On the well-posedness of the Cauchy problem for a class of differential equations with distributed delay and the continuous initial condition. - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Proceedings of the Institute of Mathematics and Mechanics Année : 2017

On the well-posedness of the Cauchy problem for a class of differential equations with distributed delay and the continuous initial condition.

Phridon Dvalishvili
  • Fonction : Auteur
Tamaz Tadumadze
  • Fonction : Auteur

Résumé

Theorems on the continuous dependence of solutions on perturbations of the initial data and the right-hand side of equations are proved. Under initial data we imply the collection of an initial moment, delay and initial functions. Perturbations of the initial data are small in a standard norm and perturbations of the right-hand side of equation are small in the integral sense.
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Dates et versions

hal-02428962 , version 1 (06-01-2020)

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  • HAL Id : hal-02428962 , version 1

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Phridon Dvalishvili, Abdeljalil Nachaoui, Mourad Nachaoui, Tamaz Tadumadze. On the well-posedness of the Cauchy problem for a class of differential equations with distributed delay and the continuous initial condition.. Proceedings of the Institute of Mathematics and Mechanics, 2017, 43 (01), pp.146-160. ⟨hal-02428962⟩
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