Kulinich, Grigorij; Kushnirenko, Svitlana; Mishura, Yuliya Asymptotic analysis of unstable solutions of stochastic differential equations. (English) Zbl 1456.60002 Bocconi & Springer Series 9. Milano: Bocconi University Press; Cham: Springer (ISBN 978-3-030-41290-6/hbk; 978-3-030-41293-7/pbk; 978-3-030-41291-3/ebook). xv, 240 p. (2020). Reviewer: Jordan M. Stoyanov (Sofia) MSC: 60-02 60H10 60H20 93E99 PDFBibTeX XMLCite \textit{G. Kulinich} et al., Asymptotic analysis of unstable solutions of stochastic differential equations. Milano: Bocconi University Press; Cham: Springer (2020; Zbl 1456.60002) Full Text: DOI
Zimin, O. I.; Kulinich, G. L. About asymptotic behaviour of the mathematical expectation of the total energy of the harmonic oscillator with random perturbation. (Ukrainian. English summary) Zbl 1438.34205 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2018, No. 3, 47-52 (2018). MSC: 34F05 34C15 60H10 34D05 PDFBibTeX XMLCite \textit{O. I. Zimin} and \textit{G. L. Kulinich}, Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2018, No. 3, 47--52 (2018; Zbl 1438.34205)
Kulinich, G. L.; Kushnirenko, S. V.; Mishura, Yu. S. Weak convergence of integral functionals constructed from solutions of Itô’s stochastic differential equations with non-regular dependence on a parameter. (English. Ukrainian original) Zbl 1402.60073 Theory Probab. Math. Stat. 96, 111-125 (2018); translation from Teor. Jmovirn. Mat. Stat. 96, 110-124 (2016). MSC: 60H10 60F17 60J60 PDFBibTeX XMLCite \textit{G. L. Kulinich} et al., Theory Probab. Math. Stat. 96, 111--125 (2018; Zbl 1402.60073); translation from Teor. Jmovirn. Mat. Stat. 96, 110--124 (2016) Full Text: DOI
Kulinich, Grigorij; Kushnirenko, Svitlana Asymptotic behavior of functionals of the solutions to inhomogeneous Itô stochastic differential equations with nonregular dependence on parameter. (English) Zbl 1386.60203 Mod. Stoch., Theory Appl. 4, No. 3, 199-217 (2017). MSC: 60H10 60F17 60J60 PDFBibTeX XMLCite \textit{G. Kulinich} and \textit{S. Kushnirenko}, Mod. Stoch., Theory Appl. 4, No. 3, 199--217 (2017; Zbl 1386.60203) Full Text: DOI arXiv
Kulinich, Grigorij; Kushnirenko, Svitlana; Mishura, Yuliia Asymptotic behavior of homogeneous additive functionals of the solutions of Itô stochastic differential equations with nonregular dependence on parameter. (English) Zbl 1352.60049 Mod. Stoch., Theory Appl. 3, No. 2, 191-208 (2016). MSC: 60F17 60H10 60J55 60J60 PDFBibTeX XMLCite \textit{G. Kulinich} et al., Mod. Stoch., Theory Appl. 3, No. 2, 191--208 (2016; Zbl 1352.60049) Full Text: DOI arXiv
Kulinich, G. L.; Kushnirenko, S. V.; Mishura, Yu. S. Limit behavior of functionals of solutions of diffusion type equations. (English. Ukrainian original) Zbl 1345.60029 Theory Probab. Math. Stat. 92, 93-107 (2016); translation from Teor. Jmovirn. Mat. Stat. 92, 89-102 (2015). MSC: 60F17 60F05 60H10 60J60 PDFBibTeX XMLCite \textit{G. L. Kulinich} et al., Theory Probab. Math. Stat. 92, 93--107 (2016; Zbl 1345.60029); translation from Teor. Jmovirn. Mat. Stat. 92, 89--102 (2015) Full Text: DOI
Kulinich, G. L.; Kushnirenko, S. V.; Mishura, Yu. S. Asymptotic behavior of the martingale type integral functionals for unstable solutions to stochastic differential equations. (English. Ukrainian original) Zbl 1322.60091 Theory Probab. Math. Stat. 90, 115-126 (2015); translation from Teor. Jmovirn. Mat. Stat. 90, 102–112 (2014). MSC: 60H10 60F17 60G48 PDFBibTeX XMLCite \textit{G. L. Kulinich} et al., Theory Probab. Math. Stat. 90, 115--126 (2015; Zbl 1322.60091); translation from Teor. Jmovirn. Mat. Stat. 90, 102--112 (2014) Full Text: DOI
Kulinich, G. L.; Kushnirenko, S. V.; Mishura, Yu. S. Asymptotic behavior of integral functionals of unstable solutions of one-dimensional Itô stochastic differential equations. (English) Zbl 1322.60090 Theory Probab. Math. Stat. 89, 101-114 (2014); translation from Teor. Jmovirn. Mat. Stat. 89, 91–103 (2013). MSC: 60H10 60F17 60J60 PDFBibTeX XMLCite \textit{G. L. Kulinich} et al., Theory Probab. Math. Stat. 89, 101--114 (2014; Zbl 1322.60090); translation from Teor. Jmovirn. Mat. Stat. 89, 91--103 (2013) Full Text: DOI
Kulinich, G.; Kushnirenko, S. Strong uniqueness of solutions of stochastic differential equations with jumps and non-Lipschitz random coefficients. (English) Zbl 1309.60061 Mod. Stoch., Theory Appl. 1, No. 1, 65-72 (2014). Reviewer: Nikolaos Halidias (Athens) MSC: 60H10 60G44 60G57 PDFBibTeX XMLCite \textit{G. Kulinich} and \textit{S. Kushnirenko}, Mod. Stoch., Theory Appl. 1, No. 1, 65--72 (2014; Zbl 1309.60061) Full Text: DOI OA License
Korolyuk, V. S.; Zakuzylo, O. K.; Gorodnij, M. F.; Kartashov, M. V.; Kozachenko, Yu. V.; Kulinich, G. L.; Mishura, Yu. S.; Moklyachuk, M. P.; Radchenko, V. M.; Vyshens’kyj, V. A. Anatolij Volodymyrovych Skorokhod (10.09.1930–03.01.2011). (Ukrainian) Zbl 1249.01028 Visn., Mat. Mekh., Kyïv. Univ. Im. Tarasa Shevchenka 2011, No. 26, 62-63 (2011). MSC: 01A70 60-03 62-03 PDFBibTeX XMLCite \textit{V. S. Korolyuk} et al., Visn., Mat. Mekh., Kyïv. Univ. Im. Tarasa Shevchenka 2011, No. 26, 62--63 (2011; Zbl 1249.01028)
Samojlenko, A. M.; Vyshens’kyj, V. A.; Kyrychenko, V. V.; Kozachenko, Yu. V.; Kulinich, G. L.; Nagornyj, V. N.; Plakhotnyk, V. V.; Shevchuk, I. O.; Parasyuk, I. O.; Kapudtyan, O. V.; Gorodnij, M. F.; Meleshko, V. V.; Stanzhyts’kyj, O. M.; Samojlenko, V. G. To the 65 anniversary from the date of Mykola Oleksijovych Perestyuk birth. (Ukrainian. English summary) Zbl 1249.01032 Visn., Mat. Mekh., Kyïv. Univ. Im. Tarasa Shevchenka 2011, No. 25, 61 (2011). MSC: 01A70 34-03 PDFBibTeX XMLCite \textit{A. M. Samojlenko} et al., Visn., Mat. Mekh., Kyïv. Univ. Im. Tarasa Shevchenka 2011, No. 25, 61 (2011; Zbl 1249.01032)
Kulinich, H. L.; Kurovs’kyi, D. Yu.; Petrusenko, D. V. Asymptotic analysis of the mathematical expectation of the total energy of a harmonic oscillator under random pulse perturbation. (English. Ukrainian original) Zbl 1277.60073 Nonlinear Oscil., N.Y. 12, No. 3, 305-313 (2009); translation from Nelinijni Kolyvannya 12, No. 3, 299-306 (2009). MSC: 60G35 60H10 34D10 PDFBibTeX XMLCite \textit{H. L. Kulinich} et al., Nonlinear Oscil., N.Y. 12, No. 3, 305--313 (2009; Zbl 1277.60073); translation from Nelinijni Kolyvannya 12, No. 3, 299--306 (2009) Full Text: DOI
Kulinich, G. L.; Yershov, A. V. Convergence of a sequence of Markov chains to a diffusion type process. (Ukrainian, English) Zbl 1224.60174 Teor. Jmovirn. Mat. Stat. 78, 103-118 (2008); translation in Theory Probab. Math. Stat. 78, 115-131 (2009). Reviewer: Mikhail P. Moklyachuk (Kyïv) MSC: 60J10 60H10 60F05 47A50 47D06 PDFBibTeX XMLCite \textit{G. L. Kulinich} and \textit{A. V. Yershov}, Teor. Ĭmovirn. Mat. Stat. 78, 103--118 (2008; Zbl 1224.60174); translation in Theory Probab. Math. Stat. 78, 115--131 (2009) Full Text: DOI
Kulinich, G. L.; Kushnirenko, S. V. The first integrals for systems of stochastic differential equations with jumps. (Ukrainian, English) Zbl 1199.60215 Teor. Jmovirn. Mat. Stat. 76, 84-91 (2007); translation in Theory Probab. Math. Stat. 76, 93-101 (2008). Reviewer: Mikhail P. Moklyachuk (Kyïv) MSC: 60H10 PDFBibTeX XMLCite \textit{G. L. Kulinich} and \textit{S. V. Kushnirenko}, Teor. Ĭmovirn. Mat. Stat. 76, 84--91 (2007; Zbl 1199.60215); translation in Theory Probab. Math. Stat. 76, 93--101 (2008) Full Text: DOI
Kulinich, H. L.; Ershov, A. V. On stability of sets for sequences of random polygonal lines. (English. Ukrainian original) Zbl 1262.60013 Nonlinear Oscil., N.Y. 9, No. 3, 346-357 (2006); translation from Nelinijni Kolyvannya 9, No. 3, 356-367 (2006). MSC: 60D05 PDFBibTeX XMLCite \textit{H. L. Kulinich} and \textit{A. V. Ershov}, Nonlinear Oscil., N.Y. 9, No. 3, 346--357 (2006; Zbl 1262.60013); translation from Nelinijni Kolyvannya 9, No. 3, 356--367 (2006) Full Text: DOI
Kulinich, G. L.; Kushnirenko, S. V. Invariant sets of systems of stochastic differential equations with jumps. (Ukrainian) Zbl 1107.60034 Nelinijni Kolyvannya 8, No. 2, 234-240 (2005). Reviewer: R. K. Azimov (Andizhan) MSC: 60H10 PDFBibTeX XMLCite \textit{G. L. Kulinich} and \textit{S. V. Kushnirenko}, Neliniĭni Kolyvannya 8, No. 2, 234--240 (2005; Zbl 1107.60034) Full Text: DOI
Kulinich, G. L.; Kushnirenko, S. V. On the stabilization of a solution of the Cauchy problem for a class of integro-differential equations. (Ukrainian, English) Zbl 1075.60083 Ukr. Mat. Zh. 56, No. 12, 1699-1706 (2004); translation in Ukr. Math. J. 56, No. 12, 2007-2016 (2004). Reviewer: A. N. Kochubei (Kyïv) MSC: 60H30 35K99 45K05 60J35 PDFBibTeX XMLCite \textit{G. L. Kulinich} and \textit{S. V. Kushnirenko}, Ukr. Mat. Zh. 56, No. 12, 1699--1706 (2004; Zbl 1075.60083); translation in Ukr. Math. J. 56, No. 12, 2007--2016 (2004) Full Text: DOI
Kulinich, G. L.; Pereguda, O. V. Invariant sets of Itô’s stochastic differential equations. Textbook. (Invariantni mnozhyny stokhastychnykh differentsial’nyck rivnyan’ Ito. Navchal’nyj posibnyk.) (Ukrainian) Zbl 1019.60002 Kyïv: Vydavnycho-Poligrafichnyj Tsentr, Kyïvskyj Universytet. 91 p. (2002). Reviewer: Mikhail P.Moklyachuk (Kyïv) MSC: 60-01 60H15 58J65 34F05 34C15 PDFBibTeX XMLCite \textit{G. L. Kulinich} and \textit{O. V. Pereguda}, Invariantni mnozhyny stokhastychnykh differentsial'nyck rivnyan' Ito. Navchal'nyj posibnyk (Ukrainian). Kyïv: Vydavnycho-Poligrafichnyj Tsentr, Kyïvskyj Universytet (2002; Zbl 1019.60002)
Kulinich, G. L.; Bernats’ka, Yu. V. On stabilization of energy of a conservative system perturbed by a random “white noise” type process in the Itô form. (English. Ukrainian original) Zbl 0998.60060 Ukr. Math. J. 53, No. 10, 1738-1746 (2001); translation from Ukr. Mat. Zh. 53, No. 10, 1429-1435 (2001). MSC: 60H10 PDFBibTeX XMLCite \textit{G. L. Kulinich} and \textit{Yu. V. Bernats'ka}, Ukr. Mat. Zh. 53, No. 10, 1429--1435 (2001; Zbl 0998.60060); translation from Ukr. Mat. Zh. 53, No. 10, 1429--1435 (2001) Full Text: DOI
Kulinich, G. L.; Kushnirenko, S. V. Invariant sets for systems of stochastic differential equations without aftereffect. (English. Ukrainian original) Zbl 0990.60060 Theory Probab. Math. Stat. 63, 123-130 (2001); translation from Teor. Jmovirn. Mat. Stat. 63, 112-118 (2000). Reviewer: A.D.Borisenko (Kyïv) MSC: 60H10 PDFBibTeX XMLCite \textit{G. L. Kulinich} and \textit{S. V. Kushnirenko}, Teor. Ĭmovirn. Mat. Stat. 63, 112--118 (2000; Zbl 0990.60060); translation from Teor. Jmovirn. Mat. Stat. 63, 112--118 (2000)
Kulinich, G. L.; Bernatskaya, Yu. V. On the phase portrait of a harmonic oscillator with friction perturbed by a random process of white noise type. (English. Russian original) Zbl 1002.34049 Math. Notes 68, No. 6, 730-736 (2000); translation from Mat. Zametki 68, No. 6, 862-869 (2000). MSC: 34F05 34C15 PDFBibTeX XMLCite \textit{G. L. Kulinich} and \textit{Yu. V. Bernatskaya}, Math. Notes 68, No. 6, 730--736 (2000; Zbl 1002.34049); translation from Mat. Zametki 68, No. 6, 862--869 (2000) Full Text: DOI
Kulinich, Grigori L.; Almazov, Murad On convergence of solutions of stochastic diffusion equations with unlimited increasing drift coefficients on finite segments. (English) Zbl 0971.60060 Korolyuk, V. (ed.) et al., Skorokhod’s ideas in probability theory. Kyïv: Institute of Mathematics of NAS of Ukraine. Proc. Inst. Math. Natl. Acad. Sci. Ukr., Math. Appl. 32, 241-247 (2000). Reviewer: A.V.Swishchuk (Kyïv) MSC: 60H10 60F05 34F05 PDFBibTeX XMLCite \textit{G. L. Kulinich} and \textit{M. Almazov}, in: Skorokhod's ideas in probability theory. Kyïv: Institute of Mathematics of NAS of Ukraine. 241--247 (2000; Zbl 0971.60060)
Kulinich, G. L.; Pereguda, O. V. Qualitative analysis of systems of Itô stochastic differential equations. (English. Ukrainian original) Zbl 0971.60063 Ukr. Math. J. 52, No. 9, 1432-1438 (2000); translation from Ukr. Mat. Zh. 52, No. 9, 1251-1256 (2000). Reviewer: A.V.Swishchuk (Kyïv) MSC: 60H10 60J65 60J60 PDFBibTeX XMLCite \textit{G. L. Kulinich} and \textit{O. V. Pereguda}, Ukr. Mat. Zh. 52, No. 9, 1251--1256 (2000; Zbl 0971.60063); translation from Ukr. Mat. Zh. 52, No. 9, 1251--1256 (2000) Full Text: DOI
Kulinich, Grigori L.; Kushnirenko, Svitlana V. On the stabilization of the energy of a harmonic oscillator disturbed by random processes of the “white and shot noises” types. (English) Zbl 0955.60063 J. Appl. Math. Stochastic Anal. 13, No. 1, 25-31 (2000). MSC: 60H10 PDFBibTeX XMLCite \textit{G. L. Kulinich} and \textit{S. V. Kushnirenko}, J. Appl. Math. Stochastic Anal. 13, No. 1, 25--31 (2000; Zbl 0955.60063) Full Text: DOI EuDML
Kulinich, Grigorij L.; Kaskun, Eugenij P. On the asymptotic behavior of solutions of one-dimensional Itô’s stochastic differential equations with singular points. (English) Zbl 0941.60072 Theory Stoch. Process. 4(20), No. 1-2, 189-197 (1998). Reviewer: Yu.V.Kozachenko (Kyïv) MSC: 60H10 60J60 PDFBibTeX XMLCite \textit{G. L. Kulinich} and \textit{E. P. Kaskun}, Theory Stoch. Process. 4(20), No. 1--2, 189--197 (1998; Zbl 0941.60072)
Kulinich, G. L. Qualitative analysis of the behavior of a harmonic oscillator under the action of white or shot noises. (English. Ukrainian original) Zbl 0940.60083 Theory Probab. Math. Stat. 58, 89-99 (1999); translation from Teor. Jmovirn. Mat. Stat. 58, 81-91 (1998). Reviewer: Yu.V.Kozachenko (Kyïv) MSC: 60H10 60J65 PDFBibTeX XMLCite \textit{G. L. Kulinich}, Teor. Ĭmovirn. Mat. Stat. 58, 81--91 (1998; Zbl 0940.60083); translation from Teor. Jmovirn. Mat. Stat. 58, 81--91 (1998)
Kulinich, G. L. Qualitative analysis for influence on harmonic oscillator with friction. (Ukrainian) Zbl 0941.60074 Ukr. Mat. Zh. 49, No. 1, 35-46 (1997). Reviewer: A.V.Swishchuk (Kyïv) MSC: 60H10 34D05 34F05 34D10 PDFBibTeX XMLCite \textit{G. L. Kulinich}, Ukr. Mat. Zh. 49, No. 1, 35--46 (1997; Zbl 0941.60074) Full Text: DOI
Kulinich, G. L. Qualitative analysis of the influence of random perturbations of “white noise” type applied along the vector of phase velocity on a harmonic oscillator with friction. (English. Russian original) Zbl 0939.34032 Ukr. Math. J. 49, No. 1, 36-50 (1997); translation from Ukr. Mat. Zh. 49, No. 1, 35-46 (1997). MSC: 34C15 34F05 60H10 70K40 70L05 PDFBibTeX XMLCite \textit{G. L. Kulinich}, Ukr. Mat. Zh. 49, No. 1, 1 (1997; Zbl 0939.34032); translation from Ukr. Mat. Zh. 49, No. 1, 35--46 (1997) Full Text: DOI
Kulinich, G. L. On invariant sets of the second-order systems of stochastic Itô’s equations. (Russian) Zbl 0935.60031 Dopov. Akad. Nauk Ukr. 1997, No. 10, 35-39 (1997). MSC: 60H10 PDFBibTeX XMLCite \textit{G. L. Kulinich}, Dopov. Akad. Nauk Ukr. 1997, No. 10, 35--39 (1997; Zbl 0935.60031)
Kulinich, G. L.; Kas’kun, E. P. On the asymptotic behavior of solutions of a certain class of one-dimensional Itô stochastic differential equations. (English. Ukrainian original) Zbl 0923.60072 Theory Probab. Math. Stat. 56, 97-105 (1998); translation from Teor. Jmovirn. Mat. Stat. 56, 96-104 (1997). Reviewer: A.Ya.Olenko (Kyïv) MSC: 60H10 PDFBibTeX XMLCite \textit{G. L. Kulinich} and \textit{E. P. Kas'kun}, Teor. Ĭmovirn. Mat. Stat. 56, 96--104 (1997; Zbl 0923.60072); translation from Teor. Jmovirn. Mat. Stat. 56, 96--104 (1997)
Kulinich, G. L. Qualitative analysis of the influence of random perturbations on the phase velocity of the harmonic oscillator. (English) Zbl 0829.60051 Random Oper. Stoch. Equ. 3, No. 2, 141-152 (1995). MSC: 60H10 PDFBibTeX XMLCite \textit{G. L. Kulinich}, Random Oper. Stoch. Equ. 3, No. 2, 141--152 (1995; Zbl 0829.60051) Full Text: DOI
Kulinich, G. L. On the limiting behavior of a harmonic oscillator with random external disturbance. (English) Zbl 0828.60039 J. Appl. Math. Stochastic Anal. 8, No. 3, 265-274 (1995). MSC: 60H10 PDFBibTeX XMLCite \textit{G. L. Kulinich}, J. Appl. Math. Stochastic Anal. 8, No. 3, 265--274 (1995; Zbl 0828.60039) Full Text: DOI EuDML
Kulinich, G. On necessary and sufficient conditions for convergence of homogeneous additive functionals of diffusion processes. (English) Zbl 1029.60516 Àrato, M. (ed.) et al., New trends in probability and mathematical statistics. Proceedings of the second Ukrainian-Hungarian conference, Mukachevo, Ukraine, September 25-October 1, 1992. Kiev: TViMS. Teor. Veroyatn. Mat. Stat./Probab. Theory Math. Stat. 2, 381-390 (1995). Reviewer: A.D.Borisenko (Kyïv) MSC: 60H10 60J60 PDFBibTeX XMLCite \textit{G. Kulinich}, in: New trends in probability and mathematical statistics. Proceedings of the second Ukrainian-Hungarian conference, Mukachevo, Ukraine, September 25--October 1, 1992. Kiev: TViMS. 381--390 (1995; Zbl 1029.60516)
Kulinich, G. L.; Munbayeva, M. U. Limit behavior of Cauchy problem solution of parabolic equation. (English) Zbl 0847.35010 Random Oper. Stoch. Equ. 2, No. 3, 225-234 (1994). Reviewer: I.Aganović (Zagreb) MSC: 35B25 35K20 PDFBibTeX XMLCite \textit{G. L. Kulinich} and \textit{M. U. Munbayeva}, Random Oper. Stoch. Equ. 2, No. 3, 225--234 (1994; Zbl 0847.35010) Full Text: DOI
Kulinich, G. L.; Kharkova, M. V. Limit theorems for stochastic differential equations without after-effect. (English. Russian original) Zbl 0971.60501 Theory Probab. Appl. 40, No. 3, 469-483 (1995); translation from Teor. Veroyatn. Primen. 40, No. 3, 523-541 (1993). MSC: 60H10 PDFBibTeX XMLCite \textit{G. L. Kulinich} and \textit{M. V. Kharkova}, Teor. Veroyatn. Primen. 40, No. 3, 523--541 (1993; Zbl 0971.60501); translation from Teor. Veroyatn. Primen. 40, No. 3, 523--541 (1993)
Kulinich, G. L.; Denisova, J. Yu. Behaviour of a solution of a system of stochastic differential equations. (English) Zbl 0842.60055 Random Oper. Stoch. Equ. 1, No. 1, 23-28 (1993). MSC: 60H10 PDFBibTeX XMLCite \textit{G. L. Kulinich} and \textit{J. Yu. Denisova}, Random Oper. Stoch. Equ. 1, No. 1, 23--28 (1993; Zbl 0842.60055) Full Text: DOI
Kulinich, G. L.; Mynbaeva, M. U. Space average of parabolic equations. (English. Russian original) Zbl 0782.35028 Ukr. Math. J. 44, No. 4, 501-504 (1992); translation from Ukr. Mat. Zh. 44, No. 4, 561-564 (1992). MSC: 35K15 PDFBibTeX XMLCite \textit{G. L. Kulinich} and \textit{M. U. Mynbaeva}, Ukr. Math. J. 44, No. 4, 501--504 (1992; Zbl 0782.35028); translation from Ukr. Mat. Zh. 44, No. 4, 561--564 (1992) Full Text: DOI
Kulinich, G. L.; Mynbaeva, M. U. On space averaging of parabolic equations. (Russian) Zbl 0754.35050 Ukr. Mat. Zh. 44, No. 4, 561-564 (1992). Reviewer: P.Chocholatý (Bratislava) MSC: 35K15 PDFBibTeX XMLCite \textit{G. L. Kulinich} and \textit{M. U. Mynbaeva}, Ukr. Mat. Zh. 44, No. 4, 561--564 (1992; Zbl 0754.35050) Full Text: DOI
Almazov, M.; Kulinich, G. L. On the asymptotic behavior of an unstable solution of an inhomogeneous stochastic diffusion equation. (English. Russian original) Zbl 0724.60067 J. Sov. Math. 53, No. 4, 345-352 (1991). MSC: 60H10 PDFBibTeX XMLCite \textit{M. Almazov} and \textit{G. L. Kulinich}, J. Sov. Math. 53, No. 4, 345--352 (1991; Zbl 0724.60067) Full Text: DOI
Kulinich, G. L.; Kharkova, M. V. On asymptotic behaviour of solutions of systems of stochastic diffusion equations in case of irregular dependence of coefficients on a parameter. (Russian. English summary) Zbl 0715.60071 Dokl. Akad. Nauk Ukr. SSR, Ser. A 1990, No. 6, 19-22 (1990). Reviewer: A.Yu.Veretennikov MSC: 60H10 PDFBibTeX XMLCite \textit{G. L. Kulinich} and \textit{M. V. Kharkova}, Dokl. Akad. Nauk Ukr. SSR, Ser. A 1990, No. 6, 19--22 (1990; Zbl 0715.60071)
Almazov, M.; Kulinich, G. L. Limit theorems for one-dimensional nonhomogeneous stochastic diffusion equations under irregular dependence of the coefficients on a parameter. (English. Russian original) Zbl 0715.60070 Ukr. Math. J. 42, No. 4, 383-390 (1990); translation from Ukr. Mat. Zh. 42, No. 4, 435-443 (1990). MSC: 60H10 PDFBibTeX XMLCite \textit{M. Almazov} and \textit{G. L. Kulinich}, Ukr. Math. J. 42, No. 4, 383--390 (1990; Zbl 0715.60070); translation from Ukr. Mat. Zh. 42, No. 4, 435--443 (1990) Full Text: DOI
Kulinich, G. L. Asymptotic analysis of solutions of one-dimensional K. Ito stochastic diffusion equations. (Russian) Zbl 0708.60054 Statistics and control of stochastic processes, Collect. Artic., Moskva, 102-105 (1989). Reviewer: St.Wedrychowicz MSC: 60H10 PDFBibTeX XML
Almazov, M.; Kulinich, G. L. Asymptotic behaviour of an unstable solution of the non-homogeneous stochastic diffusion equation. (Russian) Zbl 0683.60038 Teor. Sluch. Protsess. 15, 3-10 (1987). Reviewer: Tetsushi Sasagawa (Tokyo) MSC: 60H10 PDFBibTeX XMLCite \textit{M. Almazov} and \textit{G. L. Kulinich}, Teor. Sluch. Protsess. 15, 3--10 (1987; Zbl 0683.60038)
Divnich, N. T.; Kulinich, G. L. On limit behaviour of the solution of the Cauchy problem for parabolic equations with random right side. (Russian) Zbl 0623.60080 Teor. Sluchajnykh Protsessov 13, 25-28 (1985). Reviewer: R.Mikulevičius MSC: 60H15 60F05 PDFBibTeX XMLCite \textit{N. T. Divnich} and \textit{G. L. Kulinich}, Teor. Sluch. Protsess. 13, 25--28 (1985; Zbl 0623.60080)
Kulinich, G. L. On the law of the iterated logarithm for one-dimensional diffusion processes. (English) Zbl 0601.60056 Theory Probab. Appl. 29, 563-566 (1985). MSC: 60H10 60J60 60F15 PDFBibTeX XMLCite \textit{G. L. Kulinich}, Theory Probab. Appl. 29, 563--566 (1985; Zbl 0601.60056) Full Text: DOI
Kulinich, G. L. On the law of iterated logarithm for one-dimensional diffusion processes. (Russian) Zbl 0561.60062 Teor. Veroyatn. Primen. 29, No. 3, 544-547 (1984). Reviewer: Sh.W.He MSC: 60H10 60J60 60F15 PDFBibTeX XMLCite \textit{G. L. Kulinich}, Teor. Veroyatn. Primen. 29, No. 3, 544--547 (1984; Zbl 0561.60062)
Kulinich, G. L.; Petrov, I. B. On the limit behavior of the absolute value of some of the components of a system of Itô stochastic diffusion equations. (English) Zbl 0538.60060 Theory Probab. Math. Stat. 28, 79-87 (1984). MSC: 60H10 60F15 60G17 PDFBibTeX XMLCite \textit{G. L. Kulinich} and \textit{I. B. Petrov}, Theory Probab. Math. Stat. 28, 79--87 (1984; Zbl 0538.60060)
Kulinich, G. L. Limit behaviour of solutions of stochastic diffusion equations when the convergence of the coefficients is non-regular. (English) Zbl 0529.60057 Probability theory and mathematical statistics, Proc. 4th USSR - Jap. Symp., Tbilisi/USSR 1982, Lect. Notes Math. 1021, 352-354 (1983). MSC: 60H10 60F99 34K25 60B10 PDFBibTeX XML
Kulinich, G. L.; Petrov, I. B. On the limit behaviour of the modulus of a part of components for a system of Ito’s stochastic diffusion equations. (Russian) Zbl 0521.60068 Teor. Veroyatn. Mat. Stat. 28, 70-78 (1983). MSC: 60H10 60G17 PDFBibTeX XML
Kulinich, G. L. Limit behavior of a random harmonic oscillator. (Ukrainian) Zbl 0900.70363 Vīsn. Kiïv. Unīv., Mat. Mekh. 25, 128-138 (1983). MSC: 70L05 34F05 60H10 PDFBibTeX XMLCite \textit{G. L. Kulinich}, Visn. Kyïv. Univ., Mat. Mekh. 25, 128--138 (1983; Zbl 0900.70363)
Kulinich, G. L. On necessary and sufficient conditions for convergence of solutions to one-dimensional stochastic diffusion equations with a nonregular dependence of the coefficients on a parameter. (English) Zbl 0522.60059 Theory Probab. Appl. 27, 856-862 (1982). MSC: 60H10 60J60 60J65 PDFBibTeX XMLCite \textit{G. L. Kulinich}, Theory Probab. Appl. 27, 856--862 (1982; Zbl 0522.60059) Full Text: DOI
Kulinich, G. L. On necessary and sufficient conditions for the convergence of solutions of one-dimensional diffusion stochastic equations with a non-regular dependence of coefficients on a parameter. (English) Zbl 0498.60063 Teor. Veroyatn. Primen. 27, No. 4, 795-802 (1982). MSC: 60H10 60J60 60J65 PDFBibTeX XMLCite \textit{G. L. Kulinich}, Teor. Veroyatn. Primen. 27, 795--802 (1982; Zbl 0498.60063)
Kulinich, G. L. Convergence of the solution of a one-dimensional stochastic diffusion equation to Bessel’s diffusion process. (Russian) Zbl 0484.60051 Analytical methods of investigation in probability theory, Collect. sci. Works, Kiev 1981, 106-113 (1981). MSC: 60H10 60H20 PDFBibTeX XML
Kulinich, G. L.; Le Thieng Huong On the construction and limit behavior of a multiple stochastic integral of a diffusion process. (English) Zbl 0461.60075 Theory Probab. Appl. 25, 597-604 (1981). MSC: 60H05 PDFBibTeX XMLCite \textit{G. L. Kulinich} and \textit{Le Thieng Huong}, Theory Probab. Appl. 25, 597--604 (1981; Zbl 0461.60075) Full Text: DOI
Kulinic, G. L. On the asymptotic behavior of the solution of the one-dimensional stochastic diffusion equation. (English) Zbl 0486.60053 Stochastic differential systems, Proc. IFIP-WG 7/1 Work. Conf., Vilnius/Lith. 1978, Lect. Notes Control Inf. Sci. 25, 334-343 (1980). MSC: 60H10 60J60 PDFBibTeX XML
Kulinich, G. L.; Le Thieng Huong On the construction and limit behaviour of a multiple stochastic integral for the diffusion process. (Russian) Zbl 0446.60040 Teor. Veroyatn. Primen. 25, 606-613 (1980). MSC: 60H05 PDFBibTeX XMLCite \textit{G. L. Kulinich} and \textit{Le Thieng Huong}, Teor. Veroyatn. Primen. 25, 606--613 (1980; Zbl 0446.60040)
Kulinich, G. L. Limit theorems for one-dimensional stochastic differential equations with nonregular dependence of the coefficients on a parameter. (English) Zbl 0451.60063 Theory Probab. Math. Stat. 15, 101-115 (1978). MSC: 60H10 60F05 60G44 PDFBibTeX XMLCite \textit{G. L. Kulinich}, Theory Probab. Math. Stat. 15, 101--115 (1978; Zbl 0451.60063)
Kulinic, G. L. Limit distributions for functionals of integral type of unstable diffusion processes. (English) Zbl 0394.60078 Theory Probab. Math. Stat. 11(1976), 82-86 (1978). MSC: 60J60 60F05 PDFBibTeX XMLCite \textit{G. L. Kulinic}, Theory Probab. Math. Stat. 11, 82--86 (1978; Zbl 0394.60078)
Kulinic, G. L. Some limit theorems for a sequence of Markov chains. (English) Zbl 0393.60068 Theory Probab. Math. Stat. 12(1976), 79-92 (1978). MSC: 60J10 60F05 60J60 PDFBibTeX XMLCite \textit{G. L. Kulinic}, Theory Probab. Math. Stat. 12, 79--92 (1978; Zbl 0393.60068)
Kulinich, G. L. On the limit behavior of functionals of the type \(\int_0^ t g(s,\xi(s))ds\) of diffusion processes. (English) Zbl 0451.60062 Theory Probab. Math. Stat. 14, 79-83 (1977). MSC: 60H10 60J60 60F05 34F05 35K15 PDFBibTeX XMLCite \textit{G. L. Kulinich}, Theory Probab. Math. Stat. 14, 79--83 (1977; Zbl 0451.60062)
Kulinic, G. L. On the limit behaviour of solutions of stochastic differential equations of diffusion type with random coefficients. (Russian) Zbl 0398.60061 Limit Theor. for Random Process., Akad. Nauk Ukr. SSR, Inst. Mat., 137-151 (1977). MSC: 60H10 93E99 PDFBibTeX XML
Kulinic, G. L. Some limit theorems for stochastic differential equations depending on a parameter. (English) Zbl 0394.60065 Theory Probab. Math. Stat. 9(1976), 127-138 (1977). MSC: 60H10 PDFBibTeX XMLCite \textit{G. L. Kulinic}, Theory Probab. Math. Stat. 9, 127--138 (1977; Zbl 0394.60065)
Kulinic, G. L. On the asymptotic behavior of the distributions of functionals of the form \(S^t_0g(\xi(s))ds\) for diffusion processes. (English) Zbl 0363.60037 Theor. Probab. math. Statist. 8(1973, 1975), 95-101 (1977). MSC: 60H10 60J70 PDFBibTeX XML
Koval’chuk, O. P.; Kulinic, G. L. On the asymptotic behaviour of distributions for functionals on the argument of the solution of two-dimensional system of linear stochastic diffusion equations. (Ukrainian) Zbl 0359.60086 Dopov. Akad. Nauk Ukr. RSR, Ser. A 1977, 689-693 (1977). MSC: 60H10 PDFBibTeX XMLCite \textit{O. P. Koval'chuk} and \textit{G. L. Kulinic}, Dopov. Akad. Nauk Ukr. RSR, Ser. A 1977, 689--693 (1977; Zbl 0359.60086)
Kulinic, G. L. On the limiting behavior of the solution of a system of stochastic differential equations without aftereffect. (English) Zbl 0359.60085 Theor. Probab. math. Statist. 7, (1972, 1975), 81-91 (1977). MSC: 60H10 60F99 PDFBibTeX XML
Kulinic, G. L. Limit theorems for the solutions of one-dimensional stochastic differential equations under non-regular dependence of coefficients from a parameter. (Russian) Zbl 0399.60050 Teor. Veroyatn. Mat. Stat. 15, 99-114 (1976). MSC: 60H10 60F99 PDFBibTeX XML
Kulinic, G. L. On limit behaviour of functional \(\int_0g(x,\xi (s))ds\) for diffusion processes. (Russian) Zbl 0398.60077 Teor. Veroyatn. Mat. Stat. 14, 74-79 (1976). MSC: 60J60 60H10 60F99 PDFBibTeX XML
Kulinic, G. L. On the asymptotic behavior of the distribution of the solution of a nonhomogeneous stochastic diffusion equation. (English) Zbl 0348.60114 Theor. Probab. math. Statist. 4 (1971, 1974), 87-94 (1976). MSC: 60J60 PDFBibTeX XML
Kulinič, G. L. The asymptotic behavior of the unstable solution of the one-dimensional stochastic diffusion equation. (English) Zbl 0348.60082 Theor. Probab. Math. Stat. 5 (1971, 1975), 83-89 (1976). MSC: 60H10 60J60 PDFBibTeX XML
Kulinic, G. L. On the estimation of the drift parameter of a stochastic diffusion equation. (English. Russian original) Zbl 0341.62070 Theory Probab. Appl. 20, 384-387 (1975); translation from Teor. Veroyatn. Primen. 20, 393-397 (1975). MSC: 62M05 60J60 PDFBibTeX XMLCite \textit{G. L. Kulinic}, Theory Probab. Appl. 20, 384--387 (1975; Zbl 0341.62070); translation from Teor. Veroyatn. Primen. 20, 393--397 (1975) Full Text: DOI
Kulinic, G. L. Einige Grenzwertsätze für eine Folge Markovscher Ketten. (Russian) Zbl 0326.60078 Teor. Veroyatn. Mat. Stat., Mezhvedomst. Nauchn. Sb. 12, 77-89 (1975). MSC: 60J10 60J60 60J55 PDFBibTeX XML
Kulinic, G. L. On existence and uniqueness of a solution of a stochastic differential equation with martingale differential. (English. Russian original) Zbl 0325.60053 Theory Probab. Appl. 19, 168-171 (1974); translation from Teor. Veroyatn. Primen. 19, 169-173 (1974). MSC: 60H05 60H20 PDFBibTeX XMLCite \textit{G. L. Kulinic}, Theory Probab. Appl. 19, 168--171 (1974; Zbl 0325.60053); translation from Teor. Veroyatn. Primen. 19, 169--173 (1974) Full Text: DOI
Kulinic, G. L. Asymptotic behavior of a solution of a first-order differential equation with random right side. (English) Zbl 0287.60064 Theor. Probab. math. Statist. 1(1970), 127-138 (1974). MSC: 60H10 34F05 60F05 PDFBibTeX XML
Kulinich, G. L. Limit distributions for functionals of integral type of unstable diffusion processes. (Russian) Zbl 0286.60034 Teor. Veroyatn. Mat. Stat. 11, 81-85 (1974). MSC: 60J60 60F99 PDFBibTeX XML
Kulinic, G. L. Über das asymptotische Verhalten der Verteilung von Funktionalen der Form \(\int\limits_0^t g( \xi (S))dS\) von Diffusionsprozessen. (Russian) Zbl 0292.60130 Teor. Veroyatn. Mat. Stat. 8, 99-105 (1973). MSC: 60J70 60H10 PDFBibTeX XML
Kulinich, G. L. Einige Grenzwertsätze für stochastische Differentialgleichungen, die von einem Parameter abhängen. (Russian) Zbl 0285.60046 Teor. Veroyatn. Mat. Stat. 9, 119-130 (1973). MSC: 60H10 PDFBibTeX XML
Kulinic, G. L. Über das Grenzverhalten der Lösung eines Systems von stochastischen Differentialgleichungen ohne Folgeerscheinung. (Russian) Zbl 0259.60025 Teor. Veroyatn. Mat. Stat. 7, 85-96 (1972). MSC: 60H10 60F99 PDFBibTeX XML
Kulinic, G. L. A limit theorem on the distribution of the solution of a stochastic differential equation. (English) Zbl 0256.60011 Sel. Transl. Math. Stat. Probab. 10, 54-58 (1972). MSC: 60H10 60F05 60G15 PDFBibTeX XMLCite \textit{G. L. Kulinic}, Sel. Transl. Math. Stat. Probab. 10, 54--58 (1972; Zbl 0256.60011)
Kulinic, G. L. Asymptotisches Verhalten der instabilen Lösung einer stochastischen homogenen Diffusionsgleichung. (Russian) Zbl 0244.60047 Teor. Veroyatn. Mat. Stat. 5, 81-87 (1971). MSC: 60H10 60J60 PDFBibTeX XML
Kulinich, G. L. On the asymptotic behavior of the distribution of the solution of a nonhomogeneous stochastic diffusion equation. (Russian) Zbl 0226.60096 Teor. Veroyatn. Mat. Stat. 4, 95-102 (1971). MSC: 60J60 60H10 PDFBibTeX XML
Kulinich, G. L. Asymptotisches Verhalten der Lösung einer Differentialgleichung erster Ordnung mit zufälliger rechter Seite. (Russian) Zbl 0214.17401 Teor. Veroyatn. Mat. Stat. 1, 128-140 (1970). MSC: 60H10 34F05 60F05 PDFBibTeX XML
Kulinich, G. L. The asymptotic normality of the solution of the stochastic diffusion equation. (English) Zbl 0206.18301 Ukr. Math. J. 20(1968), 344-347 (1969). MSC: 60H20 60H05 PDFBibTeX XMLCite \textit{G. L. Kulinich}, Ukr. Math. J. 20, 344--347 (1969; Zbl 0206.18301) Full Text: DOI
Kulinich, G. L. Limit theorem for the solution distribution of a stochastic differential equation. (Ukrainian) Zbl 0164.46801 Dopov. Akad. Nauk Ukr. RSR, Ser. A 1969, 118-121 (1969). PDFBibTeX XMLCite \textit{G. L. Kulinich}, Dopov. Akad. Nauk Ukr. RSR, Ser. A 1969, 118--121 (1969; Zbl 0164.46801)
Kulinich, G. L. Limit behavior of the distribution of the solution of a stochastic diffusion equation. (English) Zbl 0201.20702 Ukr. Math. J. 19(1967), 231-235 (1968). PDFBibTeX XMLCite \textit{G. L. Kulinich}, Ukr. Math. J. 19, 231--235 (1968; Zbl 0201.20702) Full Text: DOI
Kulinic, G. L. Asymptotische Normalität der Verteilung der Lösung einer stochastischen Diffusionsgleichung. (Russian) Zbl 0185.44404 Ukr. Mat. Zh. 20, 396-400 (1968). PDFBibTeX XMLCite \textit{G. L. Kulinic}, Ukr. Mat. Zh. 20, 396--400 (1968; Zbl 0185.44404)
Kulinich, G. L. Limit distributions of a solution of a stochastic diffusion equation. (English) Zbl 0177.21303 Theor. Probab. Appl. 13, 478-482 (1968). PDFBibTeX XMLCite \textit{G. L. Kulinich}, Theory Probab. Appl. 13, 478--482 (1968; Zbl 0177.21303) Full Text: DOI
Kulinich, G. L. Limit distributions of a solution of a stochastic diffusion equation. (Russian) Zbl 0165.19201 Teor. Veroyatn. Primen. 13, 502-506 (1968). PDFBibTeX XMLCite \textit{G. L. Kulinich}, Teor. Veroyatn. Primen. 13, 502--506 (1968; Zbl 0165.19201)
Kulinic, G. L. On the limit hehaviour of the distribution of the solution of a stochastic diffusion equation. (Russian) Zbl 0183.19802 Teor. Veroyatn. Primen. 12, 548-551 (1967). PDFBibTeX XMLCite \textit{G. L. Kulinic}, Teor. Veroyatn. Primen. 12, 548--551 (1967; Zbl 0183.19802)
Kulinich, G. L. Über das asymptotische Verhalten der Verteilungen der Lösung einer stochastischen Diffusionsgleichung. (Russian) Zbl 0178.19003 Ukr. Mat. Zh. 19, No. 2, 119-125 (1967). PDFBibTeX XMLCite \textit{G. L. Kulinich}, Ukr. Mat. Zh. 19, No. 2, 119--125 (1967; Zbl 0178.19003) Full Text: EuDML