Existence and Global Exponential Stability of Almost Periodic Solutions for a Class of Delay Duffing Equations on Time Scales-Reference-Cited by-同舟云学术

Existence and Global Exponential Stability of Almost Periodic Solutions for a Class of Delay Duffing Equations on Time Scales

Published:2014 Issue: Volume:2014 Page:1-8
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Yang Li¹,Li Yongkun¹

Affiliation:

1. Department of Mathematics, Yunnan University, Kunming, Yunnan 650091, China

Abstract

Based on the exponential dichotomy of linear dynamic equations on time scales, we obtain some sufficient conditions for the existence and global exponential stability of almost periodic solutions for a class of Duffing equations with time-varying delays on time scales. We also present numerical examples to show the feasibility of obtained results. The results of this paper are completely new even when the time scaleT=RorZand are complementary to the previously known results.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2014/857161.pdf

Reference11 articles.

1. Semilinear Duffing Equations Crossing Resonance Points

2. Boundedness of Solutions for Semilinear Duffing Equations

3. The existence and uniqueness of periodic solutions for a kind of Duffing-type equation with two deviating arguments

4. Almost periodic solutions for nonlinear duffing equations

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