Oscillation of Symplectic Dynamic Systems

Abstract

We investigate oscillatory properties of a perturbed symplectic dynamic system on a time scale that is unbounded above. The unperturbed system is supposed to be nonoscillatory, and we give conditions on the perturbation matrix, which guarantee that the perturbed system becomes oscillatory. Examples illustrating the general results are given as well.

Department(s)

Mathematics and Statistics

Keywords and Phrases

Oscillation; perturbation matrix; symplectic dynamic systems

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2004 Australian Mathematical Society, All rights reserved.

Publication Date

01 Jan 2004

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