Lyapunov-type Inequalities for Planar Linear Dynamic Hamiltonian Systems

Abstract

We give new Lyapunov-type inequalities for linear Hamiltonian systems on arbitrary time scales, which improve recently published results and hence all the related ones in the literature. As an application, we obtain new diconjugacy criteria for linear Hamiltonian systems.

Department(s)

Mathematics and Statistics

Keywords and Phrases

Dynamic equations; Hamiltonian systems; Lyapunov inequality; Time scales; Time scales exponential function

International Standard Serial Number (ISSN)

1452-8630

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2024 Applicable Analysis and Discrete Mathematics, All rights reserved.

Publication Date

01 Apr 2013

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