Existence and Nonexistence of Solutions for Fourth-Order Nonlinear Difference Boundary Value Problems via Variational Methods-Reference-Cited by-同舟云学术

Existence and Nonexistence of Solutions for Fourth-Order Nonlinear Difference Boundary Value Problems via Variational Methods

Published:2018-09-16 Issue: Volume:2018 Page:1-9
ISSN:1026-0226
Container-title:Discrete Dynamics in Nature and Society
language:en
Short-container-title:Discrete Dynamics in Nature and Society

Author:

Liu Xia¹²^ORCID,Zhou Tao³,Shi Haiping⁴⁵

Affiliation:

1. College of Continuing Education and Open College, Guangdong University of Foreign Studies, Guangzhou 510420, China

2. Science College, Hunan Agricultural University, Changsha 410128, China

3. School of Economics and Management, South China Normal University, Guangzhou 510006, China

4. Modern Business and Management Department, Guangdong Construction Polytechnic, Guangzhou 510440, China

5. School of Mathematics and Statistics, Central South University, Changsha 410083, China

Abstract

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 ofndistinct pairs of nontrivial solutions, and nonexistence of solutions. Some examples are provided to show the effectiveness of the main results.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Modelling and Simulation

Link

http://downloads.hindawi.com/journals/ddns/2018/6703503.pdf

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