Boiko, M. V.; Osypchuk, M. M. Perturbation of an isotropic \(\alpha \)-stable stochastic process by a pseudo-gradient with a generalized coefficient. (English) Zbl 07898617 Carpathian Math. Publ. 16, No. 1, 53-60 (2024). MSC: 60G52 35S05 60H10 60J35 PDFBibTeX XMLCite \textit{M. V. Boiko} and \textit{M. M. Osypchuk}, Carpathian Math. Publ. 16, No. 1, 53--60 (2024; Zbl 07898617) Full Text: DOI OA License
Kopytko, Bohdan; Osypchuk, Mykhailo; Shevchuk, Roman Diffusion in media with membranes and some nonlocal parabolic problems. (English) Zbl 07841466 Ukr. Math. J. 75, No. 11, 1641-1665 (2024); and Ukr. Mat. Zh. 75, No. 11, 1450-1472 (2023). MSC: 60J60 35Kxx 60Hxx PDFBibTeX XMLCite \textit{B. Kopytko} et al., Ukr. Math. J. 75, No. 11, 1641--1665 (2024; Zbl 07841466) Full Text: DOI
Mamalyha, Khrystyna; Osypchuk, Mykhailo On single-layer potentials, pseudo-gradients and a jump theorem for an isotropic \(\alpha\)-stable stochastic process. (English) Zbl 1528.60042 J. Pseudo-Differ. Oper. Appl. 15, No. 1, Paper No. 4, 12 p. (2024). MSC: 60G52 35S10 31B35 PDFBibTeX XMLCite \textit{K. Mamalyha} and \textit{M. Osypchuk}, J. Pseudo-Differ. Oper. Appl. 15, No. 1, Paper No. 4, 12 p. (2024; Zbl 1528.60042) Full Text: DOI
Osipchuk, Tetiana M. On conditions of local lineal convexity generalized to commutative algebras. (English) Zbl 07859820 Kähler, Uwe (ed.) et al., Analysis, applications, and computations. Proceedings of the 13th ISAAC congress, Ghent, Belgium, August 2–6, 2021. Cham: Birkhäuser. Trends Math., 307-317 (2023). MSC: 30G35 32F99 PDFBibTeX XMLCite \textit{T. M. Osipchuk}, in: Analysis, applications, and computations. Proceedings of the 13th ISAAC congress, Ghent, Belgium, August 2--6, 2021. Cham: Birkhäuser. 307--317 (2023; Zbl 07859820) Full Text: DOI
Osypchuk, M. M. Bilateral estimates of some pseudo-derivatives of the transition probability density of an isotropic \(\alpha \)-stable stochastic process. (English) Zbl 1532.35558 Carpathian Math. Publ. 15, No. 2, 381-387 (2023). MSC: 35S05 35R11 60G52 PDFBibTeX XMLCite \textit{M. M. Osypchuk}, Carpathian Math. Publ. 15, No. 2, 381--387 (2023; Zbl 1532.35558) Full Text: DOI arXiv OA License
Osipchuk, Tetiana M.; Tkachuk, Maksym V. On weakly 1-convex sets in the plane. (English) Zbl 1523.52011 Proc. Int. Geom. Cent. 16, No. 1, 42-49 (2023). MSC: 52A30 PDFBibTeX XMLCite \textit{T. M. Osipchuk} and \textit{M. V. Tkachuk}, Proc. Int. Geom. Cent. 16, No. 1, 42--49 (2023; Zbl 1523.52011) Full Text: DOI OA License
Osipchuk, Tetiana M. On lineal convexity generalized to Clifford algebras. (English) Zbl 1533.30004 Bull. Soc. Sci. Lett. Łódź, Sér. Rech. Déform., Article No. 5, 15 p. (2022). MSC: 30G35 32F99 PDFBibTeX XMLCite \textit{T. M. Osipchuk}, Bull. Soc. Sci. Lett. Łódź, Sér. Rech. Déform., Article No. 5, 15 p. (2022; Zbl 1533.30004) Full Text: DOI Link
Osipchuk, T. M. Topological and geometric properties of generalized convex sets and the shadow problem. (Ukrainian. English summary) Zbl 1538.32011 Zb. Pr. Inst. Mat. NAN Ukr. 19, No. 1, 153-171 (2022). MSC: 32F17 52A30 PDFBibTeX XMLCite \textit{T. M. Osipchuk}, Zb. Pr. Inst. Mat. NAN Ukr. 19, No. 1, 153--171 (2022; Zbl 1538.32011)
Osipchuk, Tetiana M. On closed weakly \(m\)-convex sets. (English) Zbl 1523.52010 Proc. Int. Geom. Cent. 15, No. 1, 50-65 (2022). MSC: 52A30 PDFBibTeX XMLCite \textit{T. M. Osipchuk}, Proc. Int. Geom. Cent. 15, No. 1, 50--65 (2022; Zbl 1523.52010) Full Text: DOI OA License
Osipchuk, T. M. Topological and geometric properties of the set of 1-nonconvexity points of a weakly 1-convex set in the plane. (English. Ukrainian original) Zbl 1496.52004 Ukr. Math. J. 73, No. 12, 1918-1936 (2022); translation from Ukr. Mat. Zh. 73, No. 12, 1657-1672 (2021). MSC: 52A10 52A01 52A20 PDFBibTeX XMLCite \textit{T. M. Osipchuk}, Ukr. Math. J. 73, No. 12, 1918--1936 (2022; Zbl 1496.52004); translation from Ukr. Mat. Zh. 73, No. 12, 1657--1672 (2021) Full Text: DOI
Osipchuk, Tetiana M. Topological properties of closed weakly \(m\)-semiconvex sets. (English) Zbl 1491.52007 J. Math. Sci., New York 260, No. 5, 678-692 (2022) and Ukr. Mat. Visn. 18, No. 4, 540-559 (2021). MSC: 52A20 52A07 PDFBibTeX XMLCite \textit{T. M. Osipchuk}, J. Math. Sci., New York 260, No. 5, 678--692 (2022; Zbl 1491.52007) Full Text: DOI arXiv
Mamalyha, Kh. V.; Osypchuk, M. M. Properties of single layer potentials for a pseudo-differential equation related to a linear transformation of a rotationally invariant stable stochastic process. (English) Zbl 1481.60090 Mat. Stud. 55, No. 1, 94-106 (2021). MSC: 60G52 35R60 PDFBibTeX XMLCite \textit{Kh. V. Mamalyha} and \textit{M. M. Osypchuk}, Mat. Stud. 55, No. 1, 94--106 (2021; Zbl 1481.60090) Full Text: DOI
Osypchuk, M. M.; Portenko, M. I. Pseudodifferential equations and \(\alpha\)-stable stochastic processes. (Ukrainian. English summary) Zbl 1488.60089 Zb. Pr. Inst. Mat. NAN Ukr. 17, No. 2, 283-337 (2020). MSC: 60G17 60G52 PDFBibTeX XMLCite \textit{M. M. Osypchuk} and \textit{M. I. Portenko}, Zb. Pr. Inst. Mat. NAN Ukr. 17, No. 2, 283--337 (2020; Zbl 1488.60089)
Osipchuk, T. M. On local linear convexity generalized to commutative algebras. arXiv:2009.13306 Preprint, arXiv:2009.13306 [math.CV] (2020). MSC: 32F17 52A30 BibTeX Cite \textit{T. M. Osipchuk}, ``On local linear convexity generalized to commutative algebras'', Preprint, arXiv:2009.13306 [math.CV] (2020) Full Text: arXiv OA License
Osipchuk, T. M. On semiconvex sets in the plane. arXiv:2002.03422 Preprint, arXiv:2002.03422 [math.MG] (2020). MSC: 32F17 52A30 BibTeX Cite \textit{T. M. Osipchuk}, ``On semiconvex sets in the plane'', Preprint, arXiv:2002.03422 [math.MG] (2020) Full Text: arXiv OA License
Osipchuk, Tetiana On semiconvexity of open sets with smooth boundary in the plane. (English) Zbl 1467.52006 Proc. Int. Geom. Cent. 12, No. 4, 69-88 (2019). Reviewer: Vitor Balestro (Niterói) MSC: 52A10 PDFBibTeX XMLCite \textit{T. Osipchuk}, Proc. Int. Geom. Cent. 12, No. 4, 69--88 (2019; Zbl 1467.52006) Full Text: DOI OA License
Mamalyha, Kh. V.; Osypchuk, M. M. On single-layer potentials for a class of pseudo-differential equations related to linear transformations of a symmetric \(\alpha \)-stable stochastic process. (English) Zbl 1456.60120 Carpathian Math. Publ. 11, No. 2, 350-360 (2019). MSC: 60G52 60J25 PDFBibTeX XMLCite \textit{Kh. V. Mamalyha} and \textit{M. M. Osypchuk}, Carpathian Math. Publ. 11, No. 2, 350--360 (2019; Zbl 1456.60120) Full Text: DOI OA License
Osipchuk, Tatiana M. On system of balls with equal radii generating shadow at a point. (English) Zbl 1538.52007 Bull. Soc. Sci. Lett. Łódź, Sér. Rech. Déform. 68, No. 2, 77-83 (2018). MSC: 52A20 PDFBibTeX XMLCite \textit{T. M. Osipchuk}, Bull. Soc. Sci. Lett. Łódź, Sér. Rech. Déform. 68, No. 2, 77--83 (2018; Zbl 1538.52007) Full Text: DOI
Osypchuk, M. M.; Portenko, M. I. On some Markov processes related to a symmetric \(\alpha\)-stable process. (English) Zbl 1498.60312 Stochastics 90, No. 7, 972-991 (2018). MSC: 60J25 60G50 60G52 PDFBibTeX XMLCite \textit{M. M. Osypchuk} and \textit{M. I. Portenko}, Stochastics 90, No. 7, 972--991 (2018; Zbl 1498.60312) Full Text: DOI
Osypchuk, M. M.; Portenko, M. I. On constructing a sticky membrane located on a given surface for a symmetric \(\alpha\)-stable process. (English) Zbl 1424.60067 Theory Stoch. Process. 23, No. 1, 66-72 (2018). MSC: 60G52 35S11 PDFBibTeX XMLCite \textit{M. M. Osypchuk} and \textit{M. I. Portenko}, Theory Stoch. Process. 23, No. 1, 66--72 (2018; Zbl 1424.60067) Full Text: Link
Osypchuk, M. M.; Portenko, M. I. On the distribution of a rotationally invariant \(\alpha\)-stable process at the hitting time of a given hyperplane. (English) Zbl 1424.60066 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2018, No. 12, 14-20 (2018). MSC: 60G52 PDFBibTeX XMLCite \textit{M. M. Osypchuk} and \textit{M. I. Portenko}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2018, No. 12, 14--20 (2018; Zbl 1424.60066) Full Text: DOI OA License
Osypchuk, M. M. On the crossings number of a hyperplane by a stable random process. (English) Zbl 1411.60056 Carpathian Math. Publ. 10, No. 2, 346-351 (2018). MSC: 60G17 60G52 PDFBibTeX XMLCite \textit{M. M. Osypchuk}, Carpathian Math. Publ. 10, No. 2, 346--351 (2018; Zbl 1411.60056) Full Text: DOI OA License
Osypchuk, M. M.; Portenko, M. I. On the third initial-boundary value problem for some class of pseudo-differential equations related to a symmetric \(\alpha\)-stable process. (English) Zbl 1402.35327 J. Pseudo-Differ. Oper. Appl. 9, No. 4, 811-835 (2018). MSC: 35S11 60G52 PDFBibTeX XMLCite \textit{M. M. Osypchuk} and \textit{M. I. Portenko}, J. Pseudo-Differ. Oper. Appl. 9, No. 4, 811--835 (2018; Zbl 1402.35327) Full Text: DOI
Osypchuk, M. M.; Portenko, M. I. Symmetric \(\alpha\)-stable stochastic process and the third initial-boundary-value problem for the corresponding pseudodifferential equation. (English. Ukrainian original) Zbl 1516.35585 Ukr. Math. J. 69, No. 10, 1631-1650 (2018); translation from Ukr. Mat. Zh. 69, No. 10, 1406-1421 (2017). MSC: 35S16 60G52 PDFBibTeX XMLCite \textit{M. M. Osypchuk} and \textit{M. I. Portenko}, Ukr. Math. J. 69, No. 10, 1631--1650 (2018; Zbl 1516.35585); translation from Ukr. Mat. Zh. 69, No. 10, 1406--1421 (2017) Full Text: DOI
Klishchuk, B. A.; Osipchuk, T. M.; Tkachuk, M. V.; Gryshchuk, S. V.; Bakhtin, O. K. Zelins’kyĭ Yuriĭ Borysovych: on the occasion of his 70th birthday. (Ukrainian) Zbl 1389.01014 Zb. Pr. Inst. Mat. NAN Ukr. 14, No. 1, 9-24 (2017). MSC: 01A70 53-03 PDFBibTeX XMLCite \textit{B. A. Klishchuk} et al., Zb. Pr. Inst. Mat. NAN Ukr. 14, No. 1, 9--24 (2017; Zbl 1389.01014)
Osipchuk, Tat’yana Mikhailovna; Tkachuk, Maksim Vladimirovich The problem of shadow for domains in Euclidean spaces. (English. Ukrainian original) Zbl 1381.51017 J. Math. Sci., New York 224, No. 4, 555-562 (2017); translation from Ukr. Mat. Visn. 13, No. 4, 532-542 (2016). MSC: 51M20 52A10 PDFBibTeX XMLCite \textit{T. M. Osipchuk} and \textit{M. V. Tkachuk}, J. Math. Sci., New York 224, No. 4, 555--562 (2017; Zbl 1381.51017); translation from Ukr. Mat. Visn. 13, No. 4, 532--542 (2016) Full Text: DOI
Vasylyshyn, P. B.; Vlasiĭ, O. D.; Goĭ, T. P.; Zagorodnyuk, A. V.; Zators’kyĭ, R. A.; Kazmerchuk, A. I.; Kopach, M. I.; Mazurenko, V. V.; Makhneĭ, O. V.; Malyts’ka, G. P.; Nykyforchyn, O. R.; Osypchuk, M. M.; Pylypiv, V. M.; Savka, I. Ya.; Symotyuk, M. M.; Filevych, P. V.; Sharyn, S. V. Bogdan Yosypovych Ptashnyk (obituary). (Ukrainian) Zbl 1372.01067 Carpathian Math. Publ. 9, No. 1, 104-106 (2017). MSC: 01A70 PDFBibTeX XMLCite \textit{P. B. Vasylyshyn} et al., Carpathian Math. Publ. 9, No. 1, 104--106 (2017; Zbl 1372.01067) Full Text: DOI Link OA License
Osipchuk, Tetiana Some remarks about system of balls that generate shadow at point. arXiv:1712.01000 Preprint, arXiv:1712.01000 [math.MG] (2017). MSC: 32F17 52A30 BibTeX Cite \textit{T. Osipchuk}, ``Some remarks about system of balls that generate shadow at point'', Preprint, arXiv:1712.01000 [math.MG] (2017) Full Text: arXiv OA License
Osipchuk, Tetiana On semiconvexity and weak semiconvexity. arXiv:1711.04757 Preprint, arXiv:1711.04757 [math.GT] (2017). MSC: 32F17 52A30 BibTeX Cite \textit{T. Osipchuk}, ``On semiconvexity and weak semiconvexity'', Preprint, arXiv:1711.04757 [math.GT] (2017) Full Text: arXiv OA License
Osypchuk, M. M.; Portenko, M. I. On simple-layer potentials for one class of pseudodifferential equations. (English. Ukrainian original) Zbl 1387.35649 Ukr. Math. J. 67, No. 11, 1704-1720 (2016); translation from Ukr. Mat. Zh. 67, No. 11, 1512-1524 (2015). MSC: 35S15 47D07 60G52 PDFBibTeX XMLCite \textit{M. M. Osypchuk} and \textit{M. I. Portenko}, Ukr. Math. J. 67, No. 11, 1704--1720 (2016; Zbl 1387.35649); translation from Ukr. Mat. Zh. 67, No. 11, 1512--1524 (2015) Full Text: DOI
Osypchuk, M. M. On some perturbations of a symmetric stable process and the corresponding Cauchy problems. (English) Zbl 1363.60071 Theory Stoch. Process. 21, No. 1, 64-72 (2016). MSC: 60G52 47D06 PDFBibTeX XMLCite \textit{M. M. Osypchuk}, Theory Stoch. Process. 21, No. 1, 64--72 (2016; Zbl 1363.60071)
Osipchuk, Tetiana On the shadow problem for domains in the Euclidean spaces. arXiv:1602.01300 Preprint, arXiv:1602.01300 [math.MG] (2016). BibTeX Cite \textit{T. Osipchuk}, ``On the shadow problem for domains in the Euclidean spaces'', Preprint, arXiv:1602.01300 [math.MG] (2016) Full Text: arXiv OA License
Tkachuk, M. V.; Osipchuk, T. M. The shadow problem for the ellipsoid of revolution. (Russian. English summary) Zbl 1340.52004 Zb. Pr. Inst. Mat. NAN Ukr. 12, No. 3, 243-250 (2015). MSC: 52A15 53A05 PDFBibTeX XMLCite \textit{M. V. Tkachuk} and \textit{T. M. Osipchuk}, Zb. Pr. Inst. Mat. NAN Ukr. 12, No. 3, 243--250 (2015; Zbl 1340.52004)
Osypchuk, M. M. On some perturbations of a stable process and solutions to the Cauchy problem for a class of pseudo-differential equations. (English) Zbl 1325.35302 Carpathian Math. Publ. 7, No. 1, 101-107 (2015). MSC: 35S11 60G52 PDFBibTeX XMLCite \textit{M. M. Osypchuk}, Carpathian Math. Publ. 7, No. 1, 101--107 (2015; Zbl 1325.35302) Full Text: DOI OA License
Osipchuk, Tetyana; Tkachuk, Maxim On the shadow problem and its generalizations to ellipsoids. arXiv:1510.02088 Preprint, arXiv:1510.02088 [math.MG] (2015). BibTeX Cite \textit{T. Osipchuk} and \textit{M. Tkachuk}, ``On the shadow problem and its generalizations to ellipsoids'', Preprint, arXiv:1510.02088 [math.MG] (2015) Full Text: arXiv OA License
Osypchuk, M. M.; Portenko, M. I. One type of singular perturbations of a multidimensional stable process. (English) Zbl 1340.47089 Theory Stoch. Process. 19, No. 2, 42-51 (2014). MSC: 47D06 47G30 60E07 60G52 PDFBibTeX XMLCite \textit{M. M. Osypchuk} and \textit{M. I. Portenko}, Theory Stoch. Process. 19, No. 2, 42--51 (2014; Zbl 1340.47089)
Osypchuk, M. M.; Portenko, M. I. On Ornstein-Uhlenbeck’s measure of a Hilbert ball in the space of continuous functions. (English) Zbl 1313.60141 Theory Stoch. Process. 19, No. 1, 46-51 (2014). MSC: 60J60 60G07 PDFBibTeX XMLCite \textit{M. M. Osypchuk} and \textit{M. I. Portenko}, Theory Stoch. Process. 19, No. 1, 46--51 (2014; Zbl 1313.60141)
Bigun, G. S.; Osypchuk, M. M. Diffusions generated by the Wiener process. (Ukrainian. English, Russian summaries) Zbl 1391.60193 Carpathian Math. Publ. 5, No. 2, 180-186 (2013). MSC: 60J60 PDFBibTeX XMLCite \textit{G. S. Bigun} and \textit{M. M. Osypchuk}, Carpathian Math. Publ. 5, No. 2, 180--186 (2013; Zbl 1391.60193) Full Text: DOI OA License
Osipchuk, T. M. Analytical conditions of local linear convexity in the space \({\mathbb H}_{\alpha,\beta}^{n}\). (English) Zbl 1289.32017 Zb. Pr. Inst. Mat. NAN Ukr. 10, No. 4-5, 301-305 (2013). MSC: 32F17 PDFBibTeX XMLCite \textit{T. M. Osipchuk}, Zb. Pr. Inst. Mat. NAN Ukr. 10, No. 4--5, 301--305 (2013; Zbl 1289.32017)
Osipchuk, T. M. Mathematical modelling of cortico-pontirie projection. (English) Zbl 1289.92015 Zb. Pr. Inst. Mat. NAN Ukr. 9, No. 2, 265-269 (2012). MSC: 92C20 PDFBibTeX XMLCite \textit{T. M. Osipchuk}, Zb. Pr. Inst. Mat. NAN Ukr. 9, No. 2, 265--269 (2012; Zbl 1289.92015)
Osypchuk, M. M.; Portenko, M. I. An extremum problem for some class of Brownian motions with drifts. (English. Russian original) Zbl 1291.60165 J. Math. Sci., New York 179, No. 1, 164-173 (2011); translation from Probl. Math. Anal. 61, 139-146 (2011). MSC: 60J65 PDFBibTeX XMLCite \textit{M. M. Osypchuk} and \textit{M. I. Portenko}, J. Math. Sci., New York 179, No. 1, 164--173 (2011; Zbl 1291.60165); translation from Probl. Math. Anal. 61, 139--146 (2011) Full Text: DOI
Osypchuk, Mykhajlo; Portenko, Mykola Limit distribution for local times at zero of a sequence of diffusion processes. (Ukrainian. English summary) Zbl 1265.60152 Mat. Visn. Nauk. Tov. Im. Shevchenka 8, 167-183 (2011). MSC: 60J60 60H10 PDFBibTeX XMLCite \textit{M. Osypchuk} and \textit{M. Portenko}, Mat. Visn. Nauk. Tov. Im. Shevchenka 8, 167--183 (2011; Zbl 1265.60152)
Osipchuk, T. M.; Tkachuk, Maxim Volodymyrovych Analytic criterion for linear convexity of Hartogs domains with smooth boundary in \(\mathbb H^{2}\). (English. Russian original) Zbl 1235.32009 Ukr. Math. J. 63, No. 2, 266-277 (2011); translation from Ukr. Mat. Zh. 63, No. 2, 226-236 (2011). MSC: 32F17 PDFBibTeX XMLCite \textit{T. M. Osipchuk} and \textit{M. V. Tkachuk}, Ukr. Math. J. 63, No. 2, 266--277 (2011; Zbl 1235.32009); translation from Ukr. Mat. Zh. 63, No. 2, 226--236 (2011) Full Text: DOI
Osipchuk, T. M.; Zelins’kyj, Yu. B.; Tkachuk, Maxim Volodymyrovych Analytical conditions for local generalized convexity in \(C_{p,q}^{m}\). (Ukrainian. English summary) Zbl 1240.52002 Zb. Pr. Inst. Mat. NAN Ukr. 7, No. 2, 393-401 (2010). MSC: 52A01 PDFBibTeX XMLCite \textit{T. M. Osipchuk} et al., Zb. Pr. Inst. Mat. NAN Ukr. 7, No. 2, 393--401 (2010; Zbl 1240.52002)
Osypchuk, M. M.; Portenko, N. I. On the number of crossings of an arbitrary level by the sequence of diffusion processes with the periodic coefficients. (Ukrainian. English summary) Zbl 1224.60206 Mat. Stud. 33, No. 2, 199-211 (2010). MSC: 60J60 60H10 PDFBibTeX XMLCite \textit{M. M. Osypchuk} and \textit{N. I. Portenko}, Mat. Stud. 33, No. 2, 199--211 (2010; Zbl 1224.60206)
Osypchuk, M. M. On the number of crossings of some levels by a sequence of diffusion processes. (Ukrainian. English, Russian summaries) Zbl 1391.60197 Carpathian Math. Publ. 1, No. 2, 191-196 (2009). MSC: 60J60 60H10 PDFBibTeX XMLCite \textit{M. M. Osypchuk}, Carpathian Math. Publ. 1, No. 2, 191--196 (2009; Zbl 1391.60197)
Osypchuk, M. M. Existence of diffusive processes with the given local characteristics. (Ukrainian. English, Russian summaries) Zbl 1391.60196 Carpathian Math. Publ. 1, No. 1, 79-84 (2009). MSC: 60J60 60H10 PDFBibTeX XMLCite \textit{M. M. Osypchuk}, Carpathian Math. Publ. 1, No. 1, 79--84 (2009; Zbl 1391.60196)
Osipchuk, T. M. Asymptotic conditions of local linear convexity in \(\mathbb H^n\). (Ukrainian. English summary) Zbl 1199.32026 Zb. Pr. Inst. Mat. NAN Ukr. 3, No. 4, 244-254 (2006). MSC: 32F17 PDFBibTeX XMLCite \textit{T. M. Osipchuk}, Zb. Pr. Inst. Mat. NAN Ukr. 3, No. 4, 244--254 (2006; Zbl 1199.32026)
Osipchuk, M. M. Density of the transition probability for a class of generalized diffusion processes. (English. Ukrainian original) Zbl 0945.60075 Ukr. Math. J. 50, No. 10, 1638-1643 (1998); translation from Ukr. Mat. Zh. 50, No. 10, 1433-1437 (1998). Reviewer: V.A.Gasanenko (Kyïv) MSC: 60J60 60J35 PDFBibTeX XMLCite \textit{M. M. Osipchuk}, Ukr. Mat. Zh. 50, No. 10, 1433--1437 (1998; Zbl 0945.60075); translation from Ukr. Mat. Zh. 50, No. 10, 1433--1437 (1998) Full Text: DOI
Osipchuk, M. M. A diffusion with an irregular shift. (English. Ukrainian original) Zbl 0945.60074 Theory Probab. Math. Stat. 54, 127-134 (1997); translation from Teor. Jmovirn. Mat. Stat. 54, 122-128 (1996). Reviewer: Yu.S.Mishura (Kyïv) MSC: 60J60 60E99 PDFBibTeX XMLCite \textit{M. M. Osipchuk}, Teor. Ĭmovirn. Mat. Stat. 54, 122--128 (1996; Zbl 0945.60074); translation from Teor. Jmovirn. Mat. Stat. 54, 122--128 (1996)
Osypchuk, M. M. Diffusion with singular drift in a Hilbert space. (English. Ukrainian original) Zbl 0943.60075 Ukr. Math. J. 47, No. 9, 1394-1401 (1995); translation from Ukr. Mat. Zh. 47, No. 9, 1224-1230 (1995). Reviewer: A.Ya.Olenko (Kyïv) MSC: 60J60 PDFBibTeX XMLCite \textit{M. M. Osypchuk}, Ukr. Mat. Zh. 47, No. 9, 1224--1230 (1995; Zbl 0943.60075); translation from Ukr. Mat. Zh. 47, No. 9, 1224--1230 (1995) Full Text: DOI
Osipchuk, M. M. On a transformation of the Wiener process in \(\mathbb{R}^ m\) by a functional of the local time type on a surface. (English. Ukrainian original) Zbl 0805.60081 Ukr. Math. J. 45, No. 6, 954-958 (1993); translation from Ukr. Mat. Zh. 45, No. 6, 863-866 (1993). MSC: 60J65 60J55 PDFBibTeX XMLCite \textit{M. M. Osipchuk}, Ukr. Math. J. 45, No. 6, 954--958 (1993; Zbl 0805.60081); translation from Ukr. Mat. Zh. 45, No. 6, 863--866 (1993) Full Text: DOI
Osipchuk, M. I. Diffusion with the integrable transfer. (Russian) Zbl 0812.60064 Infinite-dimensional stochastic analysis, Collect. Sci. Works, 96-101 (1990). MSC: 60J60 PDFBibTeX XMLCite \textit{M. I. Osipchuk}, in: Бесконечномерный стохастический анализ. Сборник научных трудов. Kiev: Institut Matematiki AN USSR. 96--101 (1990; Zbl 0812.60064)