Advances in Difference Equations
Volume 2005 (2005), Issue 2, Pages 133-144
doi:10.1155/ADE.2005.133
Exponential stability of dynamic equations on time scales
Allan C. Peterson1
and Youssef N. Raffoul2
1Department of Mathematics, College of Arts and Sciences, University of Nebraska-Lincoln, Lincoln 68588-0130, NE, USA
2Department of Mathematics, College of Arts and Sciences, University of Dayton, Dayton 45469-2316, OH, USA
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.