Title

Perturbations of Dynamic Equations

Abstract

We give conditions on the coefficient matrix for certain perturbed linear dynamic equations on time scales ensuring that there exists a bounded solution (which is explicitly given) to which all other solutions converge, and similarly conditions ensuring a bounded solution from which all other solutions diverge. We also consider periodic time scales and corresponding linear dynamic equations with periodic coefficients and prove similar statements about periodic solutions to which all other solutions converge or from which all other solutions diverge.

Department(s)

Mathematics and Statistics

Keywords and Phrases

time scales; perturbed Dynamic equations; periodic dynamic equations

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2002 Taylor & Francis, All rights reserved.

Share

 
COinS