POSITIVE SOLUTIONS TO A SECOND ORDER MULTI-POINT BOUNDARY-VALUE PROBLEM

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	POSITIVE SOLUTIONS TO A SECOND ORDER MULTI-POINT BOUNDARY-VALUE PROBLEM
	Cao, Daomin1 ; Ma, Ruyun 2
	2000-10-30
发表期刊	ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN	1072-6691
页码	8
摘要	We prove the existence of positive solutions to the boundary-value problem u '' + gimel alpha(t)f(u, u') = 0 u(0) = 0, u(1) = Sigma(m-2)(i=1) alpha(i)u(xi i), where a is a continuous function that may change sign on [0, 1], f is a continuous function with f(0, 0) > 0, and gimel is a samll positive constant. For finding solutions we use the Leray-Schauder fixed point theorem.
关键词	Multi-point boundary value problem positive solution fixed point theorem
语种	英语
资助项目	Natural Science Foundation of China[19801028]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000208503800001
出版者	TEXAS STATE UNIV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/15272
专题	应用数学研究所
通讯作者	Cao, Daomin
作者单位	1.Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China 2.NW Normal Univ, Dept Math, Lanzhou 730070, Gansu, Peoples R China
推荐引用方式 GB/T 7714	Cao, Daomin,Ma, Ruyun. POSITIVE SOLUTIONS TO A SECOND ORDER MULTI-POINT BOUNDARY-VALUE PROBLEM[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS,2000:8.
APA	Cao, Daomin,&Ma, Ruyun.(2000).POSITIVE SOLUTIONS TO A SECOND ORDER MULTI-POINT BOUNDARY-VALUE PROBLEM.ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS,8.
MLA	Cao, Daomin,et al."POSITIVE SOLUTIONS TO A SECOND ORDER MULTI-POINT BOUNDARY-VALUE PROBLEM".ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS (2000):8.