SOME RESULT IN THE EXISTENCE, UNIQUENESS AND STABILITY SOLUTION OF INTEGRO-DIFFERENTIAL EQUATION

The purpose of this paper is to investigate the existence, uniqueness, and stability   solution to a non-linear system of integro-differential equations by using both methods Picard approximation and Banach fixed point theorem.  The existence, uniqueness, and stability   theorems are established und...

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Veröffentlicht in:E-jurnal matematika 2024-05, Vol.13 (2), p.146-153
Hauptverfasser: ABDI, SAHLA BIBO, BUTRIS, RAAD NOORI
Format: Artikel
Sprache:eng
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Zusammenfassung:The purpose of this paper is to investigate the existence, uniqueness, and stability   solution to a non-linear system of integro-differential equations by using both methods Picard approximation and Banach fixed point theorem.  The existence, uniqueness, and stability   theorems are established under necessary and sufficient conditions of closed and bounded domain.
ISSN:2303-1751
2303-1751
DOI:10.24843/MTK.2024.v13.i02.p455