Existence of Positive Solutions for Singular One-Dimensional P-Laplace BVP of the Second-Order Difference Systems

被引：0

作者：

Weimin HU ^{[1
]}

Guli Bahaer ^{[1
]}

Daqing JIANG ^{[2
]}

机构：

[1] School of Mathematics and Statistics,Ili Normal University

[2] School of Mathematics and Statistics,Northeast Normal University

来源：

Journal of Mathematical Research with Applications | 2013年 / 02期

基金：

中国国家自然科学基金;

关键词：

multiple solutions; singular; existence; discrete boundary value problem;

D O I：

暂无

中图分类号：

O175.7 [差分微分方程];

学科分类号：

070104 ;

摘要：

In this paper we establish the existence of single and multiple positive solutions to the following singular discrete boundary value problem [φ(x(i 1))] + q1(i)f1(i,x(i),y(i)) = 0,i ∈ {1,2,...,T } [φ(y(i 1))] + q2(i)f2(i,x(i),y(i)) = 0,x(0) = x(T + 1) = y(0) = y(T + 1) = 0,(1.1)where φ(s) = |s|p 2s,p > 1 and the nonlinear terms fk(i,x,y)(k = 1,2) may be singular at(x,y) =(0,0).

引用

页码：189 / 203

页数：15

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