Multiple Solutions for A Class of SecondOrder Nonlinear Difference Boundary Value Problems

LIAN Fuyun; 

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Multiple Solutions for A Class of SecondOrder Nonlinear Difference Boundary Value Problems

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- Multiple Solutions for A Class of SecondOrder Nonlinear Difference Boundary Value Problems
- Acta Scientiarum Naturalium Universitatis SunYatseni Vol. 49, Issue 5, Pages: 30-33(2010)
- 作者机构：
  
  1. 中国海洋大学数学系,山东,青岛,266100
  2. 
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2010，
  
  Published Online：25 September 2010，
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LIAN Fuyun, . Multiple Solutions for A Class of SecondOrder Nonlinear Difference Boundary Value Problems. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 49(5):30-33(2010)
DOI：

LIAN Fuyun, . Multiple Solutions for A Class of SecondOrder Nonlinear Difference Boundary Value Problems. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 49(5):30-33(2010) DOI：

摘要

非线性差分方程已经广泛应用于研究计算机科学、经济学、神经网络、生态学及控制论等学科中出现的离散模型。研究非线性差分方程边值问题解的存在性的方法主要有上下解方法，不动点定理，拓扑度理论等。值得注意的是，近几年来已有许多作者用临界点理论研究非线性差分方程边值问题解的存在性，这是很有力的工具。利用临界点理论研究一类二阶非线性差分方程边值问题多重解的存在性，提出一个新的判别方法。

Abstract

Nonlinear difference equations have been widely studied in many fields such as computer science

economics

neural network

ecology

cybernetics

etc. Nonlinear difference boundary value problems have been studied by many various methods

such as the upper and lower solution method

fixed point theorems

and topological degree theory. Also

in recent years

the critical point theory has played an important role in dealing with the existence and multiple results for nonlinear difference boundary value problems. By using critical point theory

the existence of multiple solutions for a class of secondorder nonlinear difference boundary value problems is studied and a new sufficient condition is obtained

关键词

差分方程边值问题临界点多重解

Keywords

difference equationboundary value problemcritical pointmultiple solutions

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Related Author

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FU Minghui

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武利猛

杨

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陆海波

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Related Institution

Department of Applied Mechanics and Engineering, Sun Yatsen University

Department of Mathematics, East China Normal University

College of Science, Yanshan University

School of Mathematics and Computational Science, Sun Yatsen University, Guangzhou

School of Physics and Engineering, Sun Yatsen University

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