Subharmonic Solutions with Prescribed Minimal Periodic for a Class of Second-Order Impulsive Functional Differential Equations

Subharmonic Solutions with Prescribed Minimal Periodic for a Class of Second-Order Impulsive Functional Differential Equations

By using critical point theory and variational methods, we investigate the subharmonic solutions with prescribed minimal period for a class of second-order impulsive functional differential equations. The conditions for the existence of subharmonic solutions are established. In the end, we provide a...

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Main Authors: Qi Wang, Dicheng Lu, Zhaoyue Zheng
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/457163
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spelling doaj-595a60310fda47d09646c2fd20a34de32020-11-25T00:55:03ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/457163457163Subharmonic Solutions with Prescribed Minimal Periodic for a Class of Second-Order Impulsive Functional Differential EquationsQi Wang0Dicheng Lu1Zhaoyue Zheng2School of Mathematical Sciences, Anhui University, Hefei 230039, ChinaSchool of Mathematical Sciences, Anhui University, Hefei 230039, ChinaSchool of Mathematical Sciences, Anhui University, Hefei 230039, ChinaBy using critical point theory and variational methods, we investigate the subharmonic solutions with prescribed minimal period for a class of second-order impulsive functional differential equations. The conditions for the existence of subharmonic solutions are established. In the end, we provide an example to illustrate our main results.http://dx.doi.org/10.1155/2012/457163
collection DOAJ
language English
format Article
sources DOAJ
author Qi Wang
Dicheng Lu
Zhaoyue Zheng
spellingShingle Qi Wang
Dicheng Lu
Zhaoyue Zheng
Subharmonic Solutions with Prescribed Minimal Periodic for a Class of Second-Order Impulsive Functional Differential Equations
Abstract and Applied Analysis
author_facet Qi Wang
Dicheng Lu
Zhaoyue Zheng
author_sort Qi Wang
title Subharmonic Solutions with Prescribed Minimal Periodic for a Class of Second-Order Impulsive Functional Differential Equations
title_short Subharmonic Solutions with Prescribed Minimal Periodic for a Class of Second-Order Impulsive Functional Differential Equations
title_full Subharmonic Solutions with Prescribed Minimal Periodic for a Class of Second-Order Impulsive Functional Differential Equations
title_fullStr Subharmonic Solutions with Prescribed Minimal Periodic for a Class of Second-Order Impulsive Functional Differential Equations
title_full_unstemmed Subharmonic Solutions with Prescribed Minimal Periodic for a Class of Second-Order Impulsive Functional Differential Equations
title_sort subharmonic solutions with prescribed minimal periodic for a class of second-order impulsive functional differential equations
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2012-01-01
description By using critical point theory and variational methods, we investigate the subharmonic solutions with prescribed minimal period for a class of second-order impulsive functional differential equations. The conditions for the existence of subharmonic solutions are established. In the end, we provide an example to illustrate our main results.
url http://dx.doi.org/10.1155/2012/457163
work_keys_str_mv AT qiwang subharmonicsolutionswithprescribedminimalperiodicforaclassofsecondorderimpulsivefunctionaldifferentialequations
AT dichenglu subharmonicsolutionswithprescribedminimalperiodicforaclassofsecondorderimpulsivefunctionaldifferentialequations
AT zhaoyuezheng subharmonicsolutionswithprescribedminimalperiodicforaclassofsecondorderimpulsivefunctionaldifferentialequations
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