Open Access

Exponential stability of dynamic equations on time scales

Advances in Difference Equations20052005:858671

https://doi.org/10.1155/ADE.2005.133

Received: 6 July 2004

Published: 31 May 2005

Abstract

We investigate the exponential stability of the zero solution to a system of dynamic equations on time scales. We do this by defining appropriate Lyapunov-type functions and then formulate certain inequalities on these functions. Several examples are given.

Authors’ Affiliations

(1)
Department of Mathematics, College of Arts and Sciences, University of Nebraska–Lincoln
(2)
Department of Mathematics, College of Arts and Sciences, University of Dayton

Copyright

© Peterson and Raffoul 2005