Lyapunov Function and Exponential Trichotomy on Time Scales-Reference-Cited by-同舟云学术

Lyapunov Function and Exponential Trichotomy on Time Scales

Published:2011 Issue: Volume:2011 Page:1-22
ISSN:1026-0226
Container-title:Discrete Dynamics in Nature and Society
language:en
Short-container-title:Discrete Dynamics in Nature and Society

Author:

Zhang Ji¹

Affiliation:

1. College of Mathematics, Jilin University, Changchun 130012, China

Abstract

We study the relation between Lyapunov function and exponential trichotomy for the linear equation on time scales. Furthermore, as an application of these results, we give the roughness of exponential trichotomy on time scales.

Publisher

Hindawi Limited

Subject

Modelling and Simulation

Link

http://downloads.hindawi.com/journals/ddns/2011/958381.pdf

Reference23 articles.

1. Existence of dichotomies and invariant splittings for linear differential systems, III

2. Exponential trichotomy of differential systems

3. On exponential trichotomy of linear difference equations

4. Exponential trichotomy and a class of ergodic solutions of differential equations with ergodic perturbations

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