Solvability for a nonlinear second-order three-point boundary value problem

被引：46

作者：

Sun, YP ^{[1
]}

Liu, LS

机构：

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

[2] Hangzhou Radio & Televis Univ, Dept Fundamental Courses, Hangzhou 310012, Zhejiang, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2004年 / 296卷 / 01期

关键词：

second-order nonlinear ordinary differential equation; three-point boundary value problem; Leray-Schauder nonlinear alternative;

D O I：

10.1016/j.jmaa.2004.04.013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper investigates the existence of nontrivial solution for the three-point boundary value problem u" + f(t, u) = 0, 0 < t < 1, u'(0) = 0, u(1) =alphau(eta), where N is an element of (0, 1), alpha is an element of R, alpha not equal 1, f is an element of C ([0, 1] x R, R). Under certain growth conditions on the nonlinearity f, several sufficient conditions for the existence of nontrivial solution are obtained by using Leray-Schauder nonlinear alternative. As an application, some examples to demonstrate our results are given. (C) 2004 Elsevier Inc. All rights reserved.

引用

页码：265 / 275

页数：11

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