Existence and Uniqueness of Solutions for the First Order Non-linear Differential Equations with Multi-point Boundary Conditions
DOI:
https://doi.org/10.29020/nybg.ejpam.v13i3.3698Keywords:
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.
Downloads
Published
2020-07-31
Issue
Section
Nonlinear Analysis
License
Upon acceptance of an article by the journal, the author(s) accept(s) the transfer of copyright of the article to European Journal of Pure and Applied Mathematics.
European Journal of Pure and Applied Mathematics will be Copyright Holder.
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