Jurnal Matematika: MANTIK
Vol. 6 No. 2 (2020): Mathematics and Applied Mathematics

Existence, Uniqueness, and Stability Solutions of Nonlinear System of Integral Equations

Rizgar Issa Hasan (Duhok Polytechnic University)

Article Info

Publish Date
31 Oct 2020

Abstract

The aim of this work is to study the existence, uniqueness, and stability solutions of a new nonlinear system of integral equation by using Picard approximation (successive approximation) method and Banach fixed point theorem. The study of such nonlinear integral equations is more general and leads us to improve to extend the result of Butris. Theorems on the existence and uniqueness of a solution are established under some necessary and sufficient conditions on closed and bounded domains (compact spaces).

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Journal Info
Jurnal Matematika: MANTIK
Website

Abbrev

mantik

Publisher

Universitas Islam Negeri Sunan Ampel

Subject

Mathematics

Description

Jurnal Matematika MANTIK is a mathematical journal published biannually by the Mathematics Department, Faculty of Science and Technology, UIN Sunan Ampel Surabaya. Journal includes research papers, literature studies, analysis, and problem-solving in Mathematics (Algebra, Analysis, Statistics, ...