Successive iteration and positive solutions for a second-order multi-point boundary value problem on a half-line

Authors:
Xingqiu Zhang
Affiliations:
School of Mathematics, Liaocheng University, Liaocheng, Shandong 252059, PR China
Venue:
Computers & Mathematics with Applications
Year:
2009

Citing 2
Cited 1

The upper and lower solution method for a class of singular nonlinear second order three-point boundary value problems

Journal of Computational and Applied Mathematics
Existence and iteration of monotone positive solutions for multipoint boundary value problem with p-Laplacian operator

Computers & Mathematics with Applications

Existence and iteration of positive solutions for multi-point boundary value problems on a half-line

Computers & Mathematics with Applications

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Abstract

This paper deals with the existence of positive solutions for some second-order multi-point boundary value problem on the half-line. Our approach is based on the fixed point theorem and the monotone iterative technique. Without the assumption of the existence of lower and upper solutions, we obtain not only the existence of positive solutions for the problems, but also establish iterative schemes for approximating the solutions.