Upper and lower solution method for fourth-order four-point boundary value problems | |
Zhang, Qin; Chen, Shihua; Lu, Jinhu | |
刊名 | JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
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2006-11-15 | |
卷号 | 196期号:2页码:387-393 |
关键词 | lower and upper solution method fourth-order ordinary differential equation four-point boundary conditions |
ISSN号 | 0377-0427 |
DOI | 10.1016/j.cam.2005.09.007 |
英文摘要 | This paper is concerned with the fourth-order ordinary differential equation [GRAPHICS] with the four-point boundary conditions [GRAPHICS] where xi(i) is an element of[0, 1] (i = 1, 2) and a, b, c, d are nonnegative constants satisfying ad + bc + ac(xi(2) - xi(1)) > 0. Some new existence results are obtained by developing the upper and lower solution method and the monotone iterative technique. (c) 2005 Elsevier B.V. All rights reserved. |
WOS研究方向 | Mathematics |
语种 | 英语 |
出版者 | ELSEVIER SCIENCE BV |
WOS记录号 | WOS:000239746800004 |
内容类型 | 期刊论文 |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/3521] ![]() |
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, Sch Math & Stat, Wuhan 430072, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Key Lab Syst & Control, Beijing 100080, Peoples R China |
推荐引用方式 GB/T 7714 | Zhang, Qin,Chen, Shihua,Lu, Jinhu. Upper and lower solution method for fourth-order four-point boundary value problems[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,2006,196(2):387-393. |
APA | Zhang, Qin,Chen, Shihua,&Lu, Jinhu.(2006).Upper and lower solution method for fourth-order four-point boundary value problems.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,196(2),387-393. |
MLA | Zhang, Qin,et al."Upper and lower solution method for fourth-order four-point boundary value problems".JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 196.2(2006):387-393. |
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