MULTIPLE SYMMETRIC POSITIVE SOLUTIONS TO FOUR-POINT BOUNDARY-VALUE PROBLEMS OF DIFFERENTIAL SYSTEMS WITH P-LAPLACIAN

被引：0

作者：

Feng, Hanying ^{[1
]}

Bai, Donglong ^{[1
]}

Feng, Meiqiang ^{[2
]}

机构：

[1] Shijiazhuang Mech Engn Coll, Dept Math, Shijiazhuang 050003, Peoples R China

[2] Beijing Informat Sci & Technol Univ, Sch Appl Sci, Beijing 100092, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2012年

关键词：

Four-point boundary-value problem; differential system; fixed point theorem; symmetric positive solution; one-dimensional p-Laplacian; 2ND-ORDER SYSTEMS; EXISTENCE; SOLVABILITY;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we study the four-point boundary-value problem with the one-dimensional p-Laplacian (phi(pi)(u(i)'))' + q(i)(t)f(i)(t, u(1), u(2)) = 0, t is an element of (0, 1), i = 1, 2; u(i)(0) - g(i)(u(i)'(xi)) = 0, u(i)(1) + g(i)(u(i)'(eta)) = 0, i = 1, 2. We obtain sufficient conditions such that by means of a fixed point theorem on a cone, there exist multiple symmetric positive solutions to the above boundary-value problem. As an application, we give an example that we illustrates our results.

引用

页数：11

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