Existence of positive solutions for a three-point integral boundary-value problem

In this paper, by using the Krasnosel'skii's fixed-point theorem, we study the existence of at least one or two positive solutions to the three-point integral boundary value problem {equation*} \label{eq-1} {gathered} {u^{\prime \prime}}(t)+a(t)f(u(t))=0,\ 0

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Bibliographic Details
Published in:arXiv.org 2014-08
Main Authors: Haddouchi, Faouzi, Benaicha, Slimane
Format: Article
Language:English
Subjects:
Boundary value problems
Existence theorems
Fixed points (mathematics)
Integrals
Online Access:Get full text
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Summary:In this paper, by using the Krasnosel'skii's fixed-point theorem, we study the existence of at least one or two positive solutions to the three-point integral boundary value problem {equation*} \label{eq-1} {gathered} {u^{\prime \prime}}(t)+a(t)f(u(t))=0,\ 0
ISSN:2331-8422