Positive solutions of four-point boundary value problem for fourth order ordinary differential equation | |
Yu, Changchun1; Chen, Shihua1; Austin, Francis2; Lu, Jinhu3 | |
刊名 | MATHEMATICAL AND COMPUTER MODELLING
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2010-07-01 | |
卷号 | 52期号:1-2页码:200-206 |
关键词 | Four-point boundary value problem Positive solutions Fixed point |
ISSN号 | 0895-7177 |
DOI | 10.1016/j.mcm.2010.02.009 |
英文摘要 | 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. |
资助项目 | National Nature Science Foundation of China[70571059] |
WOS研究方向 | Computer Science ; Mathematics |
语种 | 英语 |
出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
WOS记录号 | WOS:000277653000018 |
内容类型 | 期刊论文 |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/10430] ![]() |
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. |
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