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

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...

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Autor principal:	Rizgar Issa Hasan
Formato:	article
Lenguaje:	EN
Publicado:	Department of Mathematics, UIN Sunan Ampel Surabaya 2020
Materias:	picard approximation method; banach fixed point theorem; integral equation Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/334b76972ccb418d96972cfc063d522f
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spelling	oai:doaj.org-article:334b76972ccb418d96972cfc063d522f2021-12-02T17:53:28ZExistence, Uniqueness, and Stability Solutions of Nonlinear System of Integral Equations2527-31592527-316710.15642/mantik.2020.6.2.76-82https://doaj.org/article/334b76972ccb418d96972cfc063d522f2020-10-01T00:00:00Zhttp://jurnalsaintek.uinsby.ac.id/index.php/mantik/article/view/962https://doaj.org/toc/2527-3159https://doaj.org/toc/2527-3167The 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).Rizgar Issa HasanDepartment of Mathematics, UIN Sunan Ampel Surabayaarticlepicard approximation method; banach fixed point theorem; integral equationMathematicsQA1-939ENMantik: Jurnal Matematika, Vol 6, Iss 2, Pp 76-82 (2020)
institution	DOAJ
collection	DOAJ
language	EN
topic	picard approximation method; banach fixed point theorem; integral equation Mathematics QA1-939
spellingShingle	picard approximation method; banach fixed point theorem; integral equation Mathematics QA1-939 Rizgar Issa Hasan Existence, Uniqueness, and Stability Solutions of Nonlinear System of Integral Equations
description	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).
format	article
author	Rizgar Issa Hasan
author_facet	Rizgar Issa Hasan
author_sort	Rizgar Issa Hasan
title	Existence, Uniqueness, and Stability Solutions of Nonlinear System of Integral Equations
title_short	Existence, Uniqueness, and Stability Solutions of Nonlinear System of Integral Equations
title_full	Existence, Uniqueness, and Stability Solutions of Nonlinear System of Integral Equations
title_fullStr	Existence, Uniqueness, and Stability Solutions of Nonlinear System of Integral Equations
title_full_unstemmed	Existence, Uniqueness, and Stability Solutions of Nonlinear System of Integral Equations
title_sort	existence, uniqueness, and stability solutions of nonlinear system of integral equations
publisher	Department of Mathematics, UIN Sunan Ampel Surabaya
publishDate	2020
url	https://doaj.org/article/334b76972ccb418d96972cfc063d522f
work_keys_str_mv	AT rizgarissahasan existenceuniquenessandstabilitysolutionsofnonlinearsystemofintegralequations
_version_	1718379158869901312

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

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