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

被引：0
|
作者：
Yuji Liu
机构：
[1] Guangdong University of Business Studies,Department of Mathematics
来源：
Mediterranean Journal of Mathematics | 2011年 / 8卷
关键词：
Primary 47J25; 34B10; Secondary 34B15; 35B10; One-dimension ; -Laplacian difference equation; multi-point boundary value problem; positive solution; five functionals fixed point theorem;
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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 Δx(n) and Δx(n + 1). The difference concerned is a implicit difference equation.
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页码：577 / 602
页数：25
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