Title
Positive solutions to a new kind Sturm–Liouville-like four-point boundary value problem
Abstract
In this paper, we considered the following four-point boundary value problemx″(t)+h(t)f(t,x(t),x′(t))=0,0<t<1,x′(0)−α1x(ξ)=0,x′(1)+α2x(η)=0,where 0<α1<1ξ,0<α2<11−η,0<ξ<η<1,α1α2η−α1α2ξ+α1+α2>0. By applying fixed-point theorems, we obtain a variety of existence results. In particular, our four-point boundary condition is a new kind Sturm–Liouville-like boundary condition, which has rarely been considered up to now.
Year
DOI
Venue
2010
10.1016/j.amc.2010.06.020
Applied Mathematics and Computation
Keywords
DocType
Volume
Sturm–Liouville like,Four-point,Boundary value problem,Positive solutions,Fixed point
Journal
217
Issue
ISSN
Citations 
2
0096-3003
0
PageRank 
References 
Authors
0.34
4
4
Name
Order
Citations
PageRank
Junfang Zhao131.91
Fengjie Geng283.67
Jianfeng Zhao3202.27
Weigao Ge415846.20