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Ulam–Hyers Stability of Integrodifferential Equations in Banach Spaces via Pachpatte’s Inequality

Kishor D. Kucche

Department of Mathematics, Shivaji University, Kolhapur-416 004, Maharashtra, India

E-mail Address: kdkucche@gmail.com

Corresponding author.

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and

Pallavi U. Shikhare

Department of Mathematics, Shivaji University, Kolhapur-416 004, Maharashtra, India

E-mail Address: jananishikhare13@gmail.com

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https://doi.org/10.1142/S1793557118500626Cited by:17 (Source: Crossref)

Abstract

In this paper, Pachpatte’s inequality is employed to discuss the Ulam–Hyers stabilities for Volterra integrodifferential equations and Volterra delay integrodifferential equations in Banach spaces on both finite and infinite intervals. Examples are given to show the applicability of our obtained results.

Communicated by N.-C. Wong

Keywords:

AMSC: 45N05, 45M10, 34G20, 35A23

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