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

Keyu Zhang; Donal O’Regan; Zhengqing Fu

doi:10.1186/s13662-018-1840-3

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

Keyu Zhang
, Donal O’Regan
, Zhengqing Fu

Mathematics

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

11 Citations (Scopus)

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.

Original language	English
Article number	370
Journal	Advances in Difference Equations
Volume	2018
Issue number	1
DOIs	https://doi.org/10.1186/s13662-018-1840-3
Publication status	Published - 1 Dec 2018

Keywords

Difference equations boundary value problems
Nontrivial solutions
Sign-changing nonlinearity
Topological degree theory

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10.1186/s13662-018-1840-3

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title = "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.",

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AU - Fu, Zhengqing

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Y1 - 2018/12/1

N2 - 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.

AB - 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.

KW - Difference equations boundary value problems

KW - Nontrivial solutions

KW - Sign-changing nonlinearity

KW - Topological degree theory

UR - https://www.scopus.com/pages/publications/85054611117

U2 - 10.1186/s13662-018-1840-3

DO - 10.1186/s13662-018-1840-3

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SN - 1687-1839

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JO - Advances in Difference Equations

JF - Advances in Difference Equations

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M1 - 370

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

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Keywords

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