Ulam Stabilities via Pachpatte's Inequality for Volterra-Fredholm Delay Integrodifferential Equations in Banach Spaces

Authors

  • Kishor D. Kucche
  • Pallavi U. Shikhare

DOI:

https://doi.org/10.1285/i15900932v38n1p67

Keywords:

Volterra-Fredholm Integrodifferential Equations, Ulam-Hyers stability, Ulam-Hyers-Rassias stability, Integral inequality

Abstract

In this paper, we will investigate Ulam-Hyers and Ulam-Hyers-Rassias stabilities of nonlinear Volterra-Fredholm delay integrodifferential equations in Banach spaces. Pachpatte's inequality and its extended version are utilized to obtain these stabilities. Examples are given in support of the results we obtained.

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Published

23-05-2018

Issue

Volume 38, Issue 1 (2018)

Section

Articoli

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http://creativecommons.org/licenses/by-nc-nd/3.0/it/legalcode