamic control problems
- Feb 18, 2009:
Julius Heim: Dynamic cobweb models
- Feb 11, 2009:
Rotchana Chieochan: Existence of a periodic solution for subquadratic second-order discrete Hamiltonian systems
- Jan 28, 2009:
Thomas Matthews: Discrete densities and Fisher information
- Jan 21, 2008:
Karl Ulrich: Kneser's theorem in quantum calculus
- Jan 14, 2008:
Organizational Meeting
- Nov 19, 2008:
Thomas Matthews: Entropy of the discrete normal distribution
- Nov 12, 2008:
Nick Wintz: Regulator with function of final state fixed (Part II)
- Nov 5, 2008:
Nick Wintz: Regulator with function of final state fixed
- Sep 29, 2008:
Karl Ulrich: On the finiteness of the number of eigenvalues of Jacobi operators below the essential spectrum (Part II)
- Sep 22, 2008:
Karl Ulrich: On the finiteness of the number of eigenvalues of Jacobi operators below the essential spectrum
- Sep 15, 2008:
Nick Wintz: Derivation of the Kalman filter using the Wiener-Hopf equation
- Oct 8, 2008:
Rotchana Chieochan: Stability zones for dynamic linear Hamiltonian systems
- Oct 1, 2008:
Howard Warth: Harvesting with variable effort on time scales
- Sep 24, 2008:
Thomas Matthews: On a discrete normal distribution
- Sep 17, 2008:
Nick Wintz: The tracking problem on time scales (Part II)
- Sep 10, 2008:
Nick Wintz: The tracking problem on time scales
- Sep 3, 2008:
Rui Ferreira (Aveiro, Portugal): Constantin inequalities on time scales
- Aug 27, 2008:
Organizational Meeting
- May 15, 2008:
Martin Bohner (Economics Seminar): Dynamic risk vulnerability
- May 8, 2008:
Martin Bohner (Economics Seminar): Dynamic risk aversion and risk vulnerability
- May 7, 2008:
Christian Keller: Dynamic equations with piecewise continuous argument
- Apr 30, 2008:
Julius Heim: Samuelson's multiplier-accelerator model on time scales
- Apr 23, 2008:
Nick Wintz: Free final state and closed loop control for dynamic equations
- Apr 16, 2008:
Martin Bohner (Analysis Seminar): Dynamic risk aversion (Part II)
- Apr 9, 2008:
Martin Bohner (Analysis Seminar): Dynamic risk aversion
- Apr 2, 2008:
Howard Warth: The nonautonomous Beverton-Holt dynamic equation
- Mar 19, 2008:
Werner Balser (Ulm): What has Stirling's formula for the Gamma function got to do with Borel summation?
- Mar 12, 2008:
Rotchana Chieochan: Stability and boundary value problems for dynamic linear Hamiltonian systems
- Feb 27, 2008:
Julius Heim: Extensions of Samuelson's multiplier-accelerator model on time scales
- Feb 20, 2008:
Thomas Matthews: Option pricing with Mellin transforms
- Feb 13, 2008:
Nick Wintz: The linear quadratic regulator on time scales
- Feb 6, 2008:
Christian Keller: Dynamic equations with piecewise constant arguments
- Jan 30, 2008:
Vadrevu Sree Hari Rao: Dead zones - a new paradigm in bidirectional associative memories
- Jan 23, 2008:
Julius Heim: The second-order accelerator in economics: Continuous and discrete
- Jan 16, 2008:
Organizational Meeting
- Dec 5, 2007:
Rotchana Chieochan: Stability and boundary value problems for discrete-time linear Hamiltonian systems
- Nov 28, 2007:
Julius Heim: Positive solutions of a difference equation relevant to economics (Part II)
- Nov 14, 2007:
Christian Keller: Maximal regularity of discrete and continuous time evolution equations
- Nov 7, 2007:
Kate Drowne: Writing a successful thesis or dissertation (St. Pat's Ballroom C)
- Oct 31, 2007:
Howard Warth: The nonautonomous Beverton-Holt equation
- Oct 24, 2007:
Julius Heim: Positive solutions of a difference equation relevant to economics
- Oct 17, 2007:
Nick Wintz: Derivation of the steady state Kalman filter
- Oct 10, 2007:
Christian Keller: Maximal regularity on discrete time scales
- Oct 3, 2007:
Rotchana Chieochan: Linear symplectic dynamic systems
- Sep 26, 2007:
Reginald Brigham: q-difference eigenvalue problems with Neumann boundary conditions
- Sep 25, 2007:
Martin Bohner: Derivation and solution of the Black-Scholes equation (guest lecture for Financial Engineering Association)
- Sep 19, 2007:
Martin Bohner: Five most important concepts to start time scales research
- Sep 12, 2007:
Suman Sanyal: Stability of stochastic dynamic equations
- Sep 5, 2007:
Howard Warth: The Beverton-Holt equation is a logistic difference equation
- Aug 29, 2007:
Nick Wintz: Derivation of the Kalman filter
- Aug 22, 2007:
Organizational Meeting
- May 9, 2007:
Thomas Matthews: Ostrowski and Gruess inequalities on time scales
(Master's Thesis Defense)
- May 9, 2007:
Christian Müttel: The Black-Scholes equation in quantum calculus
(Master's Thesis Defense)
- Apr 26, 2007:
Thomas Matthews: Ostrowski and Gruess inequalities on time scales
- Apr 19, 2007:
Christian Müttel: The Black-Scholes equation in quantum calculus
- Apr 12, 2007:
Suman Sanyal: Linear stochastic dynamic equations on isolated time scales
- Mar 22, 2007:
Nick Wintz: Error covariance
- Mar 8, 2007:
Reginald Brigham: Exercise 3.62 for q-difference equations
- Mar 1, 2007:
Howard Warth: Harvesting with constant effort on time scales
- Feb 22, 2007:
Nick Wintz: Propagation of means and covariances in linear stochastic systems on time scales
- Feb 15, 2007:
Nick Wintz: Linear stochastic systems on time scales
- Feb 8, 2007:
Thomas Matthews: An Ostrowski inequality on time scales
- Feb 1, 2007:
Thomas Matthews: A Montgomery identity on time scales
- Jan 25, 2007:
Howard Warth: On an optimal impulsive harvest policy (Part II)
- Jan 18, 2007:
Howard Warth: On an optimal impulsive harvest policy
- Dec 7, 2006:
Prasenjit Shil: The no-arbitrage theorem
- Nov 30, 2006:
Suman Sanyal: Asymptotic behavior of solutions to linear dynamic stochastic equations
- Nov 16, 2006:
Nick Wintz: Controllability, reachability, and observability for
time-invariant and time-variant dynamic control problems
- Nov 9, 2006:
Reginald Brigham: Dynamic wave equations
- Nov 2, 2006:
Martin Bohner: LaTeX, vi-editor, unix, and time scales
- Oct 26, 2006:
Howard Warth: The proof of the second Cushing-Henson conjecture
- Oct 19, 2006:
Reginald Brigham: First order partial dynamic equations
- Oct 12, 2006:
Thomas Matthews: Continuous and discrete Ostrowski inequalities
- Oct 5, 2006:
Christian Müttel: Oscillatory and asymptotic stability of difference
equations depending on parameters
- Sep 28, 2006:
Howard Warth: The proof of the Cushing-Henson conjecture
- Sep 21, 2006:
Nick Wintz: Observability for dynamic control problems
- Sep 14, 2006:
Nick Wintz: Controllability for dynamic control problems
- Sep 7, 2006:
Suman Sanyal: Linear stochastic dynamic equations of Volterra type
- Aug 31, 2006:
Martin Bohner: First and second order forced dynamic equations with mixed nonlinearities
- May 2, 2006:
Reginald Brigham:
*q*-Bernoulli and*q*-Euler polynomials (Part II) - Apr 27, 2006:
Reginald Brigham:
*q*-Bernoulli and*q*-Euler polynomials - Apr 20, 2006:
Thomas Hudson: Euler-type boundary value problems in quantum calculus
- Apr 18, 2006:
Suman Sanyal: Global asymptotic stability of nonlinear stochastic difference equations with delay (Part II)
- Apr 13, 2006:
Suman Sanyal: Global asymptotic stability of nonlinear stochastic difference equations with delay
- Apr 11, 2006:
Nick Wintz: Linear systems on time scales (Part IV)
- Apr 6, 2006:
Suman Sanyal: Global asymptotic stability of nonlinear stochastic difference equations with delay (cancelled)
- Apr 4, 2006:
Nick Wintz: Linear systems on time scales (Part III)
- Mar 23, 2006:
Nick Wintz: Linear systems on time scales (Part II)
- Mar 21, 2006:
Nick Wintz: Linear systems on time scales
- Mar 9, 2006:
Howard Warth: Discrete Lotka-Volterra equations (Part II)
- Mar 7, 2006:
Howard Warth: Discrete Lotka-Volterra equations
- Mar 2, 2006:
Suman Sanyal: Asymptotic behavior of solutions to linear discrete stochastic equations (Part II)
- Feb 28, 2006:
Suman Sanyal: Asymptotic behavior of solutions to linear discrete stochastic equations
- Feb 23, 2006:
Reginald Brigham: Euler's summation formula, Bernoulli numbers, and Bernoulli polynomials (Part II)
- Feb 16, 2006:
Reginald Brigham: Euler's summation formula, Bernoulli numbers, and Bernoulli polynomials
- Feb 14, 2006:
Suman Sanyal: Stochastic difference equations (Part II)
- Feb 9, 2006:
Suman Sanyal: Stochastic difference equations
- Feb 7, 2006:
Martin Bohner: Oscillation of delay difference equations (Part II)
- Feb 2, 2006:
Martin Bohner: Oscillation of delay difference equations
- Jan 31, 2006:
Nick Wintz: An introduction to discrete differential games
- Jan 26, 2006:
Howard Warth: Nonautonomous difference equations in population biology
(Part III)
- Jan 24, 2006:
Howard Warth: Nonautonomous difference equations in population biology
(Part II)
- Jan 19, 2006:
Howard Warth: Nonautonomous difference equations in population biology
- Jan 17, 2006:
Suman Sanyal: First and second order linear stochastic dynamic equations

- Feb 2, 2009:
David Grow: Brownian motion on time scales
- Nov 14, 2008:
Bonita Lawrence (MU): The Marshall differential analyzer project: A visual interpretation of dynamic equations
- Nov 7, 2008:
David Grow: Brownian motion indexed by a time scale
- Sep 5, 2008:
Malgorzata Marciniak: Hartogs-Bochner phenomena in toric varieties
- Nov 16, 2007:
Liancun Zheng (Beijing): Singular nonlinear boundary value problem arising in the theory of power law non-Newtonian fluids.
- Nov 14, 2007:
David Grow: Recent advances on the complete iterative inversion method.
- Nov 7, 2007:
Rao Vadrevu: On a potential field problem in human retina.
- Oct 31, 2007:
Elvan Akin: A generalized upper and lower solution method for singular boundary value problems for the one dimensional p-Laplacian.
- Oct 23, 2007:
Chelluri Sastri: A function arising in the estimation of unobserved probability.
- Oct 19, 2007:
Mark Dunster (SDSU): Resonance and almost nonuniqueness in the scattered field of a dielectric circular cylinder.
- Oct 17, 2007:
Steven Clark: Uniqueness theorems for CMV operators.
- Oct 12, 2007:
Youssef Raffoul (DU): Basic and recent results in differential equations.
- Oct 10, 2007:
Gearoid Macsithigh: Fully explicit Agmon conditions in elasticity.
- Oct 3, 2007:
Malgorzata Marciniak: Holomorphic extensions in toric varietes (Part II).
- Sep 26, 2007:
Malgorzata Marciniak: Holomorphic extensions in toric varietes.
- Sep 19, 2007:
Miron Bekker: Automorphic invariant isometries (Part II).
- Sep 12, 2007:
Miron Bekker: Automorphic invariant isometries.
- Aug 31, 2007:
Roman Hilscher (Brno): Linear Hamiltonian and symplectic systems without normality assumption.
- Apr 27, 2007:
Kamel Rekab (UMKC): Sequential designs and applications.
- Mar 21, 2007:
David Grow: Option pricing.
- Mar 7, 2007:
David Grow: Stochastic integration and option pricing.
- Feb 21, 2007:
David Grow: Stochastic differential equations and applications to option pricing (Part II).
- Feb 14, 2007:
David Grow: Stochastic differential equations and applications to option pricing.
- Feb 7, 2007:
Roman Dwilewicz: Holomorphic approximations (Part II).
- Jan 31, 2007:
Roman Dwilewicz: Holomorphic approximations.
- Nov 15, 2006:
Elvan Akin-Bohner: Oscillatory properties for dynamical systems.
- Nov 8, 2006:
Martin Bohner: The Cushing-Henson conjectures.
- Nov 1, 2006:
Steve Clark: Some comments on CMV operators
- Oct 18, 2006:
Gearoid MacSithigh: Spectral analysis of a partial differential system arising in elasticity.
- Oct 13, 2006:
Bonita Lawrence (MU): The Marshall differential analyzer project: Mathematical concepts through the eyes of the masters.
- Oct 4, 2006:
Miron Bekker: A non-densely defined invariant Hermitian contraction.
- Sep 13, 2006:
David Grow: Advances on the complete iterative inversion method problem (Part II).
- Sep 6, 2006:
David Grow: Advances on the complete iterative inversion method problem.
- Apr 25, 2006:
Martin Bohner (IEPS): Teaching and research in mathematics.
- Mar 22, 2006:
S. N. Balakrishnan: Controllers and observers with SNAC.
- Mar 1, 2006:
Miron Bekker: Lemma on a block matrix and some applications.
- Feb 13, 2006:
Howard Warth (GSS): Discrete population models.
- Feb 6, 2006:
Martin Bohner (GSS): Case studies for today's classroom: Popson's dilemma.
- Feb 1, 2006:
Miron Bekker: Some notions of the theory of linear dynamical systems.
- Jan 25, 2006:
Miron Bekker: Affine invariant operators (Part II).
- Jan 20, 2006:
Ioannis Stavroulakis (Ioannina): Oscillations of delay, difference and dynamic equations.
- Jan 18, 2006:
Miron Bekker: Affine invariant operators.
- Dec 7, 2005:
Leon Hall: Exponentials, polynomials, and series on time scales.
- Dec 2, 2005:
Tony Zettl (NIU): Eigenvalues of Sturm-Liouville problems.
- Nov 30, 2005:
Gearoid Macsithigh: On the matrix Riccati equation of incompressible elasticity.
- Nov 16, 2005:
Vy Le: On a filling property of solutions of variational inequalities.
- Nov 9, 2005:
Roman Dwilewicz: Values of the Riemann zeta function (Part II).
- Nov 2, 2005:
Roman Dwilewicz: Values of the Riemann zeta function.
- Oct 28, 2005:
Richard DeVault (NSUL): Global behavior of solutions of certain nonlinear difference equations.
- Oct 26, 2005:
Elvan Akin-Bohner: Regularly and strongly decaying solutions of quasilinear dynamic equations.
- Oct 19, 2005:
Martin Bohner: Oscillation and nonoscillation of forced second order dynamic equations.
- Oct 12, 2005:
Steve Clark: A look at a J-self-adjoint operator.
- Oct 12, 2005:
Martin Bohner (MAA Seminar): Using binomial trees to price options.
- Oct 10, 2005:
Suman Sanyal (GSS): Brownian motion and white noise.
- Sep 28, 2005:
Maxim Zinchenko: A Borg-type theorem associated with orthogonal polynomials on the unit circle.
- Sep 21, 2005:
Matt Insall: More on differentiation in topological fields.
- Sep 19, 2005:
Martin Bohner (GSS): Case studies for today's classroom: Seeking points.
- Sep 14, 2005:
Miron Bekker: Introduction to the theory of Krein spaces (Part III).
- Sep 7, 2005:
Miron Bekker: Introduction to the theory of Krein spaces (Part II).
- Aug 31, 2005:
Miron Bekker: Introduction to the theory of Krein spaces.
- May 21, 2005:
Martin Bohner (State Math Team Practice): Fibonacci numbers and the tower of Hanoi.
- May 9, 2005:
Valery Gaiko (Minsk): Global bifurcation theory and applications of polynomial dynamical systems.
- May 6, 2005:
Lance Littlejohn (USU): Left-definite theory with applications to orthogonal polynomials.
- May 4, 2005:
Miron Bekker: Scale covariant symmetric operators and their self-adjoint extensions.
- Apr 27, 2005:
Matt Insall: Abraham Robinson's nonstandard analysis, an introduction (Part III).
- Apr 20, 2005:
Matt Insall: Abraham Robinson's nonstandard analysis, an introduction (Part II).
- Apr 13, 2005:
Matt Insall: Abraham Robinson's nonstandard analysis, an introduction.
- Apr 8, 2005:
Allan Peterson (UNL): The Henstock-Kurzweil delta and nabla integrals.
- Apr 6, 2005:
David Grow: Inverting second virial coefficient data.
- Mar 23, 2005:
Roman Dwilewicz: Torus - a beautiful object (holomorphic extensions and theta functions).
- Mar 21, 2005:
Martin Bohner (GSS): Case studies for today's classroom: The quicksand of problem four.
- Mar 16, 2005:
Roman Dwilewicz: Torus - a beautiful object (theta functions).
- Mar 9, 2005:
Roman Dwilewicz: Torus - a beautiful object.
- Mar 2, 2005:
Roman Dwilewicz: Torus - a beautiful object.
- Feb 23, 2005:
Malgorzata Marciniak: On linearization of algebraic C* actions on Cn.
- Feb 2, 2005:
Louis Grimm: "Who stole my eigenvalue?" or "Sherlock Holmes and the case of the reluctant root".
- Feb 26, 2005:
Elvan Akin-Bohner: Positive increasing solutions of quasilinear dynamic equations.
- Jan 19, 2005:
Martin Bohner: What is one over four in quantum calculus?
Abstract
- Dec 8, 2004:
Vy Le: On global bifurcation at infinity of variational inequalities.
- Dec 1, 2004:
Gearoid Macsithigh: On a system of ODEs arising in impact mechanics.
- Nov 17, 2004:
Siegfried Carl (Halle): Comparison principles for elliptic variational problems.
- Nov 10, 2004:
David Grow: An environmental engineering problem.
- Nov 10, 2004:
Martin Bohner (MAA Seminar): An introduction to quantum calculus.
- Oct 29, 2004:
Marek Elzanowski (PSU): A mathematical model of the evolution of defects in solids.
- Oct 27, 2004:
Nicholas Wintz: Eigenvalue comparisons for an impulsive boundary value problem with Sturm-Liouville boundary conditions.
- Oct 20, 2004:
Roman Dwilewicz: Holomorphic approximations (Part III).
- Oct 13, 2004:
Roman Dwilewicz: Holomorphic approximations (Part II).
- Oct 6, 2004:
Roman Dwilewicz: Holomorphic approximations.
- Sep 29, 2004:
Alexey Kytmanov: Holomorphic extension of toric varieties.
- Sep 22, 2004:
Martin Bohner: Oscillation results for q-difference equations.
- Sep 15, 2004:
Mehmet Ünal (Istanbul): Oscillation criteria for second-order linear
differential equations: A generalization of Kneser's theorem.
- Sep 8, 2004:
Miron Bekker: Self-similar operators.
- Sep 1, 2004:
Matt Insall: An NSA proof that the compatible topologies on an algebra form a complete lattice.
- Apr 28, 2004:
Roman Dwilewicz: An introduction to toric varieties (Part III).
- Apr 21, 2004:
Roman Dwilewicz: An introduction to toric varieties (Part II).
- Apr 14, 2004:
Roman Dwilewicz: An introduction to toric varieties.
- Apr 9, 2004:
Andreas Ruffing (ASU): Towards Schroedinger's equation on time scales.
- Apr 7, 2004:
David Grow: Interpolation sets in groups and hypergroups.
- Mar 24, 2004:
Elvan Akin-Bohner: On solutions of quasilinear dynamic equations.
- Mar 22, 2004:
Qin Sheng (UD): Notes on time scales applications in scientific computations.
- Mar 27, 2004:
Miron Bekker: Krein's method of directing functionals (Part II).
- Mar 5, 2004:
Johnny Henderson (BU): Three-point BVPs for second order differential equations.
- Mar 3, 2004:
Miron Bekker: Krein's method of directing functionals.
- Feb 18, 2004:
Murat Adivar: Spectral analysis of non-selfadjoint discrete operators of second order.
- Feb 13, 2004:
Lynn Erbe (UNL): Linear and nonlinear dynamic equations on time scales.
- Feb 11, 2004:
Suman Sanyal: Positive solutions of a delay dynamic equation.
- Feb 9, 2004:
Martin Bohner (MAA Seminar): Taking derivatives differently
- Jan 28, 2004:
Matt Insall: Derivatives in topological fields.
- Jan 21, 2004:
Miron Bekker: Tangential interpolation problem for a class of automorphic matrix-valued functions (Part II).
- Jan 14, 2004:
Miron Bekker: Tangential interpolation problem for a class of automorphic matrix-valued functions.
- Dec 10, 2003:
Roman Dwilewicz: Complex analytic extension problems (Part IV).
- Dec 3, 2003:
Roman Dwilewicz: Complex analytic extension problems (Part III).
- Nov 21, 2003:
Donald Lutz (SDSU): Asymptotic behavior and error estimates for the solutions of a certain class of differential equations.
- Nov 19, 2003:
Roman Dwilewicz: Complex analytic extension problems (Part II).
- Nov 12, 2003:
Roman Dwilewicz: Complex analytic extension problems.
- Nov 5, 2003:
Leon Hall: Series solutions for dynamic systems.
- Oct 22, 2003:
Elvan Akin: Some dynamic inequalities.
- Oct 15, 2003:
Vy Le: Some bifurcation problems in variational analysis.
- Oct 8, 2003:
David Grow: An inverse problem in environmental engineering.
- Oct 1, 2003:
Howard Warth: Self-adjoint dynamic equations of second order.
- Sep 24, 2003:
Steve Clark: Nonoscillation, positive eigenvalues, and stable boundedness.
- Sep 17, 2003:
Gearoid MacSithigh: A Condition for Mielke-Sprenger type for incompressible nonlinear elasticity. Abstract
- Sep 10, 2003:
Martin Bohner: Some oscillation criteria for first order dynamic equations. Abstract
- Apr 11, 2003:
Gary Sampson (AU): Estimates for oscillatory integrals in higher dimensions.
- Feb 26, 2003:
Howard Warth: Laplace transform and Z-transform
- Feb 26, 2003:
Roman Dwilewicz: Introduction to Cauchy-Riemann geometry (Part III)
- Feb 19, 2003:
Ahmed Usman: The exponential function on time scales
- Feb 19, 2003:
Roman Dwilewicz: Introduction to Cauchy-Riemann geometry (Part II)
- Feb 12, 2003:
Sabrina Campbell: Introducing the time scales calculus
- Feb 12, 2003:
Roman Dwilewicz: Introduction to Cauchy-Riemann geometry
- Feb 5, 2003:
Miron Bekker: Theory of self-adjoint extensions of symmetric operators (III)
- Jan 29, 2003:
Martin Bohner (Graduate Student Seminar): Taking derivatives differently
- Jan 29, 2003:
Miron Bekker: Theory of self-adjoint extensions of symmetric operators (II)
- Jan 22, 2003:
Miron Bekker: Theory of self-adjoint extensions of symmetric operators (I)
- Nov 13, 2002:
Alexej Kytmanov: A New Class of Integral Representations
- Nov 8, 2002:
Werner Kratz (Ulm): Continuous and Discrete Oscillation
- Nov 6, 2002:
Calvin Ahlbrandt (UMC): Minimal Entropy Probability Paths Between Genome Families
- Oct 30, 2002:
Vy Le: Nontrivial Solutions of Quasi-Linear Equations with Slowly Growing Principal Parts
- Oct 23, 2002:
Elvan Akin-Bohner: Lower and Upper Solutions for Boundary Value Problems
- Oct 8, 2002:
David Grow: Independence of Characters on Compact Groups
- Oct 1, 2002:
Martin Bohner: The Regressive Vector Space
- Sep 25, 2002:
Martin Bohner: The Regressive Vector Space (Cancelled)
- Sep 18, 2002:
Miron Bekker: Generalization of the Helson-Szego Theorem
- May 9, 2001:
Donald Lutz (SDSU): Cauchy and Connection Problems
- Apr 24, 2001:
Tim Randolph: Frequency-domain stability for well-posed control systems
- Apr 17, 2001:
David Grow: All derivations of the Black-Scholes
options pricing model have gaps
(Cancelled)
- Apr 10, 2001:
Gearoid MacSithigh: Quasiconvexity at the boundary in incompressible
nonlinear elasticity theory
- Mar 6, 2001:
Don Mueller: The Integral Transform Method applied to Multidimensional Radiative Transfer
- Feb 27, 2001:
Daniel Treat: The Stone-Weierstrass Theorem
- Feb 20, 2001:
Vy Le: Sub-Supersolutions in Variational Inequalities
- Feb 6, 2001:
Roger Hering: Perturbation Results for Linear Differential and Difference Equations
- Jan 30, 2001:
Martin Bohner: Laplace Transform and Z-Transform: Unification and Extension
- Dec 6, 2000:
Ravi Agarwal (NUS): Existence Criteria for Singular Initial Value Problems with Sign Changing Nonlinearities
- Dec 4, 2000:
Ravi Agarwal (NUS): Singular and Nonsingular Boundary Value Problems on Infinite Intervals
- November 15, 2000:
David Grow: Independence of Characters (Part II)
- November 8, 2000:
David Grow: Independence of Characters
- October 25, 2000:
Stefan Hilger (KUE): Fourier Transform via Measure Chains
- October 23, 2000:
Stefan Hilger (KUE): Discrete and Continuous Analysis via Measure Chains
- October 11, 2000:
Kevin Pilgrim: Combinatorial Rigidity in Complex Dynamics
- October 5, 2000:
Jose Castillo (SDSU): High-Order Mimetic Finite Difference Methods
- September 27, 2000:
Martin Bohner: First and Second Order Dynamic Equations on Time Scales
- September 20, 2000:
Tim Randolph: Types of Stability for PDE Control Systems (Part II)
- September 13, 2000:
Tim Randolph: Types of Stability for PDE Control Systems
- May 11, 2000:
Ravi Agarwal (NUS): Hermite Continuous and Discrete Boundary Value Problems
- May 1, 2000:
Saber Elaydi (TU): Asymptotics of Difference Equations
- March 1, 2000:
Billur Kaymakcalan (METU): Opial Type Inequalities on Time Scales and Some Applications
- February 23, 2000:
Tim Randolph: Optimal Control for a Heat Equation (Maybe)
- December 1, 1999:
Steve Clark:
Asymptotics of the Weyl M-Function
- November 10, 1999:
Martin Bohner:
Positivity of Block Tridiagonal Matrices
- October 27, 1999:
Steve Clark:
Introduction to the Weyl M-Function for Hamiltonian Systems
(Part II)
- October 20, 1999:
Steve Clark:
Introduction to the Weyl M-Function for Hamiltonian Systems
- October 13, 1999:
Martin Bohner:
The Prüfer Transformation for Time Scales
- September 29, 1999:
Martin Bohner:
The Discrete Prüfer Transformation
- September 27, 1999:
Werner Kratz (Ulm):
Positivity of Quadratic Functionals and Oscillation
- September 22, 1999:
Tim Randolph: Control Theory in Banach Spaces
- September 15, 1999:
Tim Randolph: Control Theory in Banach Spaces
(Cancelled)
- May 12, 1999:
Ondrej Dosly (Brno):
Symplectic Dynamic Systems on Time Scales:
Quadratic Functionals and Oscillation Theory
- May 11, 1999:
Ondrej Dosly (Brno):
Oscillation Theory of Half-Linear Second
Order Differential Equations
- March 5, 1999:
Donald Lutz (SDSU):
Borel Approximants for solutions of differential equations near
irregular singularities
- March 3, 1999:
Paul Eloe (Univ of Dayton):
Markov and Descartes Systems of Solutions of Differential Equations
- February 3, 1999:
Martin Bohner:
Discrete Symplectic and Trigonometric Systems
- January 27, 1999:
Jerry Ridenhour:
A Putzer Algorithm for Matrix Logarithms
- December 9, 1998:
Thierry Chatelain (UMC):
Some results on the Pompeiu Problem and Schiffer's conjectures
- December 2, 1998:
Martin Bohner: Some Introductory Remarks on
Lyapunov Inequalities for Time Scales
- November 11, 1998:
Bernd Straub: Ultraproduct Representations
for Lie Groups (Part II)
- November 6, 1998:
Allan Peterson (UNL):
An application of Hilger's complex plane to solving
a difference equation with step size h
- November 4, 1998:
Bernd Straub: Ultraproduct Representations
for Lie Groups
- October 28, 1998:
Jerry Ridenhour: On Stefan Hilger's Paper
''Special Functions, Laplace and Fourier Transform on Measure
Chains''
- October 21, 1998:
Bernd Straub: Ultraproduct Representations
for Lie Groups (Cancelled)
- October 14, 1998:
Martin Bohner: Asymptotic Behavior of
Discretized Eigenvalue Problems
- September 30, 1998:
Steve Clark: Discrete Liapunov Inequalities
(Part II)
- September 23, 1998:
Steve Clark: Discrete Liapunov Inequalities
- September 16, 1998:
David Grow: Lacunary Series on Compact Groups
(Part II)
- September 9, 1998:
David Grow: Lacunary Series on Compact Groups
- September 2, 1998:
Martin Bohner: An Introduction to Time Scales

- Colloquium / Graduate Student Seminar,
Thursday, April 25, 2002, 2 pm - 3 pm, S220

Oscillation theory for half-linear second order differential equations.**Ondrej Dosly (Masaryk University, Brno, Czech Republic):**`Click here for an abstract` - Research Seminar,
Tuesday, March 12, 2002, 1 pm - 2 pm, S230

Multistep finite element methods for semilinear parabolic PDEs.**Dennis Jackson:** - Research Seminar,
Tuesday, February 26, 2002, 1 pm - 2 pm, S230

Formulas of Bendixson and Alekseev for difference equations.**Martin Bohner:** - Research Seminar,
Tuesday, February 19, 2002, 1 pm - 2 pm, S230

Singular initial value problems.**Ravi Agarwal:** - Research Seminar,
Tuesday, December 4, 2001, 2 pm - 3 pm, SH1

Finite element methods for nonlocal parabolic PDEs.**Dennis Jackson:** - Graduate Student Seminar,
Thursday, November 29, 2001, 1 pm - 2 pm, S220

**Bill Girton:** - Research Seminar,
Tuesday, November 27, 2001, 2 pm - 3 pm, SH1

Enclosure Results for Elliptic Systems.**Siegfried Carl:** - Research Seminar,
Tuesday, November 20, 2001, 2 pm - 3 pm, SH1

Cache efficient Householder bidiagonalization.**Gary Howell:** - Graduate Student Seminar,
Thursday, November 15, 2001, 1 pm - 2 pm, S220

The fundamental theorem of calculus**Laurie Gates:** - Research Seminar,
Tuesday, November 13, 2001, 2 pm - 3 pm, SH1

Cache efficient Householder bidiagonalization.**Gary Howell:** - Graduate Student Seminar,
Thursday, November 8, 2001, 1 pm - 2 pm, S220

**Cesar Martinez:** - Research Seminar,
Tuesday, November 6, 2001, 2 pm - 3 pm, SH1

Zero Structure of Subwronskians for 4th Order Self-Adjoint Differential Equations and Oscillatory Singular Points.**Charles Fulton:** - Graduate Student Seminar,
Thursday, November 1, 2001, 1 pm - 2 pm, S220

The method of characteristics.**Niki Goenaga:** - Research Seminar,
Tuesday, October 30, 2001, 2 pm - 3 pm, SH1

An iterative finite element approximation of solutions to a nonlocal parabolic PDE.**Dennis Jackson:** - Graduate Student Seminar,
Thursday, October 25, 2001, 1 pm - 2 pm, S220

Nonlocal Partial Differential Equations.**Dennis Jackson:** - Research Seminar,
Tuesday, October 23, 2001, 2 pm - 3 pm, SH1

Backward Stability and the LAPACK Library.**Sven Hammarling (Nag Ltd, Oxford, UK):** - Graduate Student Seminar,
Thursday, October 18, 2001, 1 pm - 2 pm, S220

Comparison Results.**Satya Dontha:** - Research Seminar,
Tuesday, October 16, 2001, 2 pm - 3 pm, SH1

Discrete Symplectic Systems.**Martin Bohner:** - Graduate Student Seminar,
Thursday, October 11, 2001, 1 pm - 2 pm, S220

Comparison Results.**Satya Dontha:** - Graduate Student Seminar,
Thursday, October 4, 2001, 1 pm - 2 pm, S220

Comparison Results.**Satya Dontha:** - Colloquium / Graduate Student Seminar,
Thursday, September 27, 2001, 1 pm - 2 pm, S220

Continuous and Discrete Oscillation.**Werner Kratz (Universität Ulm, Germany):**`Click here for an abstract` - Graduate Student Seminar,
Thursday, September 20, 2001, 1 pm - 2 pm, S220

First and Second Order Linear Dynamic Equations on Time Scales.**Martin Bohner:**`Click here for an abstract` - Graduate Student Seminar,
Thursday, September 13, 2001, 1 pm - 2 pm, S220

Comparison Results.**Satya Dontha:** - Graduate Student Seminar,
Thursday, September 6, 2001, 2 pm - 3 pm, Q16

On the Tikhonov Regularization Method for Fredholm Integral Equations of the First Kind with Least Squares Solutions.**Jesus A. Hernandez:**