Two positive solutions for second-order quasilinear differential equation boundary value problems with sign changing nonlinearities

被引：12

作者：

Guo, YP ^{[1
]}

Tian, JW

机构：

[1] Ocean Univ China, Marine Environm Coll, Qingdao 266003, Peoples R China

[2] Hebei Univ Sci & Technol, Coll Sci, Hebei 050018, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2004年 / 169卷 / 02期

基金：

中国国家自然科学基金;

关键词：

quasilinear differential equation; positive symmetric solution; fixed point theorem in cones;

D O I：

10.1016/j.cam.2003.12.029

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the second order quasilinear differential equation (Phi(y'))'+ q(t)f(t, y) = 0, 0 < t < 1 subject to Dirichlet boundary conditions and mixed boundary conditions is studied, where f is allowed to change sign, Phi(V) = \v\(p-2)v, p > 1. We show the existence of at least two positive solutions by using a new fixed point theorem in cones. (C) 2004 Elsevier B.V. All rights reserved.

引用

页码：345 / 357

页数：13

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