Positive solutions of a nonlinear three-point boundary value problem

被引：92

作者：

Liu, B ^{[1
]}

机构：

[1] Huazhong Univ Sci & Technol, Dept Math, Wuhan 430074, Peoples R China

[2] Hubei Normal Univ, Dept Math, Huangshi 435002, Hubei, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2002年 / 132卷 / 01期

关键词：

positive solutions; Krasnoselskii's fixed point theorem; cone;

D O I：

10.1016/S0096-3003(02)00341-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, by using Krasnoselskii's fixed point theorem in a cone, we study the existence of single and multiple positive solutions to the three-point boundary value problem (BVP) y" (t) + a (t)f (y(t)) = 0, 0 < t < 1, y'(0) = 0, y(1) = betay(eta), where 0 < eta < 1, 0 < beta < 1. As an application, we also give some examples to demonstrate our results. (C) 2002 Published by Elsevier Science Inc.

引用

页码：11 / 28

页数：18

共 12 条

[1]

[Anonymous], ELECT J DIFF EQNS

[2] Solvability of three point boundary value problems at resonance [J].

Feng, W ;

Webb, JRL .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1997, 30 (06) :3227-3238

[3] Solvability of m-point boundary value problems with nonlinear growth [J].

Feng, W ;

Webb, JRL .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1997, 212 (02) :467-480

[4] A sharper condition for the solvability of a three-point second order boundary value problem [J].

Gupta, CP ;

Trofimchuk, SI .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1997, 205 (02) :586-597

[5] SOLVABILITY OF A 3-POINT NONLINEAR BOUNDARY-VALUE PROBLEM FOR A 2ND-ORDER ORDINARY DIFFERENTIAL-EQUATION [J].

GUPTA, CP .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1992, 168 (02) :540-551

[6]

ILIN VA, 1987, DIFF EQUAT+, V23, P803

[7]

ILIN VA, 1987, DIFF EQUAT+, V23, P979

[8]

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

[9] Positive solutions of a nonlinear three-point boundary value problem [J].

Liu, B .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2002, 44 (1-2) :201-211

[10] Existence theorems for a second order three-point boundary value problem [J].

Ma, RY .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1997, 212 (02) :430-442

← 1 2 →