文章基本信息

标题：Existence and uniqueness of positive solutions to boundary value problem with increasing homeomorphism and positive homomorphism operator
本地全文：下载
作者：Fenghua Miao ; Chenxing Zhou ; Yueqiang Song 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2014
卷号：2014
期号：1
页码：20
DOI：10.1186/1687-1847-2014-20
语种：English
出版社：Hindawi Publishing Corporation
摘要：In this paper, we consider the following nonlinear boundary value problem: ( φ ( u ′ ( t ) ) ) ′ + a ( t ) f ( u ( t ) ) = 0 , 0 < t < 1 , u ( 0 ) = ∑ i = 1 m − 2 α i u ( ξ i ) , u ′ ( 1 ) = 0 , where φ : R ⟶ R is an increasing homeomorphism and positive homomorphism with φ ( 0 ) = 0 . By using a fixed-point theorem on partially ordered sets, we obtain sufficient conditions for the existence and uniqueness of positive and nondecreasing solutions to the above boundary value problem. MSC:34B18, 34B27.
关键词：partially ordered sets ; fixed-point theorem ; positive solution