Interpretation on nonlocal neutral functional differential equations with delay-Reference-Cited by-同舟云学术

Interpretation on nonlocal neutral functional differential equations with delay

Published:2023 Issue:11 Volume:8 Page:25611-25632
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Nisar Kottakkaran Sooppy¹,Munusamy Kasilingam²,Ravichandran Chokkalingam³,Sabarinathan Sriramulu⁴

Affiliation:

1. Department of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam bin Abdulaziz University, Alkharj 11942, Saudi Arabia

2. Department of Mathematics, Hindusthan College of Engineering and Technology, Coimbatore 641032, India

3. Department of Mathematics, Kongunadu Arts and Science College (Autonomous), Coimbatore 641029, Tamil Nadu, India

4. Department of Mathematics, Faculty of Engineering and Technology, SRM Institute of Science and Technology, Kattankulthur 603203, Tamil Nadu, India

Abstract

<abstract><p>This work deals with the existence and continuous dependence of an integral solution for neutral integro-differential equations with a nonlocal condition. This result is established by using an integrated resolvent operator under conditions of Lipschitz continuity and uniqueness via the Banach fixed point technique. We also study the existence of a strict solution on reflexive and general Banach spaces. In the last section, an example is provided related to this theory.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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