The existence of symmetric positive solutions for some nonlinear equation systems

被引：7

作者：

Ji, Dehong ^{[1
]}

Feng, Hanying ^{[1
,2
]}

Ge, Weigao ^{[1
]}

机构：

[1] Beijing Inst Technol, Dept Math, Beijing 100081, Peoples R China

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

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2008年 / 197卷 / 01期

基金：

中国国家自然科学基金;

关键词：

boundary value problems; equation systems; symmetric positive solutions; cone;

D O I：

10.1016/j.amc.2007.07.031

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the existence of symmetric positive solutions of the following boundary value problem: {(phi(p1)(u'))' + a(1)(t)f(u,v) = 0 < t < 1, (phi(p2)(u'))' + a(2)(t)f(u,v) = 0 < t < 1, {u(0) - alpha u' (xi) = 0, u(1) + alpha u'(eta) = 0, v(0) - alpha v' (xi) = 0, v(1) + alpha v'(eta) = 0, is studied, where phi(pi) (s) = vertical bar s vertical bar(pi-2) s, p(i) > 1. We show the sufficient conditions for the existence of symmetric positive solutions by using a fixed point index theorem in cones. (C) 2007 Published by Elsevier Inc.

引用

页码：51 / 59

页数：9

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