MONOTONE POSITIVE SOLUTION OF THIRD-ORDER BOUNDARY VALUE PROBLEM WITH INTEGRAL BOUNDARY CONDITIONS

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	MONOTONE POSITIVE SOLUTION OF THIRD-ORDER BOUNDARY VALUE PROBLEM WITH INTEGRAL BOUNDARY CONDITIONS
	Sun, Jian-Ping; Chen, Ya-Zhuo; Zhang, Xiao-Li
刊名	DYNAMIC SYSTEMS AND APPLICATIONS
	2014
卷号	23 期号:2-3 页码:163-177
ISSN号	1056-2176
英文摘要	This paper is concerned with the following third-order boundary value problem with integral boundary conditions {u'''(t) + f(t, u(t), u'(t)) = 0, t is an element of [0, 1], u(0) = 0, u'(0) = integral(1)(0) g(1)(t)u'(t)dt, u'(1) = integral(1)(0) g(2)(t)u'(t)dt, where f is an element of C([0,1] x [0, +infinity) x [0, +infinity), [0, +infinity)) and g(i) is an element of C([0, 1], [0, +infinity)), i = 1, 2. The existence of monotone positive solution to the above problem is obtained when f is superlinear or sublinear. The main tool used is the Guo-Krasnoselskii fixed point theorem.
WOS研究方向	Mathematics
语种	英语
出版者	DYNAMIC PUBLISHERS, INC
WOS记录号	WOS:000342652100005
内容类型	期刊论文
源URL	[http://ir.lut.edu.cn/handle/2XXMBERH/155515]
专题	兰州理工大学
作者单位	Lanzhou Univ Technol, Dept Appl Math, Lanzhou 730050, Gansu, Peoples R China
推荐引用方式 GB/T 7714	Sun, Jian-Ping,Chen, Ya-Zhuo,Zhang, Xiao-Li. MONOTONE POSITIVE SOLUTION OF THIRD-ORDER BOUNDARY VALUE PROBLEM WITH INTEGRAL BOUNDARY CONDITIONS[J]. DYNAMIC SYSTEMS AND APPLICATIONS,2014,23(2-3):163-177.
APA	Sun, Jian-Ping,Chen, Ya-Zhuo,&Zhang, Xiao-Li.(2014).MONOTONE POSITIVE SOLUTION OF THIRD-ORDER BOUNDARY VALUE PROBLEM WITH INTEGRAL BOUNDARY CONDITIONS.DYNAMIC SYSTEMS AND APPLICATIONS,23(2-3),163-177.
MLA	Sun, Jian-Ping,et al."MONOTONE POSITIVE SOLUTION OF THIRD-ORDER BOUNDARY VALUE PROBLEM WITH INTEGRAL BOUNDARY CONDITIONS".DYNAMIC SYSTEMS AND APPLICATIONS 23.2-3(2014):163-177.