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二阶差分方程边值问题解的存在性
引用本文:张福伟,刘进生.二阶差分方程边值问题解的存在性[J].太原理工大学学报,2011,42(4):447-450.
作者姓名:张福伟  刘进生
作者单位:太原理工大学理学院,太原,030024
摘    要:利用变分方法与临界点理论,研究了一类非线性二阶差分方程两点边值问题解的存在性,得到了若干关于该问题解的存在性的新的充分性条件。该讨论丰富了此类研究的结果。

关 键 词:差分方程  边值问题  临界点

Existence of Solutions for Boundary Value Problems of Second-order Difference Equations
ZHANG Fu-wei,LIU Jin-sheng.Existence of Solutions for Boundary Value Problems of Second-order Difference Equations[J].Journal of Taiyuan University of Technology,2011,42(4):447-450.
Authors:ZHANG Fu-wei  LIU Jin-sheng
Institution:ZHANG Fu-wei,LIU Jin-sheng(College of Sciences of TUT,Taiyuan 030024,China)
Abstract:In this paper,we employed the critical point theory to deal with the existence of solutions for some two-point boundary value problems of second-order nonlinear difference equations and obtain several novel sufficient conditions for the existence of the solution for involved problem.Through our investigation,the research results of this kind were enriched.
Keywords:difference equations  boundary value problems  critical point  
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