Relative oscillation of linear Hamiltonian differential systems

Warning

This publication doesn't include Institute of Computer Science. It includes Faculty of Science. Official publication website can be found on muni.cz.

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