On the Well-Posedness of the Cauchy Problem for a Functional Differential Equation Taking Into Account Variable Delay Perturbation
- Authors: Tadumadze T.1,2
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Affiliations:
- I. Javakhishvili Tbilisi State University
- I. Vekua Institute of Applied Mathematics, Tbilisi State University
- Issue: Vol 218, No 6 (2016)
- Pages: 844-847
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/238405
- DOI: https://doi.org/10.1007/s10958-016-3074-9
- ID: 238405
Cite item
Abstract
In the present paper, theorems on the continuous dependence of solution on perturbations of the initial data and the right-hand side of equation are formulated. Under initial data we imply the collection of initial moment, variable delay, initial vector and initial function.
About the authors
T. Tadumadze
I. Javakhishvili Tbilisi State University; I. Vekua Institute of Applied Mathematics, Tbilisi State University
Author for correspondence.
Email: tamaz.tadumadze@tsu.ge
Georgia, Tbilisi; Tbilisi