Title
Positive solutions for a singular second-order three-point boundary value problem
Abstract
This paper presents the existence of positive solutions for the singular three-point boundary value problemu″(t)+a(t)u′(t)+b(t)u(t)+h(t)f(t,u)=0,0<t<1,u(0)=0,u(1)=αu(η),where h(t) is allowed to be singular at t=0,1 and f may be singular at u=0. The existence criteria for positive solutions of the above problem is established by applying the fixed point index theorem under some weaker conditions concerning the first eigenvalue corresponding to the relevant linear operator.
Year
DOI
Venue
2008
10.1016/j.amc.2007.06.013
Applied Mathematics and Computation
Keywords
DocType
Volume
Three-point boundary value problem,Positive solution,Singular second-order BVP,First eigenvalue,Fixed point index
Journal
196
Issue
ISSN
Citations 
2
0096-3003
5
PageRank 
References 
Authors
0.91
2
3
Name
Order
Citations
PageRank
Bingmei Liu1113.11
Lishan Liu218835.41
Yonghong Wu321234.70