We examine transformations and disconjugacy for general symplectic systems which include as special cases linear Hamiltonian Difference Systems and Sturm-Liouville Difference Equations of higher order. We give a Reid Roundabout Theorem for these systems and also for reciprocal symplectic systems. Particularly, we investigate a connection between eventual disconjugacy of linear Hamiltonian Difference Systems and their reciprocals. Finally, we present a disconjugacy-preserving transformation of a Sturm-Liouville Equation of higher order which transforms this equation into another one of the same order.

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