Existence and Uniqueness of Solutions for the First Order Non-linear Differential Equations with Multi-point Boundary Conditions

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 o...

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Bibliographic Details
Published in:European journal of pure and applied mathematics 2020-07, Vol.13 (3), p.414-426
Main Authors: Mardanov, M.J., Sharifov, Y.A., Aliyev, Humbet, Sardarova, R.A.
Format: Article
Language:English
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Summary: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.
ISSN:1307-5543
1307-5543
DOI:10.29020/nybg.ejpam.v13i3.3698