Nontrivial solutions for boundary value problems of a fourth order difference equation with sign-changing nonlinearity

Abstract In this paper, using the topological degree theory, we establish two existence theorems for nontrivial solutions for boundary value problems of a fourth order difference equation with a sign-changing nonlinearity.

Bibliographic Details
Main Authors:	Keyu Zhang, Donal O’Regan, Zhengqing Fu
Format:	Article
Language:	English
Published:	SpringerOpen 2018-10-01
Series:	Advances in Difference Equations
Subjects:	Difference equations boundary value problems Sign-changing nonlinearity Nontrivial solutions Topological degree theory
Online Access:	http://link.springer.com/article/10.1186/s13662-018-1840-3

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spelling	doaj-30896ad945744bd7b0765609ec54c8ad2020-11-25T01:18:34ZengSpringerOpenAdvances in Difference Equations1687-18472018-10-012018111310.1186/s13662-018-1840-3Nontrivial solutions for boundary value problems of a fourth order difference equation with sign-changing nonlinearityKeyu Zhang0Donal O’Regan1Zhengqing Fu2School of Mathematics, Qilu Normal UniversitySchool of Mathematics, Statistics and Applied Mathematics, National University of IrelandCollege of Mathematics and System Sciences, Shandong University of Science and TechnologyAbstract In this paper, using the topological degree theory, we establish two existence theorems for nontrivial solutions for boundary value problems of a fourth order difference equation with a sign-changing nonlinearity.http://link.springer.com/article/10.1186/s13662-018-1840-3Difference equations boundary value problemsSign-changing nonlinearityNontrivial solutionsTopological degree theory
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Keyu Zhang Donal O’Regan Zhengqing Fu
spellingShingle	Keyu Zhang Donal O’Regan Zhengqing Fu Nontrivial solutions for boundary value problems of a fourth order difference equation with sign-changing nonlinearity Advances in Difference Equations Difference equations boundary value problems Sign-changing nonlinearity Nontrivial solutions Topological degree theory
author_facet	Keyu Zhang Donal O’Regan Zhengqing Fu
author_sort	Keyu Zhang
title	Nontrivial solutions for boundary value problems of a fourth order difference equation with sign-changing nonlinearity
title_short	Nontrivial solutions for boundary value problems of a fourth order difference equation with sign-changing nonlinearity
title_full	Nontrivial solutions for boundary value problems of a fourth order difference equation with sign-changing nonlinearity
title_fullStr	Nontrivial solutions for boundary value problems of a fourth order difference equation with sign-changing nonlinearity
title_full_unstemmed	Nontrivial solutions for boundary value problems of a fourth order difference equation with sign-changing nonlinearity
title_sort	nontrivial solutions for boundary value problems of a fourth order difference equation with sign-changing nonlinearity
publisher	SpringerOpen
series	Advances in Difference Equations
issn	1687-1847
publishDate	2018-10-01
description	Abstract In this paper, using the topological degree theory, we establish two existence theorems for nontrivial solutions for boundary value problems of a fourth order difference equation with a sign-changing nonlinearity.
topic	Difference equations boundary value problems Sign-changing nonlinearity Nontrivial solutions Topological degree theory
url	http://link.springer.com/article/10.1186/s13662-018-1840-3
work_keys_str_mv	AT keyuzhang nontrivialsolutionsforboundaryvalueproblemsofafourthorderdifferenceequationwithsignchangingnonlinearity AT donaloregan nontrivialsolutionsforboundaryvalueproblemsofafourthorderdifferenceequationwithsignchangingnonlinearity AT zhengqingfu nontrivialsolutionsforboundaryvalueproblemsofafourthorderdifferenceequationwithsignchangingnonlinearity
_version_	1725141753257787392

Nontrivial solutions for boundary value problems of a fourth order difference equation with sign-changing nonlinearity

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