Studies on Nonhomogeneous Multi-point BVPs of Difference Equations with One-Dimensional p-Laplacian

被引：1

作者：

Liu, Yuji ^{[1
]}

机构：

[1] Guangdong Univ Business Studies, Dept Math, Guangzhou 510000, Guangdong, Peoples R China

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2011年 / 8卷 / 04期

关键词：

One-dimension p-Laplacian difference equation; multi-point boundary value problem; positive solution; five functionals fixed point theorem; BOUNDARY-VALUE-PROBLEMS; POSITIVE SOLUTIONS; SYMMETRIC-SOLUTIONS; EXISTENCE THEOREMS;

D O I：

10.1007/s00009-010-0089-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article deals with a discrete type multi-point BVP of difference equations. The sufficient conditions to guarantee the existence of at least three positive solutions are established. An example is presented to illustrate the main results. It is the purpose of this paper to show that the approach to get positive solutions of BVPs by using multifixed-point theorems can be extended to treat nonhomogeneous BVPs. The emphasis is put on the nonlinear term f involved with the first order delta operators Delta x(n) and Delta x(n + 1). The difference concerned is a implicit difference equation.

引用

页码：577 / 602

页数：26

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