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Estimates for the Rate of Convergence in Ordinary Differential Equations under the Action of Random Processes with Fast Time

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Ukrainian Mathematical Journal Aims and scope

Abstract

We study the procedure of averaging in the Cauchy problem for an ordinary differential equation perturbed by a certain Markov ergodic process. We establish several estimates for the rate of convergence of solutions of the original problem to solutions of the averaged one.

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Authors and Affiliations

  1. Donetsk National University, Donetsk, Ukraine

    B. V. Bondarev & E. E. Kovtun

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  1. B. V. Bondarev
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  2. E. E. Kovtun
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Translated from Ukrains'kyi Matematychnyi Zhurnal, Vol. 57, No. 4, pp. 435–457, April, 2005.

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Bondarev, B.V., Kovtun, E.E. Estimates for the Rate of Convergence in Ordinary Differential Equations under the Action of Random Processes with Fast Time. Ukr Math J 57, 523–550 (2005). https://doi.org/10.1007/s11253-005-0208-5

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  • DOI: https://doi.org/10.1007/s11253-005-0208-5

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