The stability of nonlinear delay integro-differential equations in the sense of Hyers-Ulam

نویسندگان

چکیده

Abstract In this study, an initial-value problem for a nonlinear Volterra functional integro-differential equation on finite interval was considered. The term in the contains multiple time delays. addition to giving some new theorems existence and uniqueness of solutions equation, authors also prove Hyers-Ulam-Rassias stability Hyers-Ulam equation. proofs use several different tools including Banach’s fixed point theorem, construction Picard operator, application Pachpatte’s inequality. An example is provided illustrate existence, uniqueness, properties solutions.

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ژورنال

عنوان ژورنال: Nonautonomous Dynamical Systems

سال: 2023

ISSN: ['2353-0626']

DOI: https://doi.org/10.1515/msds-2022-0169