On discrete fourth-order boundary value problems with three parameters

被引：31

作者：

He, Tieshan ^{[1
]}

Su, Yueliang ^{[2
]}

机构：

[1] Zhongkai Univ Agr & Engn, Dept Comp Sci, Guangzhou 510225, Guangdong, Peoples R China

[2] S China Univ Technol, Sch Business Adm, Guangzhou 510640, Guangdong, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2010年 / 233卷 / 10期

关键词：

Discrete fourth-order boundary value problems; Green's function; Critical point theory; Strongly monotone operator principle; POSITIVE SOLUTIONS; DIFFERENCE-EQUATIONS; CRITICAL-POINTS; EXISTENCE; MULTIPLICITY;

D O I：

10.1016/j.cam.2009.10.032

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the existence, multiplicity, and nonexistence results of nontrivial solutions are obtained for discrete nonlinear fourth-order boundary value problems with three parameters. The methods used here are based on the critical point theory and monotone operator theory. (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：2506 / 2520

页数：15

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