Title

Lyapunov Inequalities for Time Scales

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.

Department(s)

Mathematics and Statistics

Keywords and Phrases

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

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2002 Springer Verlag, All rights reserved.


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