EXPONENTIAL STABILITY OF DYNAMIC EQUATIONS ON TIME SCALES

Authors

Allan C. Peterson, University of Nebraska-LincolnFollow
Youssef N. Raffoul, University of DaytonFollow

Date of this Version

2005

Citation

Advances in Difference Equations 2005:2 (2005) 133–144

Comments

Copyright © 2005 Hindawi Publishing Corporation

DOI: 10.1155/ADE.2005.133

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.