Periodic and subharmonic solutions for fourth-order p-Laplacian difference equations

Periodic and subharmonic solutions for fourth-order p-Laplacian difference equations

Using critical point theory, we obtain criteria for the existence and multiplicity of periodic and subharmonic solutions to fourth-order p-Laplacian difference equations. The proof is based on the Linking Theorem in combination with variational technique. Recent results in the literature are gen...

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Bibliographic Details
Main Authors: Xia Liu, Yuanbiao Zhang, Haiping Shi
Format: Article
Language:English
Published: Texas State University 2014-01-01
Series:Electronic Journal of Differential Equations
Subjects:
Periodic and subharmonic solution
p-Laplacian
difference equation
discrete variational theory
Online Access:http://ejde.math.txstate.edu/Volumes/2014/25/abstr.html
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spelling doaj-6022cac8589147198baf73391dd7c3222020-11-24T21:09:03ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912014-01-01201425,112Periodic and subharmonic solutions for fourth-order p-Laplacian difference equationsXia Liu0Yuanbiao Zhang1Haiping Shi2 Agricultural Univ., Changsha 410128, China Jinan University, Zhuhai, China Guangdong Construction Vocational Tech. Inst., Guangzhou, China Using critical point theory, we obtain criteria for the existence and multiplicity of periodic and subharmonic solutions to fourth-order p-Laplacian difference equations. The proof is based on the Linking Theorem in combination with variational technique. Recent results in the literature are generalized and improved.http://ejde.math.txstate.edu/Volumes/2014/25/abstr.htmlPeriodic and subharmonic solutionp-Laplaciandifference equationdiscrete variational theory
collection DOAJ
language English
format Article
sources DOAJ
author Xia Liu
Yuanbiao Zhang
Haiping Shi
spellingShingle Xia Liu
Yuanbiao Zhang
Haiping Shi
Periodic and subharmonic solutions for fourth-order p-Laplacian difference equations
Electronic Journal of Differential Equations
Periodic and subharmonic solution
p-Laplacian
difference equation
discrete variational theory
author_facet Xia Liu
Yuanbiao Zhang
Haiping Shi
author_sort Xia Liu
title Periodic and subharmonic solutions for fourth-order p-Laplacian difference equations
title_short Periodic and subharmonic solutions for fourth-order p-Laplacian difference equations
title_full Periodic and subharmonic solutions for fourth-order p-Laplacian difference equations
title_fullStr Periodic and subharmonic solutions for fourth-order p-Laplacian difference equations
title_full_unstemmed Periodic and subharmonic solutions for fourth-order p-Laplacian difference equations
title_sort periodic and subharmonic solutions for fourth-order p-laplacian difference equations
publisher Texas State University
series Electronic Journal of Differential Equations
issn 1072-6691
publishDate 2014-01-01
description Using critical point theory, we obtain criteria for the existence and multiplicity of periodic and subharmonic solutions to fourth-order p-Laplacian difference equations. The proof is based on the Linking Theorem in combination with variational technique. Recent results in the literature are generalized and improved.
topic Periodic and subharmonic solution
p-Laplacian
difference equation
discrete variational theory
url http://ejde.math.txstate.edu/Volumes/2014/25/abstr.html
work_keys_str_mv AT xialiu periodicandsubharmonicsolutionsforfourthorderplaplaciandifferenceequations
AT yuanbiaozhang periodicandsubharmonicsolutionsforfourthorderplaplaciandifferenceequations
AT haipingshi periodicandsubharmonicsolutionsforfourthorderplaplaciandifferenceequations
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