EXISTENCE, UNIQUENESS AND STABILITY SOLUTIONS FOR NEW NONLINEAR SYSTEM OF INTEGRO-DIFFERENTIAL EQUATIONS OF VOLTERRA TYPE

EXISTENCE, UNIQUENESS AND STABILITY SOLUTIONS FOR NEW NONLINEAR SYSTEM OF INTEGRO-DIFFERENTIAL EQUATIONS OF VOLTERRA TYPE

In this article, we established the existence, uniqueness and stability solutions for a nonlinear system of integro-differential equations of Volterra type in Banach spaces. Krasnoselskii Fixed point theorems and Picard approximation method are the main tool used here to establish the existence and...

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Main Author: FARAJ YACOOB ISHAK
Format: Article
Language:English
Published: Universitas Udayana 2020-05-01
Series:E-Jurnal Matematika
Online Access:https://ojs.unud.ac.id/index.php/mtk/article/view/59770
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spelling doaj-7cc8e80bc2824b579223bac923867b582020-11-25T03:15:07ZengUniversitas UdayanaE-Jurnal Matematika2303-17512020-05-019210911610.24843/MTK.2020.v09.i02.p28759770EXISTENCE, UNIQUENESS AND STABILITY SOLUTIONS FOR NEW NONLINEAR SYSTEM OF INTEGRO-DIFFERENTIAL EQUATIONS OF VOLTERRA TYPEFARAJ YACOOB ISHAK0University of DuhokIn this article, we established the existence, uniqueness and stability solutions for a nonlinear system of integro-differential equations of Volterra type in Banach spaces. Krasnoselskii Fixed point theorems and Picard approximation method are the main tool used here to establish the existence and uniqueness results. A simple example of application of the main result of this paper is presented.https://ojs.unud.ac.id/index.php/mtk/article/view/59770
collection DOAJ
language English
format Article
sources DOAJ
author FARAJ YACOOB ISHAK
spellingShingle FARAJ YACOOB ISHAK
EXISTENCE, UNIQUENESS AND STABILITY SOLUTIONS FOR NEW NONLINEAR SYSTEM OF INTEGRO-DIFFERENTIAL EQUATIONS OF VOLTERRA TYPE
E-Jurnal Matematika
author_facet FARAJ YACOOB ISHAK
author_sort FARAJ YACOOB ISHAK
title EXISTENCE, UNIQUENESS AND STABILITY SOLUTIONS FOR NEW NONLINEAR SYSTEM OF INTEGRO-DIFFERENTIAL EQUATIONS OF VOLTERRA TYPE
title_short EXISTENCE, UNIQUENESS AND STABILITY SOLUTIONS FOR NEW NONLINEAR SYSTEM OF INTEGRO-DIFFERENTIAL EQUATIONS OF VOLTERRA TYPE
title_full EXISTENCE, UNIQUENESS AND STABILITY SOLUTIONS FOR NEW NONLINEAR SYSTEM OF INTEGRO-DIFFERENTIAL EQUATIONS OF VOLTERRA TYPE
title_fullStr EXISTENCE, UNIQUENESS AND STABILITY SOLUTIONS FOR NEW NONLINEAR SYSTEM OF INTEGRO-DIFFERENTIAL EQUATIONS OF VOLTERRA TYPE
title_full_unstemmed EXISTENCE, UNIQUENESS AND STABILITY SOLUTIONS FOR NEW NONLINEAR SYSTEM OF INTEGRO-DIFFERENTIAL EQUATIONS OF VOLTERRA TYPE
title_sort existence, uniqueness and stability solutions for new nonlinear system of integro-differential equations of volterra type
publisher Universitas Udayana
series E-Jurnal Matematika
issn 2303-1751
publishDate 2020-05-01
description In this article, we established the existence, uniqueness and stability solutions for a nonlinear system of integro-differential equations of Volterra type in Banach spaces. Krasnoselskii Fixed point theorems and Picard approximation method are the main tool used here to establish the existence and uniqueness results. A simple example of application of the main result of this paper is presented.
url https://ojs.unud.ac.id/index.php/mtk/article/view/59770
work_keys_str_mv AT farajyacoobishak existenceuniquenessandstabilitysolutionsfornewnonlinearsystemofintegrodifferentialequationsofvolterratype
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