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

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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.

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References

  1. G. L. Kharatishvili and T. A. Tadumadze, “Variation formulas of solutions and optimal control problems for differential equations with retarded argument,” J. Math. Sci., 140, No. 1, 1–175 (2007).

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Authors and Affiliations

  1. I. Javakhishvili Tbilisi State University, Tbilisi, Georgia

    T. Tadumadze

  2. I. Vekua Institute of Applied Mathematics, Tbilisi State University, Tbilisi, Georgia

    T. Tadumadze

Authors
  1. T. Tadumadze
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Correspondence to T. Tadumadze.

Additional information

Translated from Sovremennaya Matematika i Ee Prilozheniya (Contemporary Mathematics and Its Applications), Vol. 97, Proceedings of the International Conference “Lie Groups, Differential Equations, and Geometry,” June 10–22, 2013, Batumi, Georgia, Part 2, 2015.

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Tadumadze, T. On the Well-Posedness of the Cauchy Problem for a Functional Differential Equation Taking Into Account Variable Delay Perturbation. J Math Sci 218, 844–847 (2016). https://doi.org/10.1007/s10958-016-3074-9

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  • DOI: https://doi.org/10.1007/s10958-016-3074-9

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