Periodic Solutions for Second-Order Ordinary Differential Equations with Linear Nonlinearity

By using minimax methods in critical point theory, we obtain the existence of periodic solutions for second-order ordinary differential equations with linear nonlinearity.

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Main Authors: Xiaohong Hu, Dabin Wang, Changyou Wang
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/670287
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author Xiaohong Hu
Dabin Wang
Changyou Wang
author_facet Xiaohong Hu
Dabin Wang
Changyou Wang
author_sort Xiaohong Hu
collection DOAJ
description By using minimax methods in critical point theory, we obtain the existence of periodic solutions for second-order ordinary differential equations with linear nonlinearity.
format Article
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institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2014-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-939ba3966f7a4bf8a7392253ab45b8d32025-02-03T05:46:35ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/670287670287Periodic Solutions for Second-Order Ordinary Differential Equations with Linear NonlinearityXiaohong Hu0Dabin Wang1Changyou Wang2School of Mathematics and Physics, Chongqing University of Posts and Telecommunications, Chongqing 400065, ChinaDepartment of Applied Mathematics, Lanzhou University of Technology, Lanzhou, Gansu 730050, ChinaSchool of Mathematics and Physics, Chongqing University of Posts and Telecommunications, Chongqing 400065, ChinaBy using minimax methods in critical point theory, we obtain the existence of periodic solutions for second-order ordinary differential equations with linear nonlinearity.http://dx.doi.org/10.1155/2014/670287
spellingShingle Xiaohong Hu
Dabin Wang
Changyou Wang
Periodic Solutions for Second-Order Ordinary Differential Equations with Linear Nonlinearity
Abstract and Applied Analysis
title Periodic Solutions for Second-Order Ordinary Differential Equations with Linear Nonlinearity
title_full Periodic Solutions for Second-Order Ordinary Differential Equations with Linear Nonlinearity
title_fullStr Periodic Solutions for Second-Order Ordinary Differential Equations with Linear Nonlinearity
title_full_unstemmed Periodic Solutions for Second-Order Ordinary Differential Equations with Linear Nonlinearity
title_short Periodic Solutions for Second-Order Ordinary Differential Equations with Linear Nonlinearity
title_sort periodic solutions for second order ordinary differential equations with linear nonlinearity
url http://dx.doi.org/10.1155/2014/670287
work_keys_str_mv AT xiaohonghu periodicsolutionsforsecondorderordinarydifferentialequationswithlinearnonlinearity
AT dabinwang periodicsolutionsforsecondorderordinarydifferentialequationswithlinearnonlinearity
AT changyouwang periodicsolutionsforsecondorderordinarydifferentialequationswithlinearnonlinearity