Existence and uniqueness of solutions for the first order non-linear differential equations with multi-point boundary conditions

Mardanov, M.; Sharifov, Y.; Aliyev, H.; Sardarova, R.

doi:10.29020/nybg.ejpam.v13i3.3698

Existence and uniqueness of solutions for the first order non-linear differential equations with multi-point boundary conditions

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Mardanov M. J., Sharifov Y. A., Aliyev H. N., Sardarova R. A.

EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, vol.13, no.3, pp.414-426, 2020 (ESCI)

Publication Type: Article / Article
Volume: 13 Issue: 3
Publication Date: 2020
Doi Number: 10.29020/nybg.ejpam.v13i3.3698
Journal Name: EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS
Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
Page Numbers: pp.414-426
Azerbaijan State University of Economics (UNEC) Affiliated: Yes

Abstract

This article discusses the existence and uniqueness of solutions for the system of nonlinear 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.