Open AccessExistence and Uniqueness of Solutions for the First Order Non-linear Differential Equations with Multi-point Boundary Conditions
Author(s) -
Mısır J. Mardanov,
Yagub A. Sharifov,
Humbet Aliyev Aliyev,
R.A. Sardarova
Publication year - 2020
Publication title -
european journal of pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.245
H-Index - 5
ISSN - 1307-5543
DOI - 10.29020/nybg.ejpam.v13i3.3698
Subject(s) - mathematics , uniqueness , contraction principle , contraction mapping , mathematical analysis , picard–lindelöf theorem , fixed point theorem , boundary value problem , ordinary differential equation , banach fixed point theorem , order (exchange) , differential equation , finance , economics
This article discusses the existence and uniqueness of solutions for the system of non-linear first order ordinary differential equations with multipoint boundary conditions. The Green function is constructed, and the problem is reduced to the equivalent integral equation. Existence and uniqueness of the solution to this problem is studied using the Banach contraction mapping principle and Schaefer’s fixed point theorem.