Nontrivial periodic solutions to some semilinear sixth-order difference equations
type: Item
instance of: scholarly article
title: Nontrivial periodic solutions to some semilinear sixth-order difference equations
zbMATH Open document ID: 1473.39021
DOI: 10.1155/2014/359105
author: Yuhua Long
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: 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, \(Z_2\) index theory, and variational technique. Our results only make some assumptions on the period \(T\), which are very easy to verify and rather relaxed.
Mathematics Subject Classification ID: 39A23
zbMATH DE Number: 7022221
zbMATH Keywords: periodic solutions
zbMATH Keywords: existence of solutions
Wikidata QID: Q59036583
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/359105
OpenAlex ID: W1978778867
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description: scientific article; zbMATH DE number 7022221