R.Hilscher, P.Rehak

Riccati inequality, disconjugacy, and reciprocity principle for linear Hamiltonian dynamic systems

Abstract

We investigate linear Hamiltonian dynamic systems (H). In particular, we characterize the disconjugacy of (H) in terms of the solvability of a Riccati inequality. This generalizes the known result of linear Hamiltonian differential systems and yields a new result for the discrete case. Further, we investigate a connection between eventual disconjugacy of (H) and its reciprocal system.


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Last change: January 10, 2003. (c) Roman Hilscher