Chabanyuk, Ya. M.; Nikitin, A. V.; Khimka, U. T. Control problem for the impulse process under stochastic optimization procedure and Lévy conditions. (English) Zbl 1481.60128 Mat. Stud. 55, No. 1, 107-112 (2021). MSC: 60H30 PDFBibTeX XMLCite \textit{Ya. M. Chabanyuk} et al., Mat. Stud. 55, No. 1, 107--112 (2021; Zbl 1481.60128) 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
Kinash, A. V.; Chabanyuk, Ya. M.; Khimka, U. T. The dissipativity conditions for the generalized Omstein-Uhlenbeck process. (English) Zbl 1399.60096 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2017, No. 2, 82-87 (2017). MSC: 60H10 60J99 PDFBibTeX XMLCite \textit{A. V. Kinash} et al., Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2017, No. 2, 82--87 (2017; Zbl 1399.60096)
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
Kinash, A. V.; Chabanyuk, Ya. M.; Khimka, U. T. Asymptotic dissipativity of the random evolution with impulse perturbation. (Ukrainian. English summary) Zbl 1340.60086 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2014, No. 4, 163-166 (2014). MSC: 60H10 60J99 93D05 PDFBibTeX XMLCite \textit{A. V. Kinash} et al., Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2014, No. 4, 163--166 (2014; Zbl 1340.60086)
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
Kukurba, V. R.; Chabanyuk, Ya. M.; Kinash, A. V. Asymptotic diffusivity of fluctuation of continuous stochastic optimization procedure in semi-Markov media. (Ukrainian. English summary) Zbl 1289.60136 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2013, No. 2, 184-189 (2013). MSC: 60J70 PDFBibTeX XMLCite \textit{V. R. Kukurba} et al., Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2013, No. 2, 184--189 (2013; Zbl 1289.60136)
Kijkovs’ka, O. I.; Chabanyuk, Ya. M. Stochastic approximation procedure in diffusion approximation scheme with impulse perturbation under the condition of local balance. (Ukrainian. English summary) Zbl 1289.60135 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2013, No. 2, 161-164 (2013). MSC: 60J70 93B30 PDFBibTeX XMLCite \textit{O. I. Kijkovs'ka} and \textit{Ya. M. Chabanyuk}, Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2013, No. 2, 161--164 (2013; Zbl 1289.60135)
Khimka, U. T.; Chabanyuk, Ya. M.; Semenyuk, S. A. Fluctuations of stochastic optimization procedure in diffusion approximation scheme. (Ukrainian. English summary) Zbl 1289.93157 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2013, No. 1, 239-244 (2013). MSC: 93E20 93C73 PDFBibTeX XMLCite \textit{U. T. Khimka} et al., Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2013, No. 1, 239--244 (2013; Zbl 1289.93157)
Kiykovska, O. I.; Chabanyuk, Ya. M. Convergence of stochastic process with Markov switching. (English) Zbl 1303.60067 Mat. Stud. 37, No. 2, 203-208 (2012). Reviewer: Alex V. Kolnogorov (Novgorod) MSC: 60J25 PDFBibTeX XMLCite \textit{O. I. Kiykovska} and \textit{Ya. M. Chabanyuk}, Mat. Stud. 37, No. 2, 203--208 (2012; Zbl 1303.60067)
Kijkovs’ka, O. I.; Chabanyuk, Ya. M. Convergence of stochastic approximation procedure in asymptotic small diffusion schema. (Ukrainian. English summary) Zbl 1289.93129 Nauk. Visn. Chernivets’kogo Univ., Mat. 2, No. 2-3, 90-95 (2012). MSC: 93E03 93E25 60J70 PDFBibTeX XMLCite \textit{O. I. Kijkovs'ka} and \textit{Ya. M. Chabanyuk}, Nauk. Visn. Chernivets'kogo Univ., Mat. 2, No. 2--3, 90--95 (2012; Zbl 1289.93129)
Khimka, U. T.; Chabanyuk, Ya. M. Stochastic optimization procedure for the index values of software testing. (Ukrainian. English summary) Zbl 1289.68018 Prykl. Stat., Aktuarna Finans. Mat. 2012, No. 2, 24-29 (2012). MSC: 68N99 60J25 PDFBibTeX XMLCite \textit{U. T. Khimka} and \textit{Ya. M. Chabanyuk}, Prykl. Stat., Aktuarna Finans. Mat. 2012, No. 2, 24--29 (2012; Zbl 1289.68018)
Semenyuk, S. A.; Chabanyuk, Ya. M. Stochastic evolution systems with impulsive perturbations. (Ukrainian. English summary) Zbl 1289.93166 Visn. Derzh. Univ. L’viv. Politekh. 660, 56-60 (2010). MSC: 93E25 93E03 60J70 93C73 PDFBibTeX XMLCite \textit{S. A. Semenyuk} and \textit{Ya. M. Chabanyuk}, Visn. Derzh. Univ. L'viv. Politekh. 660, 56--60 (2010; Zbl 1289.93166)
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. Asymptotic normality of continuous procedure in semi-Markov media in the diffusion approximation scheme. (Ukrainian. English summary) Zbl 1164.60409 Nauk. Visn. Uzhgorod. Univ., Ser. Mat. 14-15, 156-164 (2007). MSC: 60J60 60K15 PDFBibTeX XMLCite \textit{Ya. M. Chabanyuk}, Nauk. Visn. Uzhgorod. Univ., Ser. Mat. 14--15, 156--164 (2007; Zbl 1164.60409)
Chabanyuk, Ya. M. Asymptotic normality of jumping procedure of stochastic approximation in a Markov environment. (Ukrainian. English summary) Zbl 1164.60394 Nauk. Visn. Chernivets’kogo Univ., Mat. 349, 128-133 (2007). MSC: 60J05 PDFBibTeX XMLCite \textit{Ya. M. Chabanyuk}, Nauk. Visn. Chernivets'kogo Univ., Mat. 349, 128--133 (2007; Zbl 1164.60394)
Chabanyuk, Ya. M. Asymptotic normality of fluctuations of jumping procedure in diffusion approximation scheme in semi-Markov media. (Ukrainian. English summary) Zbl 1164.60408 Visn. Nats. Univ. L’viv. Politekh., Fiz.-Mat. Nauky 601, 67-72 (2007). MSC: 60J60 60K15 PDFBibTeX XMLCite \textit{Ya. M. Chabanyuk}, Visn. Nats. Univ. L'viv. Politekh., Fiz.-Mat. Nauky 601, 67--72 (2007; Zbl 1164.60408)
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
Chabanyuk, Ya. M. Asymptotic normality of fluctuations of the procedure of stochastic approximation with diffusive perturbation in a Markov medium. (Ukrainian, English) Zbl 1118.62084 Ukr. Mat. Zh. 58, No. 12, 1686-1692 (2006); translation in Ukr. Math. J. 58, No. 12, 1916-1923 (2006). MSC: 62L20 60J60 60K10 PDFBibTeX XMLCite \textit{Ya. M. Chabanyuk}, Ukr. Mat. Zh. 58, No. 12, 1686--1692 (2006; Zbl 1118.62084); translation in Ukr. Math. J. 58, No. 12, 1916--1923 (2006) Full Text: DOI
Chabanyuk, Ya. M. Asymptotic normality of a discrete procedure of stochastic approximation in a semi-Markov medium. (Ukrainian, English) Zbl 1118.62083 Ukr. Mat. Zh. 58, No. 10, 1425-1433 (2006); translation in Ukr. Math. J. 58, No. 10, 1616-1625 (2006). MSC: 62L20 60K15 60J60 PDFBibTeX XMLCite \textit{Ya. M. Chabanyuk}, Ukr. Mat. Zh. 58, No. 10, 1425--1433 (2006; Zbl 1118.62083); translation in Ukr. Math. J. 58, No. 10, 1616--1625 (2006) Full Text: DOI
Chabanyuk, Ya. M. The asymptotic normality of the continuous procedure of a stochastic approximation in a semi-Markov space. (Ukrainian. English summary) Zbl 1097.60071 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2006, No. 5, 23-30 (2006). MSC: 60K15 60J27 PDFBibTeX XMLCite \textit{Ya. M. Chabanyuk}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2006, No. 5, 23--30 (2006; Zbl 1097.60071)
Chabanyuk, Ya. M. The asymptotic normality of continuous procedures of stochastic approximation in Markov environments. (Ukrainian. English summary) Zbl 1089.62098 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2005, No. 11, 29-34 (2005). MSC: 62L20 60F99 60J25 90C59 PDFBibTeX XMLCite \textit{Ya. M. Chabanyuk}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2005, No. 11, 29--34 (2005; Zbl 1089.62098)
Chabanyuk, Ya. M. Stochastic approximation procedure in an ergodic Markov environment. (Ukrainian. English summary) Zbl 1051.60074 Mat. Stud. 21, No. 1, 81-86 (2004). MSC: 60J10 PDFBibTeX XMLCite \textit{Ya. M. Chabanyuk}, Mat. Stud. 21, No. 1, 81--86 (2004; Zbl 1051.60074)
Korolyuk, V. S.; Chabanyuk, Ya. M. Stability of a dynamical system with semi-Markov switchings under conditions of stability of the averaged system. (English. Russian original) Zbl 1006.60090 Ukr. Math. J. 54, No. 2, 239-252 (2002); translation from Ukr. Mat. Zh. 54, No. 2, 195-204 (2002). Reviewer: R.E.Maiboroda (Kyïv) MSC: 60K15 34D20 PDFBibTeX XMLCite \textit{V. S. Korolyuk} and \textit{Ya. M. Chabanyuk}, Ukr. Mat. Zh. 54, No. 2, 195--204 (2002; Zbl 1006.60090); translation from Ukr. Mat. Zh. 54, No. 2, 195--204 (2002) Full Text: DOI
Chabanyuk, Ya. M. Discrete stochastic approximation procedure in the scheme of diffusion averaging. (Ukrainian. English summary) Zbl 0985.60073 Mat. Stud. 14, No. 2, 202-212 (2000). MSC: 60J10 PDFBibTeX XMLCite \textit{Ya. M. Chabanyuk}, Mat. Stud. 14, No. 2, 202--212 (2000; Zbl 0985.60073)
Chabanyuk, Yaroslav Discrete stochastic procedure in Markov accidental environment. (Ukrainian. English summary) Zbl 0981.65011 Visn. L’viv. Univ., Ser. Mekh.-Mat. 56, 179-184 (2000). MSC: 65C40 60J22 PDFBibTeX XMLCite \textit{Y. Chabanyuk}, Visn. L'viv. Univ., Ser. Mekh.-Mat. 56, 179--184 (2000; Zbl 0981.65011)