POSITIVE SOLUTIONS OF A NONLINEAR THREE-POINT EIGENVALUE PROBLEM WITH INTEGRAL BOUNDARY CONDITIONS

In this paper, we study the existence of positive solutions of a three-point integral boundary value problem (BVP) for the following second-order differential equation u''(t) + \lambda a(t)f(u(t)) = 0; 0 < t < 1; u'(0) = 0; u(1) = \alpha\int\limits_0^{\eta}{u(s)ds}, where \lambd...

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Published in:Romanian journal of mathematics and computer science 2015-11, Vol.5 (2), p.202-213
Main Authors: FAOUZI HADDOUCHI, SLIMANE BENAICHA
Format: Article
Language:English
Subjects:
Cone
Eigenvalue
Krasnoleskii's fixed point theorem
Positive solutions
Three-point integral boundary value problems
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description In this paper, we study the existence of positive solutions of a three-point integral boundary value problem (BVP) for the following second-order differential equation u''(t) + \lambda a(t)f(u(t)) = 0; 0 < t < 1; u'(0) = 0; u(1) = \alpha\int\limits_0^{\eta}{u(s)ds}, where \lambda > 0 is a parameter, 0
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subjects Cone
Eigenvalue
Krasnoleskii's fixed point theorem
Positive solutions
Three-point integral boundary value problems
title POSITIVE SOLUTIONS OF A NONLINEAR THREE-POINT EIGENVALUE PROBLEM WITH INTEGRAL BOUNDARY CONDITIONS
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