Title

Asymptotic Behavior of Solutions of Dynamic Equations

Abstract

We consider linear dynamic systems on time scales, which contain as special cases linear differential systems, difference systems, or other dynamic systems. We give an asymptotic representation for a fundamental solution matrix that reduces the study of systems in the sense of asymptotic behavior to the study of scalar dynamic equations. In order to understand the asymptotic behavior of solutions of scalar linear dynamic equations on time scales, we also investigate the behavior of solutions of the simplest types of such scalar equations, which are natural generalizations of the usual exponential function.

Department(s)

Mathematics and Statistics

Keywords and Phrases

Asymptotic behavior; Dynamic equations; Linear dynamic systems; Solution matrix

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2004 Springer, All rights reserved.

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