Prof. Anatolij Prykarpatski

Department of Appplied Mathematics

AGH University of Science and Technology, Poland

Email: pryk.anat@cybergal.com, prykanat@agh.edu.pl

Qualifications

1987 Doctor of Mathematics and Physics, The Jont Institute for Nuclear Research of Dubna, Russian Federation

1980 Candidate of Math. and Physics. (Ph.D.), Institute of Mathematica of NAS of Ukraine, Ukraine

1975 M.Sc., The Ivan Franko State University of Lviv, Ukraine

Publications (Selected)

1. A multi-agent selection model of investment portfolio. Visnyk Lviv University, Ser. Economy, v. 39 (2008), p.505-510 (in Ukrainian) (with I. Tverdokhlib, V. Gafiychuk)
2. Differential-algebraic integrability analysis of the generalized Riemann type and Korteweg--de Vries hydrodynamical equations. J. Phys. A: Math. Theor. 43 (2010) 295205 (13pp) (with Orest D. Artemovych, Ziemowit Popowicz and Maxim V. Pavlov)
3. A new Riemann type hydrodynamical hierarchy and its integrability analysis. Preprint ICTP IC/2009/095, 2009 (with Golenia J., Bogolubov N.(Jr), Popowicz Z., Pavlov M.)
4. The non-polynomial conservation laws and integrability analysis of generalized Riemann type hydrodynamical equations. Nonlinearity, 23, (2010) p. 2517--2537; arXiv:1005.2660v4 [nlin.SI], 2010 (with Ziemowit Popowicz)
5. On a nonlocal Ostrovsky--Whitham type dynamical system, its Riemann type inhomogeneous regularizations and their integrability. SIGMA 6 (2010), p. 1--13 (with Golenia J., Pavlov M. and Popowicz Z.)
6. Differential-algebraic integrability analysis of the generalized Riemann type and Korteweg--de Vries hydrodynamical equations. Proceedings of the Thirteen International M. Kravchuk Conference, held in May 13-15, 2010, Kyiv, Ukraine, p. 28-30 (with Orest D. Artemovych, Ziemowit Popowicz and Maxim V. Pavlov)
7. The Analysis of Lagrangian and Hamiltonian Properties of the Classical Relativis-tic Electrodynamics Models and Their Quantization. Found. Phys., (2010) 40: 469 493 (with Bogolubov N.N. (Jr.))
8. Differential-algebraic integrability analysis of the generalized Riemann type and Korteweg de Vries hydrodynamical equations. Proceedings of the Thirteen International M. Kravchuk Conference, held in May 13-15, 2010, Kyiv, Ukraine, p. 28-30 (with O.D. Artemovych, Z. Popowicz and M.V. Pavlov)
9. The Vacuum Structure and Special Relativity Revisited:  A Field Theory No- Geometry Approach within the Lagrangian and Hamiltonian Formalisms. Physics of Particles and Nuclei, 2010, Vol. 41, No. 6, pp. 913--920. (with N. N. Bogolubov (Jr.)
10. Analysis of optimal strategies for a competing stock market portfolio model with a poly-variant profit function. Cybernetics and Systems Analysis. v. 47, N2 (2011) p. 210-227 (with I. Tverdokhlib, B. Kyshakevych)
11. The AKNS hierarchy revisited: a vertex operator approach and the Lie-algebraic structure. Journal of Nonlinear Mathematical Physics. 2011 (accepted; with D.Blackmore)
12. On the complete integrability of nonlinear dynamical systems on functional manifolds within the gradient-holonomic approach. Reports on Mathematical Physics. 2011 (accepted; with V.G. Samoilenko and others.)
13. Isospectral integrability analysis of dynamical systems on discrete manifolds. Opuscula Mathematica Vol. 32, No. 1, 2011 (with Denis Blackmore and Yarema A. Prykarpatsky)
14. Modern Classical Electrodynamics and Electromagnetic Radiation - Vacuum Field Theory Aspects. Source: Book "Electromagnetic Waves", Edited by Vitaliy Zhurbenko, Publisher: InTech, June 2011(with Nikolai N. Bogolubov)
15. The Maxwell Electromagnetic Equations and the Lorentz Type Force Derivation---The Feynman Approach Legacy. Int. J. Theor. Phys. 2011, DOI 10.1007/s10773-011-0900-1  (with Nikolai N. Bogolubov Jr.)
16. Isospectral integrability analysis of dynamical systems on discrete manifolds. Opuscula Mathematica, Vol. 32 No. 1 2012, p. 39-64 (with D. Blackmore and other)
17. Invariant measures for discrete dynamical systrems and ergodic propertyies og generalized Boole type transformations. Ukrainian Math. Journal, 2013, т. 65, N1, p. 44-57 (with D. Blackmore and other)
18. A current algebra approach to the equilibrium classical statistical mechanics and its applications / N. N. Bogolubov, A. P. Prykarpatski // Condensed Matter Physics ; ISSN 1607-324X. --- 2013 vol. 16 no. 2, s. 23702-1---23702-13. --- Bibliogr. s. 23702-12---23702-13
19. A new exactly solvable spatially one-dimensional quantum superradiance fermi-medium model and its quantum solitonic states / D. Blackmore, A. P. PRYKARPATSKY // Condensed Matter Physics ; ISSN 1607-324X. --- 2013 vol. 16 no. 2, s. 23701-1--23701-9. --- Bibliogr. s. 23701-8---23701-9
20. A vertex operator representation of solutions to the Gurevich-Zybin hydrodynamical equation / Yarema A. Prykarpatsky, Denis Blackmore, Jolanta Golenia, Anatolij K. Prykarpatsky // Opuscula Mathematica ; ISSN 1232-9274. --- Tytuł poprz.: Scientific Bulletins of Stanisław Staszic Academy of Mining and Metallurgy. Opuscula Mathematica. --- 2013 vol. 33 no. 1, s. 139--149. --- Bibliogr. s. 147—148
21. Hidden symmetries of lax integrable nonlinear systems / Denis Blackmore, Yarema Prykarpatsky, Jolanta Golenia, Anatolij K. Prykarpatsky // Applied Mathematics ; ISSN 2152-7385. --- 2013 vol. 4 no. 10C spec. iss. on Advances in mathematical physics, s. 95--116. --- Bibliogr. s. 114—116
22. Invariant measures for discrete dynamical systems and ergodic properties of generalized Boole-type transformations / D. Blackmore, J. Golenia, A. K. Prykarpatski, Ya. A. Prykarpatsky // Ukraпns'kij Matematičnij Žurnal ; ISSN 1027-3190. --- 2013 t. 65 no. 1, s. 44--57. --- Bibliogr. s. 57. --- Afiliacja J. Golenia: Univ. Sci. and Technology, Krakow

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Last updated: 15-06-26