Malyk, I. V. Semi-Markov random evolutions in averaging scheme. (Ukrainian. English summary) Zbl 1289.60144 Nauk. Visn. Uzhgorod. Univ., Ser. Mat. 23, No. 2, 117-125 (2012). Summary: Sufficient conditions for the weak convergence of semi-Markov random evolutions in an averaging scheme to the solution of ordinary differential equations with restrictions in local characteristics of “basic” processes are obtained. MSC: 60K15 Markov renewal processes, semi-Markov processes Keywords:semi-Markov random evolution; averaging scheme PDFBibTeX XMLCite \textit{I. V. Malyk}, Nauk. Visn. Uzhgorod. Univ., Ser. Mat. 23, No. 2, 117--125 (2012; Zbl 1289.60144)