2017
Том 69
№ 9

All Issues

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

Bondarev B. V., Kovtun E. E.

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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.

English version (Springer): Ukrainian Mathematical Journal 57 (2005), no. 4, pp 523-550.

Citation Example: 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. Mat. Zh. - 2005. - 57, № 4. - pp. 435–457.

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