Existence and Uniqueness of Smooth Positive Solutions to a Class of Singular m-Point Boundary Value Problems

被引：5

作者：

Du, Xinsheng ^{[1
]}

Zhao, Zengqin ^{[1
]}

机构：

[1] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2009年

基金：

中国国家自然科学基金;

关键词：

SUFFICIENT CONDITION;

D O I：

10.1155/2009/191627

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper investigates the existence and uniqueness of smooth positive solutions to a class of singular m-point boundary value problems of second-order ordinary differential equations. A necessary and sufficient condition for the existence and uniqueness of smooth positive solutions is given by constructing lower and upper solutions and with the maximal theorem. Our nonlinearity f(t,u,v) may be singular at v, t = 0 and/or t = 1. Copyright (C) 2009 X. Du and Z. Zhao.

引用

页码：1 / 13

页数：13

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