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	https://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.
Related projects:	Diferenční rovnice a dynamické rovnice na time scales III Hamiltonovské a symplektické systémy: oscilační a spektrální teorie