Existence and Multiplicity of Solutions of Second-Order Difference Boundary Value Problems

被引：5

作者：

Zheng, Bo ^{[1
]}

Zhang, Qinqin ^{[1
]}

机构：

[1] Guangzhou Univ, Coll Math & Informat Sci, Guangzhou 510006, Guangdong, Peoples R China

来源：

ACTA APPLICANDAE MATHEMATICAE | 2010年 / 110卷 / 01期

基金：

高等学校博士学科点专项科研基金;

关键词：

Second-order difference boundary value problems; Existence and multiplicity; Three-critical-point theorem; Isolated zero point; PERIODIC-SOLUTIONS; SUBHARMONIC SOLUTIONS; POSITIVE SOLUTIONS; EQUATIONS; SYSTEMS;

D O I：

10.1007/s10440-008-9389-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper concerns the existence and multiplicity of solutions of second-order difference boundary value problems. Under the assumptions which guarantee the existence of at least one nontrivial solution of the homogeneous problem, we obtain the existence of exactly three solutions of the nonhomogeneous problem with some other suitable conditions.

引用

页码：131 / 152

页数：22

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