Existence and nonexistence of solutions for fourth-order nonlinear difference boundary value problems via variational methods
type: Item
instance of: scholarly article
title: Existence and nonexistence of solutions for fourth-order nonlinear difference boundary value problems via variational methods
zbMATH Open document ID: 1417.39015
DOI: 10.1155/2018/6703503
author: Xia Liu
author: Tao Zhou
author: Haiping Shi
published in: Discrete Dynamics in Nature and Society
publication date: 2019-02-20T00:00:00Z
review text: Summary: This paper is concerned with boundary value problems for a fourth-order nonlinear difference equation. Via variational methods and critical point theory, sufficient conditions are obtained for the existence of at least two nontrivial solutions, the existence of \(n\) distinct pairs of nontrivial solutions, and nonexistence of solutions. Some examples are provided to show the effectiveness of the main results.
Mathematics Subject Classification ID: 39A12
zbMATH DE Number: 7026644
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/6703503
OpenAlex ID: W2890778993
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description: scientific article; zbMATH DE number 7026644