Three positive solutions of boundary value problems for p-Laplacian difference equations

被引：43

作者：

Wang, Da-Bin ^{[1
]}

Guan, Wen ^{[1
]}

机构：

[1] Lanzhou Univ Technol, Dept Appl Math, Lanzhou 730050, Gansu, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2008年 / 55卷 / 09期

关键词：

boundary value problem; positive solution; fixed point theorem; difference equation; cone;

D O I：

10.1016/j.camwa.2007.08.033

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, existence criteria for three positive solutions of p-Laplacian difference equation Delta [Phi(p)(Delta u(t - 1))] + a(t) f (u(t)) = 0, t is an element of [ 1, T + 1], Delta u(0) = u(T + 2) = 0, or u(0) = Delta u(T + 1) = 0, are established by using the Five Functionals Fixed Point Theorem. As an application, one example is given to illustrate the main result in this paper. (C) 2007 Elsevier Ltd. All rights reserved.

引用

页码：1943 / 1949

页数：7

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