Positive solutions of singular dirichlet boundary value problems with sign-changing nonlinearities

被引：5

作者：

Yang, G. C. ^{[1
]}

机构：

[1] Chengdu Univ Informat Technol, Dept Computat Sci, Chengdu 610225, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2006年 / 51卷 / 9-10期

关键词：

BVPs; singularities; sign-changing nonlinearities; fixed points; positive solutions;

D O I：

10.1016/j.camwa.2006.01.006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By a new approach, we present a new existence result of positive solutions to the following Dirichlet boundary value problem, x"(t) + f(t, x(t)) = 0, 0 < t < 1, x(0) = 0 = x(1). It is remarkable that the result of this paper is not obtained by employing the fixed-point theorems in cone and the method of the lower and upper functions. Our nonlinearity may change sign and be singular at t = 0, 1, x = 0. (c) 2006 Elsevier Ltd. All rights reserved.

引用

页码：1463 / 1470

页数：8

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