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Solvability and positive solution of a system of second-order boundary value problem with integral boundary conditions
Journal article   Open access  Peer reviewed

Solvability and positive solution of a system of second-order boundary value problem with integral boundary conditions

Rochdi Jebari and Abderrahman Boukricha
Boundary value problems, Vol.2014(1), pp.1-13
16/12/2014
DOI: https://doi.org/10.1186/s13661-014-0262-8

Abstract

Analysis Approximations and Expansions Difference and Functional Equations general Mathematics Mathematics and Statistics Ordinary Differential Equations Partial Differential Equations
The main purpose of this paper is to establish the existence, uniqueness and positive solution of a system of second-order boundary value problem with integral conditions. Using Banach’s fixed point theorem and the Leray-Schauder nonlinear alternative, we discuss the existence and uniqueness solution of this problem, and we apply Guo-Krasnoselskii’s fixed point theorem in cone to study the existence of positive solution. We also give some examples to illustrate our results.
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https://doi.org/10.1186/s13661-014-0262-8View
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