Open AccessExistence and uniqueness results for the first-order non-linear impulsive integro-differential equations with two-point boundary conditions
Author(s) -
Mısır J. Mardanov,
R.S. Mammadov,
S.Yu. Gasimov,
Yagub A. Sharifov
Publication year - 2021
Publication title -
ķaraġandy universitetìnìn̦ habaršysy. matematika seriâsy
Language(s) - English
Resource type - Journals
eISSN - 2663-5011
pISSN - 2518-7929
DOI - 10.31489/2021m2/74-83
Subject(s) - uniqueness , mathematics , fixed point theorem , contraction mapping , mathematical analysis , picard–lindelöf theorem , boundary value problem , contraction principle , nonlinear system , banach fixed point theorem , differential equation , fixed point , physics , quantum mechanics
The article discusses the existence and uniqueness of solutions for a system of nonlinear integro-differential equations of the first order with two-point boundary conditions. The Green function is constructed, and the problem under consideration is reduced to equivalent integral equation. Existence and uniqueness of a solution to this problem is analyzed using the Banach contraction mapping principle. Schaefer’s fixed point theorem is used to prove the existence of solutions.