On the well-posedness of the Cauchy problem for differential equations with distributed prehistory considering delay function perturbations

Theorems on the continuous dependence of the solution on perturbations of the initial data and the right-hand side of equation are proved. Under initial data we understand the collection of initial moment, of delay function and initial function. Perturbations of the right-hand side of equation are s...

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Bibliographic Details
Main Authors: Phridon Dvalishvili, Tamaz Tadumadze
Format: Article
Language:English
Published: Elsevier 2016-05-01
Series:Transactions of A. Razmadze Mathematical Institute
Online Access:http://www.sciencedirect.com/science/article/pii/S2346809215000045