Upper and lower solution method for fourth-order four-point boundary value problems

doi:10.1016/j.cam.2005.09.007

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	Upper and lower solution method for fourth-order four-point boundary value problems
	Zhang, Qin ; Chen, Shihua ; Lu, Jinhu
	2006-11-15
发表期刊	JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
ISSN	0377-0427
卷号	196 期号:2 页码:387-393
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.
关键词	lower and upper solution method fourth-order ordinary differential equation four-point boundary conditions
DOI	10.1016/j.cam.2005.09.007
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000239746800004
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/3522
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.