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Method of freezing in systems with impulse action

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Ukrainian Mathematical Journal Aims and scope

Abstract

Linear and weakly linear systems of differential equations with variable matrices, subjected to impulse action at fixed moments of time, are investigated. Sufficient conditions for the asymptotic stability of solutions of the systems being considered, expressed in terms of the eigenvalues of the variable matrix, are obtained.

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Literature cited

  1. A. M. Samoilenko and N. A. Perestyuk, Differential Equations with Impulse Action [in Russian], Vishcha Shkola, Kiev (1987).

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  2. B. F. Bylov, R. E. Vinograd, D. M. Grobman, and V. V. Nemytskii, Theory of Lyapunov Exponents [in Russian], Nauka, Moscow (1977).

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Authors and Affiliations

  1. Kiev University, USSR

    O. A. Ashirov & N. A. Perestyuk

Authors
  1. O. A. Ashirov
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  2. N. A. Perestyuk
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 43, No. 6, pp. 848–853, June, 1991.

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Ashirov, O.A., Perestyuk, N.A. Method of freezing in systems with impulse action. Ukr Math J 43, 796–801 (1991). https://doi.org/10.1007/BF01058950

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  • DOI: https://doi.org/10.1007/BF01058950

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