Some existence results on positive solutions for an iterative second-order boundary-value problem with integral boundary conditions

Safa Chouaf; Rabah Khemis; Ahlème Bouakkaz

doi:10.5269/bspm.52461

Safa Chouaf 20 August 1955 University of Skikda
Rabah Khemis 20 August 1955 University of Skikda
Ahlème Bouakkaz 20 August 1955 University of Skikda

Abstract

The present paper is devoted to study a nonlinear second order differential equation with iterative source term and integral boundary conditions. The utilization of some suitable fixed point theorems ultimately led us to establish some sufficient conditions that guarantee the existence, uniqueness and continuous dependence of positive bounded solutions. The obtained results are illustrated by an example.

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