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.
Recommended Citation
S. Bodine et al., "Asymptotic Behavior of Solutions of Dynamic Equations," Journal of Mathematical Sciences, Springer, Dec 2004.
Department(s)
Mathematics and Statistics
Keywords and Phrases
Asymptotic behavior; Dynamic equations; Linear dynamic systems; Solution matrix
International Standard Serial Number (ISSN)
1072-3374
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2004 Springer, All rights reserved.
Publication Date
01 Dec 2004
