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

Authors

  • M.J. Mardanov
  • Y.A. Sharifov
  • Humbet Aliyev Baku Engineering University
  • R.A. Sardarova

DOI:

https://doi.org/10.29020/nybg.ejpam.v13i3.3698

Keywords:

Multipoint boundary conditions, existence and uniqueness solutions, fixed point theorems, first order differential equation, Schaefer's fixed point theorem.

Abstract

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.

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Published

2020-07-31

Issue

Section

Nonlinear Analysis

How to Cite

Existence and Uniqueness of Solutions for the First Order Non-linear Differential Equations with Multi-point Boundary Conditions. (2020). European Journal of Pure and Applied Mathematics, 13(3), 414-426. https://doi.org/10.29020/nybg.ejpam.v13i3.3698