Open AccessSome existence results on positive solutions for an iterative second-order boundary-value problem with integral boundary conditions
Author(s) -
Safa Chouaf,
Rabah Khemis,
Ahlème Bouakkaz
Publication year - 2022
Publication title -
boletim da sociedade paranaense de matemática
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.347
H-Index - 15
eISSN - 2175-1188
pISSN - 0037-8712
DOI - 10.5269/bspm.52461
Subject(s) - uniqueness , mathematics , boundary value problem , fixed point theorem , mathematical analysis , bounded function , order (exchange) , nonlinear system , term (time) , fixed point , value (mathematics) , integral equation , physics , economics , statistics , finance , quantum mechanics
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.