Juan Galvis, Edixon M. Rojas, Alexander V. Sinitsyn
Abstract:
In this article we prove the existence of at least one positive solution
for a three-point integral boundary-value problem for a second-order
nonlinear differential equation. The existence result is obtained by using
Schauder's fixed point theorem. Therefore, we do not need local assumptions
such as superlinearity or sublinearity of the involved nonlinear functions.
Submitted May 13, 2015. Published September 15, 2015.
Math Subject Classifications: 34B15, 34B10, 47H10, 47H30.
Key Words: Nonlinear boundary value problem; integral boundary conditions;
Schauder's fixed point theorem.
An addendum was posted on November 4, 2015. It adds a necessary condition to Theorem 3.2, which makes the results in this article a particular case of the resutls in refence [7]. See the last page of this article.
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Juan Galvis Departamento de Matemáticas Universidad Nacional de Colombia Bogotá, Colombia email: jcgalvisa@unal.edu.co |
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Edixon M. Rojas Departamento de Matemáticas Universidad Nacional de Colombia Bogotá, Colombia email: emrojass@unal.edu.co |
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Alexander V. Sinitsyn Departamento de Matemáticas Universidad Nacional de Colombia Bogotá, Colombia email: avsinitsyn@yahoo.com |
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