Lyapunov Inequalities for Time Scales

Author

Martin Bohner, Missouri University of Science and TechnologyFollow
Stephen L. Clark, Missouri University of Science and TechnologyFollow
Jerry Ridenhour

Editor(s)

Agarwall, Ravi P.

Abstract

The theory of time scales has been introduced in order to unify discrete and continuous analysis. We present a Lyapunov inequality for Sturm-Liouville dynamic equations of second order on such time scales, which can be applied to obtain a disconjugacy criterion for these equations. We also extend the presented material to the case of a general linear Hamiltonian dynamic system on time scales. Some special cases of our results contain the classical Lyapunov inequalities for differential equations as well as only recently developed Lyapunov inequalities for difference equations.

Recommended Citation

M. Bohner et al., "Lyapunov Inequalities for Time Scales," Journal of Inequalities and Applications, Springer Verlag, Jan 2002.

The definitive version is available at https://doi.org/10.1155/S102558340200005X

Department(s)

Mathematics and Statistics

Keywords and Phrases

time scales; Lyapunov inequality; Dynamic equations; Disconjugacy; Hamiltonian system

International Standard Serial Number (ISSN)

1025-5834

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2002 Springer Verlag, All rights reserved.

Publication Date

01 Jan 2002