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

doi:10.1016/j.mcm.2010.02.009

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	Positive solutions of four-point boundary value problem for fourth order ordinary differential equation
	Yu, Changchun 1; Chen, Shihua 1; Austin, Francis 2; Lu, Jinhu 3
	2010-07-01
发表期刊	MATHEMATICAL AND COMPUTER MODELLING
ISSN	0895-7177
卷号	52 期号:1-2 页码:200-206
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.
关键词	Four-point boundary value problem Positive solutions Fixed point
DOI	10.1016/j.mcm.2010.02.009
语种	英语
资助项目	National Nature Science Foundation of China[70571059]
WOS研究方向	Computer Science ; Mathematics
WOS类目	Computer Science, Interdisciplinary Applications ; Computer Science, Software Engineering ; Mathematics, Applied
WOS记录号	WOS:000277653000018
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/10431
专题	中国科学院数学与系统科学研究院
通讯作者	Chen, Shihua
作者单位	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
推荐引用方式 GB/T 7714	Yu, Changchun,Chen, Shihua,Austin, Francis,et al. Positive solutions of four-point boundary value problem for fourth order ordinary differential equation[J]. MATHEMATICAL AND COMPUTER MODELLING,2010,52(1-2):200-206.
APA	Yu, Changchun,Chen, Shihua,Austin, Francis,&Lu, Jinhu.(2010).Positive solutions of four-point boundary value problem for fourth order ordinary differential equation.MATHEMATICAL AND COMPUTER MODELLING,52(1-2),200-206.
MLA	Yu, Changchun,et al."Positive solutions of four-point boundary value problem for fourth order ordinary differential equation".MATHEMATICAL AND COMPUTER MODELLING 52.1-2(2010):200-206.