Existence and Uniqueness of Periodic Solutions for Second Order Differential Equations

We study some second order ordinary differential equations. We establish the existence and uniqueness in some appropriate function space. By using Schauder’s fixed-point theorem, new results on the existence and uniqueness of periodic solutions are obtained.

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Main Author: Yuanhong Wei
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2014/246258
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author Yuanhong Wei
author_facet Yuanhong Wei
author_sort Yuanhong Wei
collection DOAJ
description We study some second order ordinary differential equations. We establish the existence and uniqueness in some appropriate function space. By using Schauder’s fixed-point theorem, new results on the existence and uniqueness of periodic solutions are obtained.
format Article
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institution DOAJ
issn 2314-8896
2314-8888
language English
publishDate 2014-01-01
publisher Wiley
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series Journal of Function Spaces
spelling doaj-art-021fbe56fe9b451da479e0f3bd9398c02025-08-20T03:22:29ZengWileyJournal of Function Spaces2314-88962314-88882014-01-01201410.1155/2014/246258246258Existence and Uniqueness of Periodic Solutions for Second Order Differential EquationsYuanhong Wei0College of Mathematics, Jilin University, Changchun 130012, ChinaWe study some second order ordinary differential equations. We establish the existence and uniqueness in some appropriate function space. By using Schauder’s fixed-point theorem, new results on the existence and uniqueness of periodic solutions are obtained.http://dx.doi.org/10.1155/2014/246258
spellingShingle Yuanhong Wei
Existence and Uniqueness of Periodic Solutions for Second Order Differential Equations
Journal of Function Spaces
title Existence and Uniqueness of Periodic Solutions for Second Order Differential Equations
title_full Existence and Uniqueness of Periodic Solutions for Second Order Differential Equations
title_fullStr Existence and Uniqueness of Periodic Solutions for Second Order Differential Equations
title_full_unstemmed Existence and Uniqueness of Periodic Solutions for Second Order Differential Equations
title_short Existence and Uniqueness of Periodic Solutions for Second Order Differential Equations
title_sort existence and uniqueness of periodic solutions for second order differential equations
url http://dx.doi.org/10.1155/2014/246258
work_keys_str_mv AT yuanhongwei existenceanduniquenessofperiodicsolutionsforsecondorderdifferentialequations