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

	MONOTONE POSITIVE SOLUTION OF THIRD-ORDER BOUNDARY VALUE PROBLEM WITH INTEGRAL BOUNDARY CONDITIONS
	Sun, Jian-Ping; Chen, Ya-Zhuo; Zhang, Xiao-Li
	2014
发表期刊	DYNAMIC SYSTEMS AND APPLICATIONS
ISSN	1056-2176
卷号	23 期号:2-3 页码:163-177
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.
收录类别	SCIE
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000342652100005
出版者	DYNAMIC PUBLISHERS, INC
引用统计	被引频次[WOS]：0 [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	https://ir.lut.edu.cn/handle/2XXMBERH/155515
专题	兰州理工大学
通讯作者	Sun, Jian-Ping
作者单位	Lanzhou Univ Technol, Dept Appl Math, Lanzhou 730050, Gansu, Peoples R China
第一作者单位	材料科学与工程学院
通讯作者单位	材料科学与工程学院
第一作者的第一单位	材料科学与工程学院
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.