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, Scopus)

• 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
• Open Archive Collection: Article, Digital Heritage Collection
• 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.