Almost Periodic Solutions for Second Order Dynamic Equations on Time Scales-Reference-Cited by-同舟云学术

Almost Periodic Solutions for Second Order Dynamic Equations on Time Scales

Published:2013 Issue: Volume:2013 Page:1-11
ISSN:1026-0226
Container-title:Discrete Dynamics in Nature and Society
language:en
Short-container-title:Discrete Dynamics in Nature and Society

Author:

Wang Yan¹^ORCID,Li Lan²

Affiliation:

1. School of Mathematical Sciences, Dalian University of Technology, Dalian, Liaoning 116024, China

2. College of Mathematics and Computational Science, Shenzhen University, Shenzhen 518060, China

Abstract

We firstly introduce the concept and the properties ofCmalmost periodic functions on time scales, which generalizes the concept of almost periodic functions on time scales and the concept ofC(n)-almost periodic functions. Secondly, we consider the existence and uniqueness of almost periodic solutions for second order dynamic equations on time scales by Schauder’s fixed point theorem and contracting mapping principle. At last, we obtain alternative theorems for second order dynamic equations on time scales.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Modeling and Simulation

Link

http://downloads.hindawi.com/journals/ddns/2013/784198.pdf

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