Ulam–Hyers Stability of Integrodifferential Equations in Banach Spaces via Pachpatte’s Inequality-Reference-Cited by-同舟云学术

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

Published:2018-08 Issue:04 Volume:11 Page:1850062
ISSN:1793-5571
Container-title:Asian-European Journal of Mathematics
language:en
Short-container-title:Asian-European J. Math.

Author:

Kucche Kishor D.¹,Shikhare Pallavi U.¹

Affiliation:

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

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793557118500626

Reference30 articles.

1. Stationary Hyers-Ulam-Rassias stability for a class of nonlinear Volterra integral equations

2. Existence of Solutions of Nonlinear Neutral Integrodifferential Equations in Banach Spaces

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