Elements of Lyapunov Stability Theory for Dynamic Equations on Time Scale

Author

A. A. Martynyuk
Martin Bohner, Missouri University of Science and TechnologyFollow

Abstract

Stability of dynamic equations on time scale is analyzed. The main results are new conditions of stability, uniform stability, and uniform asymptotic stability for quasilinear and nonlinear systems.

Recommended Citation

A. A. Martynyuk and M. Bohner, "Elements of Lyapunov Stability Theory for Dynamic Equations on Time Scale," International Applied Mechanics, Springer, Sep 2007.

The definitive version is available at https://doi.org/10.1007/s10778-007-0095-6

Department(s)

Mathematics and Statistics

Keywords and Phrases

Lyapunov functions; asymptotic stability; dynamic equations on time scales; nonlinear integral inequality; stability; uniform stability

International Standard Serial Number (ISSN)

1063-7095

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2007 Springer, All rights reserved.

Publication Date

01 Sep 2007