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Asymptotic behavior of solutions of pulse systems with small parameter and markov switchings. II. Weak convergence of solutions

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Ukrainian Mathematical Journal Aims and scope

Abstract

We consider pulse systems with Markov switchings. We study the problem of the uniform boundedness of solutions of such systems and the stability of the systems with respect to the limit equation.

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References

  1. M. L. Sverdan, E. F. Tsar’kov, and V. K. Yasyns’kyi, “Asymptotic behavior of solutions of pulse systems with small parameter and Markov switchings. I. Uniform boundedness of solutions,”Ukr. Mat. Zh.,48, No. 10, 1375–1385 (1996).

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  2. P. Billingsley,Convergence of Probability Measures, Wiley, New York 1968.

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  3. E. F. Tsar’kov and V. K. Yasyns’kyi,Quasilinear Stochastic Functional-Differential Equations [in Russian], Orientir, Riga 1992.

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Authors and Affiliations

  1. Chernovtsy University, Chernovtsy

    M. L. Sverdan & V. K. Yasyns’kyi

  2. Riga Technical University, Riga, Latvia

    E. F. Tsar’kov

Authors
  1. M. L. Sverdan
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  2. E. F. Tsar’kov
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  3. V. K. Yasyns’kyi
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Sverdan, M.L., Tsar’kov, E.F. & Yasyns’kyi, V.K. Asymptotic behavior of solutions of pulse systems with small parameter and markov switchings. II. Weak convergence of solutions. Ukr Math J 48, 1931–1946 (1996). https://doi.org/10.1007/BF02375379

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  • DOI: https://doi.org/10.1007/BF02375379

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