Nontrivial Periodic Solutions to Some Semilinear Sixth-Order Difference Equations

Nontrivial Periodic Solutions to Some Semilinear Sixth-Order Difference Equations

We establish some new criteria to guarantee nonexistence, existence, and multiplicity of nontrivial periodic solutions of some semilinear sixth-order difference equations by using minmax method, Z2 index theory, and variational technique. Our results only make some assumptions on the period T, which...

Full description

Bibliographic Details
Main Author: Yuhua Long
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/359105
id doaj-1a04e022b41f49239a3514768a1d5e32
record_format Article
spelling doaj-1a04e022b41f49239a3514768a1d5e322020-11-25T01:06:24ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/359105359105Nontrivial Periodic Solutions to Some Semilinear Sixth-Order Difference EquationsYuhua Long0School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, ChinaWe establish some new criteria to guarantee nonexistence, existence, and multiplicity of nontrivial periodic solutions of some semilinear sixth-order difference equations by using minmax method, Z2 index theory, and variational technique. Our results only make some assumptions on the period T, which are very easy to verify and rather relaxed.http://dx.doi.org/10.1155/2014/359105
collection DOAJ
language English
format Article
sources DOAJ
author Yuhua Long
spellingShingle Yuhua Long
Nontrivial Periodic Solutions to Some Semilinear Sixth-Order Difference Equations
Abstract and Applied Analysis
author_facet Yuhua Long
author_sort Yuhua Long
title Nontrivial Periodic Solutions to Some Semilinear Sixth-Order Difference Equations
title_short Nontrivial Periodic Solutions to Some Semilinear Sixth-Order Difference Equations
title_full Nontrivial Periodic Solutions to Some Semilinear Sixth-Order Difference Equations
title_fullStr Nontrivial Periodic Solutions to Some Semilinear Sixth-Order Difference Equations
title_full_unstemmed Nontrivial Periodic Solutions to Some Semilinear Sixth-Order Difference Equations
title_sort nontrivial periodic solutions to some semilinear sixth-order difference equations
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2014-01-01
description We establish some new criteria to guarantee nonexistence, existence, and multiplicity of nontrivial periodic solutions of some semilinear sixth-order difference equations by using minmax method, Z2 index theory, and variational technique. Our results only make some assumptions on the period T, which are very easy to verify and rather relaxed.
url http://dx.doi.org/10.1155/2014/359105
work_keys_str_mv AT yuhualong nontrivialperiodicsolutionstosomesemilinearsixthorderdifferenceequations
_version_ 1725190434825699328

Similar Items