Boundary Value Problems for Fourth Order Nonlinearp-Laplacian Difference Equations-Reference-Cited by-同舟云学术

Boundary Value Problems for Fourth Order Nonlinearp-Laplacian Difference Equations

Published:2014 Issue: Volume:2014 Page:1-6
ISSN:1110-757X
Container-title:Journal of Applied Mathematics
language:en
Short-container-title:Journal of Applied Mathematics

Author:

Zhang Qinqin¹²

Affiliation:

1. School of Mathematics and Information Science, Guangzhou University, Guangzhou, Guangdong 510006, China

2. Key Laboratory of Mathematics and Interdisciplinary Sciences of Guangdong Higher Education Institutes, Guangzhou University, Guangzhou, Guangdong 510006, China

Abstract

We consider the boundary value problem for a fourth order nonlinearp-Laplacian difference equation containing both advance and retardation. By using Mountain pass lemma and some established inequalities, sufficient conditions of the existence of solutions of the boundary value problem are obtained. And an illustrative example is given in the last part of the paper.

Funder

Program for Changjiang Scholars and Innovative Research Team in University

Publisher

Hindawi Limited

Subject

Applied Mathematics

Link

http://downloads.hindawi.com/journals/jam/2014/343129.pdf

Reference22 articles.

1. Existence of multiple solutions for second-order discrete boundary value problems

2. Bifurcation of positive solutions of a nonlinear discrete fourth-order boundary value problem

3. Positive Solutions of a Singular Positone and Semipositone Boundary Value Problems for Fourth-Order Difference Equations

4. Existence of multiple solutions for a second-order difference equation with a parameter

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