Chabanyuk, Y. M.; Nikitin, A. V.; Khimka, U. T. Averaging in the control problem for the diffusion transfer process with semi-Markov switching. (English. Ukrainian original) Zbl 07765888 Cybern. Syst. Anal. 59, No. 4, 591-600 (2023); translation from Kibern. Sist. Anal. 59, No. 4, 94-105 (2023). MSC: 60J60 93E20 PDFBibTeX XMLCite \textit{Y. M. Chabanyuk} et al., Cybern. Syst. Anal. 59, No. 4, 591--600 (2023; Zbl 07765888); translation from Kibern. Sist. Anal. 59, No. 4, 94--105 (2023) Full Text: DOI
Samoilenko, I. V.; Chabanyuk, Yaroslav M.; Nikitin, A. V. Asymptotic dissipativity of random processes with impulse perturbation in the Poisson approximation scheme. (English. Russian original) Zbl 1393.93117 Cybern. Syst. Anal. 54, No. 2, 205-211 (2018); translation from Kibern. Sist. Anal. 2018, No. 2, 38-44 (2018). MSC: 93E03 60J75 60H10 93E15 PDFBibTeX XMLCite \textit{I. V. Samoilenko} et al., Cybern. Syst. Anal. 54, No. 2, 205--211 (2018; Zbl 1393.93117); translation from Kibern. Sist. Anal. 2018, No. 2, 38--44 (2018) Full Text: DOI
Samoilenko, I. V.; Chabanyuk, Yaroslav M.; Nikitin, A. V.; Himka, Uliana T. Differential equations with small stochastic additions under Poisson approximation conditions. (English. Russian original) Zbl 1372.60112 Cybern. Syst. Anal. 53, No. 3, 410-416 (2017); translation from Kibern. Sist. Anal. 2017, No. 3, 93-99 (2017). MSC: 60J25 60H40 PDFBibTeX XMLCite \textit{I. V. Samoilenko} et al., Cybern. Syst. Anal. 53, No. 3, 410--416 (2017; Zbl 1372.60112); translation from Kibern. Sist. Anal. 2017, No. 3, 93--99 (2017) Full Text: DOI
Gorun, P. P.; Chabanyuk, Y. M. Asymptotic behavior of a modified stochastic optimization procedure in an averaging scheme. (English. Russian original) Zbl 1334.90091 Cybern. Syst. Anal. 51, No. 6, 956-964 (2015); translation from Kibern. Sist. Anal. 2015, No. 6, 137-146 (2015). MSC: 90C15 PDFBibTeX XMLCite \textit{P. P. Gorun} and \textit{Y. M. Chabanyuk}, Cybern. Syst. Anal. 51, No. 6, 956--964 (2015; Zbl 1334.90091); translation from Kibern. Sist. Anal. 2015, No. 6, 137--146 (2015) Full Text: DOI
Kukurba, V. R.; Chabanyuk, Ya. M. Continuous stochastic optimization with semi-Markov switchings in the diffusion approximation scheme. (English. Russian original) Zbl 1330.90060 Cybern. Syst. Anal. 49, No. 6, 882-889 (2013); translation from Kibern. Sist. Anal. 2013, No. 6, 92-99 (2013). MSC: 90C15 90C40 PDFBibTeX XMLCite \textit{V. R. Kukurba} and \textit{Ya. M. Chabanyuk}, Cybern. Syst. Anal. 49, No. 6, 882--889 (2013; Zbl 1330.90060); translation from Kibern. Sist. Anal. 2013, No. 6, 92--99 (2013) Full Text: DOI
Khimka, U. T.; Chabanyuk, Ya. M. A difference stochastic optimization procedure with impulse perturbation. (English. Russian original) Zbl 1330.90059 Cybern. Syst. Anal. 49, No. 5, 768-773 (2013); translation from Kibern. Sist. Anal. 2013, No. 5, 145-151 (2013). MSC: 90C15 PDFBibTeX XMLCite \textit{U. T. Khimka} and \textit{Ya. M. Chabanyuk}, Cybern. Syst. Anal. 49, No. 5, 768--773 (2013; Zbl 1330.90059); translation from Kibern. Sist. Anal. 2013, No. 5, 145--151 (2013) Full Text: DOI
Kiykovska, O. I.; Chabanyuk, Ya. M. Random evolution in a scheme of asymptotically small diffusion with Markov switchings. (English. Russian original) Zbl 1308.60092 Cybern. Syst. Anal. 49, No. 2, 303-308 (2013); translation from Kibern. Sist. Anal. 2013, No. 2, 164-169 (2013). Reviewer: Sophia L. Kalpazidou (Thessaloniki) MSC: 60J60 60F10 60H10 PDFBibTeX XMLCite \textit{O. I. Kiykovska} and \textit{Ya. M. Chabanyuk}, Cybern. Syst. Anal. 49, No. 2, 303--308 (2013; Zbl 1308.60092); translation from Kibern. Sist. Anal. 2013, No. 2, 164--169 (2013) Full Text: DOI
Semenyuk, S. A.; Chabanyuk, Ya. M. Fluctuations of a stochastic system under an asymptotic diffusive perturbation. (English. Russian original) Zbl 1157.93517 Cybern. Syst. Anal. 44, No. 5, 716-721 (2008); Translation from Kibern. Sist. Anal. 2008, No. 5, 104-109 (2008). MSC: 93E03 93C73 60H10 PDFBibTeX XMLCite \textit{S. A. Semenyuk} and \textit{Ya. M. Chabanyuk}, Cybern. Syst. Anal. 44, No. 5, 716--721 (2008; Zbl 1157.93517) Full Text: DOI
Chabanyuk, Ya. M. Convergence of a jump procedure in a semi-Markov environment in diffusion-approximation scheme. (English. Russian original) Zbl 1255.60159 Cybern. Syst. Anal. 43, No. 6, 866-875 (2007); translation from Kibern. Sist. Anal. 2007, No. 6, 124-133 (2007). MSC: 60K15 62L20 PDFBibTeX XMLCite \textit{Ya. M. Chabanyuk}, Cybern. Syst. Anal. 43, No. 6, 866--875 (2007; Zbl 1255.60159); translation from Kibern. Sist. Anal. 2007, No. 6, 124--133 (2007) Full Text: DOI
Chabanyuk, Ya. M. Continuous stochastic approximation with semi-Markov switchings in the diffusion approximation scheme. (English. Russian original) Zbl 1146.62064 Cybern. Syst. Anal. 43, No. 4, 605-612 (2007); translation from Kibern. Sist. Anal. 2007, No. 4, 170-178 (2007). MSC: 62L20 60K15 PDFBibTeX XMLCite \textit{Ya. M. Chabanyuk}, Cybern. Syst. Anal. 43, No. 4, 605--612 (2007; Zbl 1146.62064); translation from Kibern. Sist. Anal. 2007, No. 4, 170--178 (2007) Full Text: DOI
Chabanyuk, Ya. M. Continuous procedure of stochastic approximation with singular perturbation under balance conditions. (English. Russian original) Zbl 1119.62077 Cybern. Syst. Anal. 42, No. 3, 420-425 (2006); translation from Kibern. Sist. Anal. 42, No. 3, 133-139 (2006). MSC: 62L20 60H10 PDFBibTeX XMLCite \textit{Ya. M. Chabanyuk}, Cybern. Syst. Anal. 42, No. 3, 420--425 (2006; Zbl 1119.62077); translation from Kibern. Sist. Anal. 42, No. 3, 133--139 (2006) Full Text: DOI