Almost Periodic Solutions for Second Order Dynamic Equations on Time Scales

Almost Periodic Solutions for Second Order Dynamic Equations on Time Scales

We firstly introduce the concept and the properties of Cm almost periodic functions on time scales, which generalizes the concept of almost periodic functions on time scales and the concept of C(n)-almost periodic functions. Secondly, we consider the existence and uniqueness of almost periodic solut...

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Main Authors: Yan Wang, Lan Li
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2013/784198
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spelling doaj-6f31f59f2ac24118bb329076fab0c6642020-11-24T23:55:31ZengHindawi LimitedDiscrete Dynamics in Nature and Society1026-02261607-887X2013-01-01201310.1155/2013/784198784198Almost Periodic Solutions for Second Order Dynamic Equations on Time ScalesYan Wang0Lan Li1School of Mathematical Sciences, Dalian University of Technology, Dalian, Liaoning 116024, ChinaCollege of Mathematics and Computational Science, Shenzhen University, Shenzhen 518060, ChinaWe firstly introduce the concept and the properties of Cm almost periodic functions on time scales, which generalizes the concept of almost periodic functions on time scales and the concept of C(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.http://dx.doi.org/10.1155/2013/784198
collection DOAJ
language English
format Article
sources DOAJ
author Yan Wang
Lan Li
spellingShingle Yan Wang
Lan Li
Almost Periodic Solutions for Second Order Dynamic Equations on Time Scales
Discrete Dynamics in Nature and Society
author_facet Yan Wang
Lan Li
author_sort Yan Wang
title Almost Periodic Solutions for Second Order Dynamic Equations on Time Scales
title_short Almost Periodic Solutions for Second Order Dynamic Equations on Time Scales
title_full Almost Periodic Solutions for Second Order Dynamic Equations on Time Scales
title_fullStr Almost Periodic Solutions for Second Order Dynamic Equations on Time Scales
title_full_unstemmed Almost Periodic Solutions for Second Order Dynamic Equations on Time Scales
title_sort almost periodic solutions for second order dynamic equations on time scales
publisher Hindawi Limited
series Discrete Dynamics in Nature and Society
issn 1026-0226
1607-887X
publishDate 2013-01-01
description We firstly introduce the concept and the properties of Cm almost periodic functions on time scales, which generalizes the concept of almost periodic functions on time scales and the concept of C(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.
url http://dx.doi.org/10.1155/2013/784198
work_keys_str_mv AT yanwang almostperiodicsolutionsforsecondorderdynamicequationsontimescales
AT lanli almostperiodicsolutionsforsecondorderdynamicequationsontimescales
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