Публикации

Учебно-методические пособия с грифом УМО:

Монографии:

  • Mityushev V.V., Rogosin S.V. Constructive Methods for Linear and Nonlinear Boundary Value Problems for Analytic Functions: Theory and Applications. — Boca Raton — London — New York — Washington: Chapman & Hall / CRC PRESS, 1999. — xii+284 p. (Monographs and surveys in pure and applied mathematics; v. 108).
  • Rogosin, S. Mainardi F. Legacy of A.Ya.Khintchine Work in Probability Theory. –Cambridge Sceintific Publishers, 2011. – xiv + 275 p.
  • Gorenflo R., Kilbas A., Mainardi F., Rogosin S. Mittag-Leffler Functions: Related Topics and Applications. Springer Monographs in Mathematics. Springer Verlag, 2014, xiv + 443 p.

Главы в коллективных монографиях:

  • Mityushev V V., Pesetskaya E.V., Rogosin S.V. Analytical Methods for Heat Conduction in Composites and Porous Media / Ch. 5 in: “Thermal Properties of Cellular and Porous Materials” (A. Ӧchsner, G. Murch, and M. de Lemos eds.). Amsterdam: WILEY-VCH. — 2008. — P. 124-167.
  • Bosiakov, S., Rogosin, S. Analytical modeling of the viscoelastic behavior of periodontal ligament with using Rabotnov’s fractional exponential function / Ch. 7 in: “Computational Problems in Science and Engineering”, Volume 343 of the Series “Lecture Notes in Electrical Engineering”, Springer International Publishing, 2015. P. 153-167.
  • Rogosin S., Dubatovskaya M.: Double Laplace Transform and Explicit Fractional Analogue of 2D Laplacian. Ch. 25 in Costanda et al (eds.) Integral Methods in Science and Engineering, Springer, Vol. 1 (2017), pp. 263–278. DOI: 10.1007/978-3-319-59384-5_25
  • Viscoelastic Behaviour of Periodontal Ligament: Stresses Relaxation at Translational Displacement of a Tooth Root, S.Bosiakov, G.Mikhasev, S.Rogosin, pp. 51-64. In: Modern Problems in Applied Analysis (P.Drygas, S.Rogosin Eds.) Basel: Birkhauser Verlag, 214 p., (2018) https://doi.org/10.1007/978-3-319-72640-3

Редактирование сборника научных трудов:

  • Analytic Methods of Analysis and Differential Equations: AMADE-2003 (A.A.Kilbas, S.V.Rogosin Eds.) Cambridge Scientific Publishers (2006).
  • Analytic Methods of Analysis and Differential Equations: AMADE-2006 (A.A.Kilbas, S.V.Rogosin Eds.) Cambridge Scientific Publishers (2008).
  • Analytic Methods of Analysis and Differential Equations: AMADE-2009 (S.V.Rogosin Ed.) Cambridge Scientific Publishers (2010).
  • Advances in Applied Analysis (A.A.Koroleva, S.V.Rogosin Ed.) Basel: Birkhauser Verlag (2012).
  • Analytic Methods of Analysis and Differential Equations: AMADE-2012 (M.V.Dubatovskaya, S.V.Rogosin Eds.) Cambridge Scientific Publishers (2014).
  • Analytic Method of Analysis and Differential Equations (AMADE 2015) Eds.: S.V. Rogosin, M.V.Dubatovskaya, Cambridge Scientific Publishers. 2016.
  • Modern problem in Applied Analysis (S. Rogosin, P. Drygas, eds.), Springer Scientific, Basel, 2018 (accepted).
  • Analytical methods of analysis and differential equations: Materials of the 9th International Workshop (AMADE 2018). Eds.: S.V. Rogosin. September 17-21, 2018, Minsk, Belarus

Статьи в научных журналах (selected)

  1. Rogosin S.V., Tolochko M.E. Homogeneous Riemann boundary value problems with infinite index in an exceptional case // Vesti AN BSSR. – 1978. – No. 3. – P. 35-40 (in Russian).
  2. Govorov N.V., Sandrigailo I.E., Rogosin S.V. On asymptotic behavior of the singular integral of Cauchy type on positive semi-axes // Vestnik of Belarusian University. Ser 1. Phys., Math., Mekh. – 1982. No. 3. – P. 46-53 (in Russian).
  3. Rogosin S.V. On certain classes of functions analytic in the semi-plane // Izvestija vuzov. Matematika. – 1990. – No. 2. – P. 84-86 (in Russian). (impact 2015 0,297)
  4. Rogosin S.V., Zabreiko P.P. On solvability and unique solvability of nonlinear integral equations in Orlicz spaces // Doklady AN Belarusi. – 1992. – Vol. 36. – No. 5. – P. 398-402 (in Russian).
  5. Rogosin S.V., Dubatovskaya M.V. Homogeneous characteristic equation with infinite index in an exceptional case // Doklady AN Belarusi. – 1996. – Vol. 40. – No. 4. – P. 19-23 (in Russian).
  6. Gorenflo R., Kilbas A.A., Rogosin S.V. On generalized Mittag-Leffler type functions // Integral Transforms and Special Functions. – 1998. – Vol. 7, No. 3-4. – P. 215-224. (impact 2016 0.873)
  7. Reisig M., Rogosin S.V. with appendix by Huebner F. Analytical and numerical treatment of a complex model for Hele-Shaw moving boundary value problems with kinetic undercooling regularization // Euro. J. Appl. Math. — 1999. – Vol. 10. – P. 561-579. (impact 2016 0.688)
  8. Rogosin S.V. On well-posedness of nonlinear conjugation problem for analytic functions // Mathematical Modelling and Analysis. – 2000. – Vol. 5. – P. 153-163. (impact 2016 0.521)
  9. Rogosin S.V. On well-posedness of one-sided nonlinear boundary value problems for analytic functions // J. of Integral Equations and Applications. – 2000. Vol. 12, No. 3. – P. 131-156. (impact 2000 0.69)
  10. Lanza de Cristoforis M., Rogosin S.V. Analyticity of a nonlinear operator associated to the conformal representation in Schauder spaces. An integral equations approach // Math. Nachr. — 2000. — Vol. 220. — P. 59-77. (impact 2016 0.742)
  11. Rogosin S.V. Properties of the solution of a nonlinear problem of Riemann-Hilbert-Poincare type for harmonic functions // Analytical Methods of Analysis and Differential Equations / Proceedings of Institute of Mathematics NAS. — Minsk, 2000. — Vol. 5. — P. 153-163.
  12. Lanza de Cristoforis M., Rogosin S.V. Analiticity of a nonlinear operator associated to the conformal representation a doubly connected domain in Schauder spaces // Complex Variables. — 2001. — Vol. 44. — P. 193-223. (impact 2016 0.616)
  13. Lanza de Cristoforis M., Rogosin S.V. A Newton-Kantorovich method for the conformal representation // Analysis. — 2002. — Vol. 22. — P. 131-148. (impact 2016 0.125)
  14. Rogosin S.V. On classical formulation of Hele-Shaw moving boundary problem for power-law fluid // Math. Model. and Analysis. — 2002. — V. 7, No. 1. — P. 158-168. (impact 2016 0.521)
  15. Preciso L., Rogosin S.V. On the analyticity of the Schwarz operator with respect to a curve // Proceedings of the International Conference FSORP2002 (S.G.Samko, A.Lebre and A.F.dos Santos eds.). Dordrecht: Kluwer AP. — 2003. — P. 237-254.
  16. Preciso L., Rogosin S.V. Real analyticity with respect to the boundary curve of an operator related to the solution of the Schwarz boundary value problem in a multiply connected domain // Complex Analysis and Potential Theory / Proceedings of the Ukranian Math. Congress. Section 4 (Tamrazov P.M. ed.). — Kiev: NAS Ukraine. — 2003. — P. 100-111.
  17. Dubatovskaya M.V., Rogosin S.V. On an exact description of the Schottky group of symmetries // Math. Model. and Analysis. — 2004. — Vol. 9, No. 2. — P. 137-148. (impact 2016 0.521)
  18. Preciso L., Rogosin S.V. Real analyticity of an operator, associated to the Schwarz operator for multiply connected domains // Proc. of Institute of Math., NAS Ukraine. — 2004. – Vol. 1, No. 3. — P. 151-168.
  19. Rogosin S.V. Hele-Shaw Moving Boundary Value Problem in a Bounded Domain. Local in Time Solvability // Complex Variables. — 2005. – Vol. 50, № 7-11. — P. 745-764. (impact 2016 0.616)
  20. Rogosin S.V. On nonlinear Vekua type equations // Nonlinear Analysis: Modelling and Control. — 2006. – Vol. 11, No. 2. — 187-200. (impact 2016 0.952)
  21. Cattani C., Dubrovina O., Rogosin S., Voskresensky S., Zelenko E. On the creation of a new diagnostic model for fetal well-being on the base of wavelet analysis of cardiotocograms // J. Med. Systems. 2006. – Vol. 30, No. 6. P. 489-494. (impact 2016 2.456)
  22. Mainardi F., Rogosin S. An origin of infinitely divisible distribution: from de Finetti’s problem to Levy-Khintchine formula // Mathematical Methods in Economics and Finance. – 2006. – Vol. 1. – P. 37-56.
  23. Dubatovskaya M.V., Rogosin S.V. Heat Conduction of 2D Composite Materials with Symmetric Inclusions: a Model and Reduction to a Vector-Matrix Problem // Material Science Forum. — 2007. — Vol. 553. — P. 136-142. (impact 2007 0.32)
  24. Pesetskaya E.V., Ӧchsner A., Rogosin S.V. The Effective Conductivity of 2D Porous Materials with Temperature Dependent Material Properties // Material Science Forum. — 2007. — Vol. 553. — P. 112-117. (impact 2007 0.32)
  25. Rogosin S.V., Vaitekhovich T.S. Hele-Shaw Model for Melting/Freezing with Two Dendrits // Material Science Forum. — 2007. — Vol. 553. — P. 143-151. (impact 2007 0.32)
  26. Rogosin S.V., Chakhmianok T.A. On solvability of inhomogeneous nonlinear power-type boundary value problem // Complex Variables and Elliptic Equations. – 2007. – Vol. 52, No. 10-11. – P. 933-943. (impact 2016 0.616)
  27. Rogosin S.V., Vaitekhovich T.S. Complex Hele-Shaw Model. Local solvability for a doubly connected domain // J. Applied Functional Analysis. — 2007. — Vol. 2, No. 2. — P. 159-184.
  28. Mityushev V.V., Pesetskaya E.V., Obnosov Yu.V., Rogosin S.V. Complex analytic methods for heat conduction in composites // Mathematical Modelling and Analysis. — 2008. — Vol. 13, No. 1. — P. 67-78. (impact 2016 0.521)
  29. Mityushev V. V., Rogosin S.V. On Riemann-Hilbert problem with a piece-wise constant matrix // Zeitschrift fuer Analysis und ihre Anwendungen. — 2008. — Vol. 27, No. 1. — P. 53-66. (impact 2008 0.87)
  30. Lebed S., Rogosin S.V. Optimal design of unbounded 2D composite materials with circular inclusions of different radii // Annales Academiae Paedagogicae Cracoviensis Studia Mathematica. – 2008. – Vol. 7. – P. 91-99.
  31. Dubatovskaya M.V., Pesetskaya E.V., Rogosin S.V. Eisenstein sums and functions and their application at the study of heat conduction in composites // Siauliai Mathematical Seminar. – 2009. – Vol. 12. – P. 167-187.
  32. De Castro L., Pesetskaya E.V., Rogosin S.V. Effective conductivity of composite materials with non-ideal contact condition // Complex Variables and Elliptic Equations. – 2009. – Vol. 54, No. 12. – P. 1085-1100. (impact 2016 0.616)
  33. Makarova N.I., Rogosin S.V. Wavelet-analysis of time series with gap data. A preliminary study // Mathematical Methods in Economics and Finance. – 2009. – Vol. 4, No. 1. – P. 27-42.
  34. Koroleva A., Rogosin S.V. Integral representation of the four-parametric Mittag-Leffler function // Lithuanian Mathematical Journal. – 2010. – Vol. 50, No. 3. – P. 337–343. (impact 2016 0.50)
  35. Rogosin S., Vaitekhovich T. On a biharmonic problem in a circular ring // Analysis. – 2010. – Vol. 30 (1). – P. 93–106. (impact 2016 0.125)
  36. Rogosin S., Urbanovich T. Hyperfunction theory approach to the study of Riemann boundary value problem in an exceptional case // Siauliai Math. Sem. – 2010. – Vol. 5 (13). – P. 71–85.
  37. Luchko Yu., Mainardi F., Rogosin S. Professor Rudolf Gorenflo and his contribution to fractional calculus // Fractional Calculus and Applied Analysis. – 2011. – Vol. 14, No.1. – P. 3-18. (impact 2016 2.034)
  38. Rogosin S., Speck F.-O. On the analytical solution of the linear-fractional Riemann problem // Mathematische Nachrichten 2011. – Vol. 284, No. 4. – P. 543-559. (impact 2016 0.742)
  39. Rogosin S. 2D Free Boundary Value Problems. In: Advances in Applied Analysis. (S.Rogosin, A.Koroleva, Eds.) Trends in Mathematics. Basel: Birkhдuser Verlag, 2012.– P. 219-250.
  40. Kilbas A.A., Koroleva A.A., Rogosin S. Multi-parametric Mittag-Leffler functions and their extension. Fractional Calculus and Applied Analysis. – 2013. – Vol. 16, No. 2. – P. 378-404. (impact 2016 2.034)
  41. Rivero M., Rogosin S., Tenreiro Machado J., Trujillo J. Stability of Fractional Order Systems. Mathematical Problems in Engineering, Volume 2013 (2013), Article ID 356215, 14 pages. http://dx.doi.org/10.1155/2013/356215 (impact 2016 0.802)
  42. Gryshchuk S., Rogosin S. Effective Conductivity of 2D Disk — Ring Composite Material. Mathematical Modelling and Analysis. – 2013. – Vol. 18, No. 3. – P. 386-394. (impact 2016 0.521)
  43. Ilchukov A., Rogosin S. Boundary value problems in spaces defined by modulus of continuity. Siauliai Math. Sem. – 2013. – Vol. 8 (16). – P. 71.-82.
  44. Mishuris G., Rogosin S. An asymptotic method of factorization of a class of matrix functions. Proc. Royal Soc. A, 2014. – Vol. 470, 20140109. (impact 2016 0,754)
  45. Mishuris G., Rogosin S., Wrobel M. Hele-Shaw flow with a small obstacle. Meccanica. – 2014. – Vol. 49. – P. 2037. (impact 2016 2,196)
  46. Mainardi F., Rogosin S. George William Scott Blair – the pioneer of fractional calculus in rheology. Comm. in Applied and Industrial Math. – 2014. – Vol. 6, no. 1. – e481 doi:10.1685/journal.caim. (impact 2016 0,315)
  47. Dalla Riva M., Musolino P., Rogosin S. Series expansions for the solution of the Dirichlet problem in a planar domain with a small hole // Asymptotic Analysis. – 2015. – Vol. 92. — P. 339-361. (impact 2016 0,933)
  48. Mishuris G., Rogosin S., Wrobel M. Moving stone in the Hele-Shaw flow // Mathematika. – 2015. – Vol. 61 (2). P. 457-474. doi:10.1112/S0025579314000461 (impact 2016 0,667)
  49. Trzepieciсski, T., Stachowicz, F., Bosiakov, S., Rogosin, S.: A 3d numerical modeling of hemispherical contact against an elastic-plastic flat surface // RUTMech, Vol. XXXI. 2014. P. 629-638.
  50. Bosiakov, S., Rogosin, S.: Fractional viscoelastic model of the tooth root displacements in «noncompensable» periodontal ligament, In: Recent advances in mathematical methods in applied sciences/Proc. of 2014 Int. Conf. Math. Models and Methods in Applied Sciences (MMAS 2014). S.-Petersburg, Russia, 23-25 September, 2014. Eds. Yu.B. Senichenkov, V. Korablev, I. Chernorytski, N.V. Korovkin, S. Pozdnjkov, Kimis Ntalianis. – St.Petersbourg, 2014. P. 114-117.
  51. Dubatovskaya, M., Mishuris, G., Rogosin, S.: Nonlinear heat conduction problem in doubly periodic 2D composite materials, Recent advances in mathematical methods in applied sciences/Proc. of 2014 Int. Conf. Math. Models and Methods in Applied Sciences (MMAS 2014). S.-Petersburg, Russia, 23-25 September, 2014. Eds. Yu.B. Senichenkov, V. Korablev, I. Chernorytski, N.V. Korovkin, S. Pozdnjkov, Kimis Ntalianis. – St.Petersbourg, 2014. P. 41-46.
  52. Dubatovskaya, M., Rogosin, S.: On effective conductivity formula for bounded symmetric composite material, In: Complex Analysis and Potential Theory with Applications / Cambridge Scientific Publishers, 2014. (T.Aliev Azerogly, A.Golberg, S.Rogosin eds.). – P. 53-62.
  53. Koroleva, A., Mishuris, G., Rogosin S.: Desription of the contact zone by using the Wright function, In: Complex Analysis and Potential Theory with Applications / Cambridge Scientific Publishers, 2014. (T.Aliev Azerogly, A.Golberg, S.Rogosin eds.). – P. 133-138.
  54. Bosiakov, S., Koroleva, A., Rogosin, S., Silberschmidt, V. Viscoelasticity of periodontal ligament: an analytical model // Mechanics of Advanced Materials and Modern Processes (2015) 1:7, p. 1-11, DOI 10.1186/s40759-015-0007-0
  55. Agarval, P., Rogosin, S., Trujillo, J.J. Certain fractional integral operators and the generalized multi-index Mittag-Leffler functions // Proceedings — Mathematical Sciences. – 2015. – Vol. 125. – P. 291-306. (impact 2016 0,371)
  56. Rogosin, S. The role of the Mittag-Leffler function in fractional modeling // Mathematics. – 2015. – Vol. 3. P. 368-381.
  57. Mishuris, G., Rogosin, S. Factorization of a class of matrix-functions with stable partial indices. Mathematical Methods in the Applied Sciences. – 2016. – Vol. 39, Issue 13. – P. 3791-3807. (impact 1,017)
  58. Mishuris, G., Peck, D., Rogosin S., Wrobel M. Simulation the Hele-Shaw flow in the presence of various obstacles and moving particles // Meccanica. – 2016. – Vol. 51 (5). – P. 1041-1055. (impact 2,196)
  59. Rogosin, S., Mishuris, G., Koroleva, A., Vinakurava, A.: Analysis of the unilateral contact problem for biphasic cartilage layers with an elliptic contact zone and accounting for tangential displacements // Mathematical Modelling and Analysis. – 2016. – Vol. 21, No. 5. – P. 585-609. (impact 0,521)
  60. Rogosin, S.: Real variable Hele-Shaw problem with kinetic undercooling // Lobachevski J. of Mathematics. – 2017. – Vol. 38, No. 3. – P. 510-519. (impact 0,368)
  61. Garrappa R., Rogosin S., Mainardi F.: On a generalized three-parameter Wright function of Le Roy type, Fract. Calc. Appl. Anal. – 2017.– Vol. 20, № 5.   pp. 1196–1215. DOI: 10.1515/fca-2017-0063. (impact 2016 2,034)/
  62. Trzepiecinski T., Bak L., Stachowicz F., Bosiakov S., Rogosin S. Analysis of sheet surface roughness change under contact with flat and spherical indenters // Kovove Materialy – 2017. – Vol. 55(6). – P. 413-420, DOI 10.4149/km_2017_6_413.
  63. Rogosin S., Mainardi F.: A.Ya. Khintchine’s Work in Probability Theory // Notices of ICCM – 2017. – Vol. 5, N. 2. – P. 60-75.
  64. Dubatovskaya, M., Rogosin S. On solution to the Riemann vector-matrix boundary value problem with functionally-commutative coefficient // Математические методы в технике и технологиях: сб. тр. междунар. науч. конф.: в 12 т. Т. 10 / под общ. ред. А. А. Большакова.   СПб.: Изд-во Политехн. ун-та, 2017.   С. 11-15.
  65. Rogosin, S. Regular and singular perturbation of matrix-functions with unstable partial indices / S. Rogosin, G. Mishuris // Аналитические методы анализа и дифференциальных уравнений: Материалы междунар. семинара 17-21 сентября 2018 г., Минск, Беларусь: ИМ HAH PB 2018. — С. 62-63.
  66. Рогозин, С. В. Трехэлементная краевая задача на окружности с рациональным коэффициентом / Л. П. Примарчук, С. В. Рогозин, М. В. Дубатовская // Аналитические методы анализа и дифференциальных уравнений: Материалы междунар. семинара 17-21 сентября 2018 г., Минск, Беларусь: ИМ HAH PB 2018. — С. 69.
  67. Rogosin, S.V. Modelling with fractional calculus: from mathematical curiosity to real life processes and materials / S.V. Rogosin  // Аналитические методы анализа и дифференциальных уравнений: Материалы междунар. семинара 17-21 сентября 2018 г., Минск, Беларусь: ИМ HAH PB 2018. — С. 71.
  68. Rogosin S.V., Dubatovskaya M.V. On existence of the Marchaud fractional derivative / Материалы  XVIII Международной научной конференции по дифференциальным уравнениям (Еругинские чтения- 2018). Гродно 15-18 мая 2018.    Часть 2.  – Мн.: Институт математики НАН Беларуси, 2018. – с. 76-78.
  69. Primachuk L., Rogosin S.: Factorization of Triangular Matrix-Functions of an Arbitrary Order // Lobachevskii Journal of Mathematics, – 2018. – Vol. 39, No. 6. – P. 809–817.
  70. Rogosin S., Dubatovskaya M. Letnikov vs Marchaud: A Survey on Two Prominent Constructions of Fractional Derivatives // Mathematics. – 2018. – Vol. 6 (1), 3. doi:10.3390/math6010003
  71. Mishuris, G., Rogosin, S. Regular approximate factorization of a class of matrix-function with an unstable set of partial indices // Proc. Royal Soc. A, 2018. – Vol. 474, 20140279. DOI: 10.1098/rspa.2017.0279

  72. Dubatovskaya M., Primachuk L., Rogosin S. On factorization of triangle matrix functions // Вестник Сыктывкарского университета. Серия 1: Математика, Механика, Информатика. – 2018. – 4(25). Вып. 17. – P. 5–14.