Positive solutions of nonlinear singular boundary value problems in abstract spaces

被引：9

作者：

Cui, Yujun ^{[1
]}

Zou, Yumei ^{[1
]}

机构：

[1] Shandong Univ Sci & Technol, Dept Math, Qingdao 266510, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2008年 / 69卷 / 01期

基金：

中国国家自然科学基金;

关键词：

singular equation; fixed points; positive solution;

D O I：

10.1016/j.na.2007.05.015

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By Constructing a particular closed convex set and applying the Monch fixed-point theorem, We study the existence of positive Solutions of the singular boundary value problem x" (t) + f (t, x(t)) = theta, t is an element of(0, 1). x(0) = x(1) = theta, in Banach space, singularities occurring at t = 0, 1, and x = theta. Our method is completely distinct from what the former literature used, even if we discuss the above problem in scalar space. (C) 2008 Published by Elsevier Ltd.

引用

页码：287 / 294

页数：8

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