Periodic Solutions for Semilinear Fourth-Order Differential Inclusions via Nonsmooth Critical Point Theory

Three periodic solutions with prescribed wavelength for a class of semilinear fourth-order differential inclusions are obtained by using a nonsmooth version critical point theorem. Some results of previous related literature are extended.

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Main Authors: Bian-Xia Yang, Hong-Rui Sun
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2014/816490
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author Bian-Xia Yang
Hong-Rui Sun
author_facet Bian-Xia Yang
Hong-Rui Sun
author_sort Bian-Xia Yang
collection DOAJ
description Three periodic solutions with prescribed wavelength for a class of semilinear fourth-order differential inclusions are obtained by using a nonsmooth version critical point theorem. Some results of previous related literature are extended.
format Article
id doaj-art-74bcc7089e5d41a3a7f3ac890fbe7efb
institution Kabale University
issn 2314-8896
2314-8888
language English
publishDate 2014-01-01
publisher Wiley
record_format Article
series Journal of Function Spaces
spelling doaj-art-74bcc7089e5d41a3a7f3ac890fbe7efb2025-08-20T03:34:09ZengWileyJournal of Function Spaces2314-88962314-88882014-01-01201410.1155/2014/816490816490Periodic Solutions for Semilinear Fourth-Order Differential Inclusions via Nonsmooth Critical Point TheoryBian-Xia Yang0Hong-Rui Sun1School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu 730000, ChinaSchool of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu 730000, ChinaThree periodic solutions with prescribed wavelength for a class of semilinear fourth-order differential inclusions are obtained by using a nonsmooth version critical point theorem. Some results of previous related literature are extended.http://dx.doi.org/10.1155/2014/816490
spellingShingle Bian-Xia Yang
Hong-Rui Sun
Periodic Solutions for Semilinear Fourth-Order Differential Inclusions via Nonsmooth Critical Point Theory
Journal of Function Spaces
title Periodic Solutions for Semilinear Fourth-Order Differential Inclusions via Nonsmooth Critical Point Theory
title_full Periodic Solutions for Semilinear Fourth-Order Differential Inclusions via Nonsmooth Critical Point Theory
title_fullStr Periodic Solutions for Semilinear Fourth-Order Differential Inclusions via Nonsmooth Critical Point Theory
title_full_unstemmed Periodic Solutions for Semilinear Fourth-Order Differential Inclusions via Nonsmooth Critical Point Theory
title_short Periodic Solutions for Semilinear Fourth-Order Differential Inclusions via Nonsmooth Critical Point Theory
title_sort periodic solutions for semilinear fourth order differential inclusions via nonsmooth critical point theory
url http://dx.doi.org/10.1155/2014/816490
work_keys_str_mv AT bianxiayang periodicsolutionsforsemilinearfourthorderdifferentialinclusionsvianonsmoothcriticalpointtheory
AT hongruisun periodicsolutionsforsemilinearfourthorderdifferentialinclusionsvianonsmoothcriticalpointtheory