Existence and iteration of monotone positive solutions for third-order nonlocal BVPs involving integral conditions

	Existence and iteration of monotone positive solutions for third-order nonlocal BVPs involving integral conditions
	Zhang, Hai-E 1; Sun, Jian-Ping 2
刊名	ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS
	2012
期号	18 页码:1-9
关键词	Monotone iterative method Positive solutions Nonlocal Integral conditions
ISSN号	1417-3875
英文摘要	This paper is concerned with the existence of monotone positive solution for the following third-order nonlocal boundary value problem u''' (t)+ f (t, u (t), u' (t)) = 0, 0 < t < 1; u (0) = 0, au' (0) - bu '' (0) = alpha[u], cu' (1) + du '' (1) = beta[u], where f is an element of C ([0, 1] x R+ x R+, R+), alpha[u] - integral(1)(0) u(t)dA(t) and beta[u] - integral(1)(0) u(t)dB(t) are linear functionals on C[0, 1] given by Riemann-Stieltjes integrals. By applying monotone iterative techniques, we not only obtain the existence of monotone positive solution but also establish an iterative scheme for approximating the solution. An example is also included to illustrate the main results.
资助项目	National Natural Science Foundation of China[10801068]
WOS研究方向	Mathematics
语种	英语
出版者	UNIV SZEGED, BOLYAI INSTITUTE
WOS记录号	WOS:000301110500001
状态	已发表
内容类型	期刊论文
源URL	[http://119.78.100.223/handle/2XXMBERH/34984]
专题	材料科学与工程学院兰州理工大学
通讯作者	Zhang, Hai-E
作者单位	1.Tangshan Coll, Dept Basic Sci, Tangshan 063000, Hebei, Peoples R China 2.Lanzhou Univ Technol, Dept Appl Math, Lanzhou 730050, Gansu, Peoples R China
推荐引用方式 GB/T 7714	Zhang, Hai-E,Sun, Jian-Ping. Existence and iteration of monotone positive solutions for third-order nonlocal BVPs involving integral conditions[J]. ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS,2012(18):1-9.
APA	Zhang, Hai-E,&Sun, Jian-Ping.(2012).Existence and iteration of monotone positive solutions for third-order nonlocal BVPs involving integral conditions.ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS(18),1-9.
MLA	Zhang, Hai-E,et al."Existence and iteration of monotone positive solutions for third-order nonlocal BVPs involving integral conditions".ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS .18(2012):1-9.