Positive solutions of four-point boundary value problem for fourth order ordinary differential equation
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- 作者：Changchun Yu ; Shihua Chen ; Francis Austin ; Jinhu Lü
- 关键词：Four-point boundary value problem ; Positive solutions ; Fixed point
- 刊名：Mathematical and Computer Modelling
- 出版年：2010
- 出版时间：July 2010
- 年：2010
- 卷：52
- 期：1-2
- 页码：200-206
- 全文大小：294 K
文摘
In this paper, the fourth order differential equation with four-point boundary value problem y(0)=y(1)=0, is studied, where 0≤ξ1<ξ2≤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.