Title :
Existence and uniqueness results for three-point boundary value problems
Author :
Zhang Lingling ; Zhai Chengbo
Author_Institution :
Dept. of Math., Taiyuan Univ. of Technol., Taiyuan, China
Abstract :
In this paper, we study two kinds of three-point boundary value problems for second order differential equations by using a fixed point theorem of general α-concave operators, upper-lower solution method and monotone iterative technique. We present the criteria which guarantee the existence and uniqueness of positive solutions to these differential equations. In the end, we give two examples as applications to illustrate out results.
Keywords :
boundary-value problems; differential equations; iterative methods; fixed point theorem; general α-concave operator; monotone iterative technique; second order differential equation; three-point boundary value problem; upper-lower solution method; Boundary value problems; Differential equations; Electronic mail; Equations; Gold; Physics; Existence and uniqueness; Fixed point theorem of general α-concave operators; Positive solution; Three-point boundary value problem;
Conference_Titel :
Control Conference (CCC), 2011 30th Chinese
Conference_Location :
Yantai
Print_ISBN :
978-1-4577-0677-6
Electronic_ISBN :
1934-1768
