New existence theorems of positive solutions for Sturm-Liouville boundary value problems

被引：0

作者：

Ge, WG ^{[1
]}

Ren, JL ^{[1
]}

机构：

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

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2004年 / 148卷 / 03期

关键词：

boundary value problem; positive solution; operator; cone;

D O I：

10.1016/S0096-3003(03)00921-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By constructing available operators some new existence theorems of positive solutions are obtained for the Sturm-Liouville boundary value problem {(p(t)u'(t))' + lambdaa(t)f (t, u(t)) = 0, alpha(1)u(0) - beta(1)p(0)u'(0) = 0, alpha(2)u(1) + beta(2)p(1)u'(1) = 0}, where a(t) greater than or equal to 0 and lambda > 0 is a parameter. (C) 2003 Elsevier Inc. All rights reserved.

引用

页码：631 / 644

页数：14

共 4 条

[1] The existence of positive solutions for the Sturm-Liouville boundary value problems [J].

Agarwal, RP ;

Hong, HL ;

Yeh, CC .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1998, 35 (09) :89-96

[2] Existence results for superlinear semipositone BVP's [J].

Anuradha, V ;

Hai, DD ;

Shivaji, R .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1996, 124 (03) :757-763

[3] ON THE EXISTENCE OF POSITIVE SOLUTIONS OF ORDINARY DIFFERENTIAL-EQUATIONS [J].

ERBE, LH ;

WANG, HY .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1994, 120 (03) :743-748

[4]

Krasnoselskii M. A., 1964, Positive Solutions of Operator Equations

← 1 →