Relative oscillation of linear Hamiltonian differential systems

Relative oscillation of linear Hamiltonian differential systems

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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Veröffentlicht in:Mathematische Nachrichten 2017-10, Vol.290 (14-15), p.2234-2246
1. Verfasser: Dosly, Ondrej
Format: Artikel
Sprache:eng
Schlagworte:
34C10
Linear Hamiltonian differential system
Prüfer transformation
relative oscillation
Riccati technique
trigonometric matrices
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Beschreibung
Zusammenfassung: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.
ISSN:0025-584X
1522-2616
DOI:10.1002/mana.201400211