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Investigation of a linear evolution system in the Banach space with random times of perturbations

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Abstract

For a linear evolution system given in the Banach space and characterized by pulse perturbations at random times, we establish conditions for the existence of a unique solution of the Cauchy problem and investigate the stability of the zero solution.

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References

  1. A. M. Samoilenko and M. A. Ilolov, “On the theory of evolution equations with pulse action,” Dokl. Akad. Nauk SSSR, 314, No. 4, 822–825 (1991).

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Authors and Affiliations

  1. Kiev University, Kiev

    M. Ya. Svishchuk

Authors
  1. M. Ya. Svishchuk
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 50, No. 3, pp. 433–436, March, 1998.

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Svishchuk, M.Y. Investigation of a linear evolution system in the Banach space with random times of perturbations. Ukr Math J 50, 493–497 (1998). https://doi.org/10.1007/BF02528815

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  • DOI: https://doi.org/10.1007/BF02528815

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