All interested faculty and students are invited to attend.
Martin Bohner talks on
The Prüfer Transformation for Time Scales.
The classical Prüfer transformation has proved to be a useful tool in
the study of Sturm-Liouville theory. In this talk we introduce the
Prüfer transformation for self-adjoint difference
equations and use it to obtain oscillation
criteria and other results. We then offer an extension of this approach to
the case of general symplectic systems on time scales. Time scales have
been introduced in order to unify discrete and continuous analysis,
and indeed our results cover as special cases both the
Prüfer transformation for
differential and for difference equations.