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

DOI: https://doi.org/10.24843/MTK.2020.v09.i02.p287

Abstract

       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.


 

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Author Biography

FARAJ YACOOB ISHAK, University of Duhok

Department of statistics, Collage of Administration & Economics, University of Duhok, Iraq

Published
2020-05-26
How to Cite
ISHAK, FARAJ YACOOB. EXISTENCE, UNIQUENESS AND STABILITY SOLUTIONS FOR NEW NONLINEAR SYSTEM OF INTEGRO-DIFFERENTIAL EQUATIONS OF VOLTERRA TYPE. E-Jurnal Matematika, [S.l.], v. 9, n. 2, p. 109-116, may 2020. ISSN 2303-1751. Available at: <https://ojs.unud.ac.id/index.php/mtk/article/view/59770>. Date accessed: 25 apr. 2024. doi: https://doi.org/10.24843/MTK.2020.v09.i02.p287.
Citation Formats
Issue
Vol 9 No 2 (2020)
Section
Articles
Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.