Exponential Stability in Functional Dynamic Equations on Time Scales

Author

Elvan Akin, Missouri University of Science and TechnologyFollow
Youssef N. Raffoul
Christopher Tisdell

Abstract

We are interested in the exponential stability of the zero solution of a functional dynamic equation on a time scale, a nonempty closed subset of real numbers. The approach is based on suitable Lyapunov functionals and certain inequalities. We apply our results to obtain exponential stability in Volterra integrodynamic equations on time scales.

Recommended Citation

E. Akin et al., "Exponential Stability in Functional Dynamic Equations on Time Scales," Communications in Mathematical Analysis, Duke University Press, Jan 2010.

Department(s)

Mathematics and Statistics

Keywords and Phrases

measure chains; time scales; Lyapunov functionals; non-negative definite; exponential stability; Volterra integro-dynamic equations

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2010 Duke University Press, All rights reserved.

Publication Date

01 Jan 2010