Positive solutions of four-point boundary value problem for fourth order ordinary differential equation

被引：3

作者：

Yu, Changchun ^{[1
]}

Chen, Shihua ^{[1
]}

Austin, Francis ^{[2
]}

Lu, Jinhu ^{[3
]}

机构：

[1] Wuhan Univ, Coll Math & Stat, Wuhan 430072, Peoples R China

[2] Hong Kong Polytech Univ, Dept Appl Math, Hong Kong, Hong Kong, Peoples R China

[3] Chinese Acad Sci, Inst Syst Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2010年 / 52卷 / 1-2期

关键词：

Four-point boundary value problem; Positive solutions; Fixed point;

D O I：

10.1016/j.mcm.2010.02.009

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper, the fourth order differential equation with four-point boundary value problem y((4))(t) - f(t, y(t)), y ''(t)) = 0, 0 <= t <= 1, y(0) = y(1) = 0, ay ''(xi(1)) - by'''(xi(1)) = 0, cy ''(xi(2)) + dy''' (xi(2)) = 0 is studied, where 0 <= xi(1) < xi(2) <= 1. Some sufficient conditions guaranteeing the existence of positive solution to the above four-point boundary value problem are obtained by using the Krasnosekii fixed point theorem. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：200 / 206

页数：7

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