On the Well-Posedness of the Cauchy Problem for a Functional Differential Equation Taking Into Account Variable Delay Perturbation


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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.

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T. Tadumadze

I. Javakhishvili Tbilisi State University; I. Vekua Institute of Applied Mathematics, Tbilisi State University

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Email: tamaz.tadumadze@tsu.ge
格鲁吉亚, Tbilisi; Tbilisi

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