On the representation of solution for the perturbed quasi-linear controlled neutral functional-differential equation with the discontinuous initial condition-Reference-Cited by-同舟云学术

On the representation of solution for the perturbed quasi-linear controlled neutral functional-differential equation with the discontinuous initial condition

Published:2024-01-11 Issue: Volume: Page:
ISSN:1072-947X
Container-title:Georgian Mathematical Journal
language:en
Short-container-title:

Author:

Nachaoui Abdeljalil¹,Shavadze Tea²,Tadumadze Tamaz³

Affiliation:

1. University of Nantes/CNRS , UMR 6629 , Jean Leray Laboratory of Mathematics , 2 rue de Houssiniere, BP 92208, 44322 Nantes , France

2. Business and Technology University , 82 I. Chavchavadze Avenue , Tbilisi 0162 ; and I. Vekua Institute of Applied Mathematics of Iv. Javakhishvili Tbilisi State University, 11 University St., Tbilisi 0186 , Georgia

3. Department of Mathematics and I. Vekua Institute of Applied Mathematics , Iv. Javakhishvili Tbilisi State University , 11 University St. , Tbilisi 0186 , Georgia

Abstract

Abstract The analytic relation between solutions of the original Cauchy problem and a corresponding perturbed problem is established. In the representation formula of solution, the effects of the discontinuous initial condition and perturbation of the initial data are revealed.

Publisher

Walter de Gruyter GmbH

Link

https://www.degruyter.com/document/doi/10.1515/gmj-2023-2122/pdf

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