Relative oscillation of linear Hamiltonian differential systems

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Authors

DOŠLÝ Ondřej

Year of publication 2017
Type Article in Periodical
Magazine / Source Mathematische Nachrichten
MU Faculty or unit

Faculty of Science

Citation
Doi http://dx.doi.org/10.1002/mana.201400211
Field General mathematics
Keywords linear Hamiltonian differential system; relative oscillation; Prüfer transformation; Riccati technique; trigonometric matrix
Description We discuss the concept of relative oscillation for linear Hamiltonian differential systems. We prove a statement which enables to study this oscillation using the criteria of the classical oscillation theory. We also discuss some other aspects of the problem.
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