Title
Existence and monotone iteration of positive solutions for a three-point boundary value problem
Abstract
In this work, we obtain the existence of quasi-symmetric monotone positive solutions and establish a corresponding iterative scheme for the following three-point boundary value problem: u″(t)+f(t,u(t),u′(t))=0,0<t<1,αu(0)−βu′(0)=0,u′(η)+u′(1)=0. The main tool is the monotone iterative technique. The interesting point is that the nonlinear term involves the first-order derivative explicitly.
Year
DOI
Venue
2008
10.1016/j.aml.2007.07.019
Applied Mathematics Letters
Keywords
Field
DocType
Iteration,Monotone positive solution,Three-point boundary value problem,Completely continuous,Quasi-symmetric
Boundary value problem,Mathematical optimization,Nonlinear system,Mathematical analysis,Iterative method,Monotone polygon,Mathematics
Journal
Volume
Issue
ISSN
21
7
0893-9659
Citations 
PageRank 
References 
1
0.47
2
Authors
3
Name
Order
Citations
PageRank
Huihui Pang162.17
Meiqiang Feng2185.61
Weigao Ge315846.20