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

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Authors

HILSCHER Roman ŘEHÁK Pavel

Year of publication 2003
Type Article in Periodical
Magazine / Source Dynamic Systems and Applications
MU Faculty or unit

Faculty of Education

Citation
Field General mathematics
Keywords time scale; linear Hamiltonian dynamic system; disconjugacy; Riccati inequality; reciprocity principle
Description 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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