profesor zwyczajny
Faculty of Applied Mathematics WMS-krr
ORCID: 0000-0001-5124-5890
ResearcherID: brak
Scopus: 57210368048
System Informacyjny AGH (SkOs)
A Borsuk-Ulam type generalization of the Leray-Schauder fixed point theorem — Odne uzagal'nennâ tipu Borsuka-Ulama teoremi Lere-Šaudera pro neruhomu točku / Anatolij PRYKARPATSKY // Mathematical Bulletin / Josai University. Graduate School of Science ; ISSN 1344-7769. — 2007 vol. 4, s. 1–15. — Bibliogr. s. 14–15
brak zdefiniowanych słów kluczowych
cyfrowy identyfikator dokumentu:
A current algebra approach to the equilibrium classical statistical mechanics and its applications / N. N. Bogolubov, A. P. PRYKARPATSKY // Condensed Matter Physics ; ISSN 1607-324X. — 2013 vol. 16 no. 2, s. 23702-1–-23702-13. — Bibliogr. s. 23702-12-–23702-13. — A. K. Prykarpatsky - dodatkowa afiliacja: Ivan Franko State Pedagogical University, Drohobych, Ukraine. — tekst: http://www.icmp.lviv.ua/journal/zbirnyk.74/23702/art23702.pdf
keywords: current algebra, Bogolubov generating functional, collective variables representation, Hamiltonian operator reconstruction
cyfrowy identyfikator dokumentu: 10.5488/CMP.16.23702
A generalized hydrodynamical Gurevich-Zybin equation of Riemann type and its Lax type integrability / M. V. Pavlov, Anatoliy PRYKARPATSKY // Condensed Matter Physics ; ISSN 1607-324X. — 2010 vol. 13 no. 4, s. 43002-1–43002-21. — Bibliogr. s. 43002-20–43002-21. — A. K. Prykarpatsky dod. afiliacja: The Ivan Franko State Pedagogical University, Ukraine
cyfrowy identyfikator dokumentu: 10.5488/CMP.13.43002
A geometrical approach to quantum holonomic computing algorithms / A. M. Samoilenko, Y. A. PRYKARPATSKY, Ufuk Taneri, A. K. PRYKARPATSKY, D. L. Blackmore // Mathematics and Computers in Simulation ; ISSN 0378-4754. — 2004 vol. 66 iss. 1, s. 1–20. — Bibliogr. s. 19–20, Abstr.. — Publikacja dostępna online od: 2004-04-27. — Y. A. Prykarpatsky - dod. afiliacje: National Academy of Sciences, Kyiv, Ukraine; Brookhaven National Laboratory, Upton, USA; National Academy of Sciences, Lviv, Ukraine. — A. K. Prykarpatsky - dod. afiliacje: National Academy of Sciences, Kyiv, Ukraine; National Academy of Sciences, Lviv, Ukraine. — tekst: https://www-1sciencedirect-1com-1000027fh02ef.wbg2.bg.agh.edu.pl/science/article/pii/S0378475404000357/pdfft?md5=f3cfe51e769ab4857ce0f28f286a1317&pid=1-s2.0-S0378475404000357-main.pdf
keywords: quantum algorithms, symplectic structures, dynamical systems, connections, Lax type integrable flows, holonomy groups, Grassmann manifolds, quantum computers
Zobacz pełny wykaz publikacji Autora/Autorów: Jarema A. Prykarpatsky
cyfrowy identyfikator dokumentu: 10.1016/j.matcom.2004.01.017
A geometrical approach to quantum holonomic computing algorithms / K. PRYKARPATSKY, D. Blackmore, N. K. Prykarpatska // W: ECMI 2004 : the 13\textsuperscript{th} European Conference on Mathematics in Industry : June 21–25, 2004, Eindhoven, The Netherlands. — [The Netherlands : Technische Universiteit Eindhoven], [2004]. — S. 239–240
A kinetic model of the plasma flow at the magnetic z-pinch and the plasmoid structure, Pt. 2 / P. Kubes, A. K. PRYKARPATSKY, J. Zagrodziński, Y. A. Prykarpatsky // Žurnal Fìzičnih Doslìdžen' = Journal of Physical Studies ; ISSN 1027-4642. — 1999 vol. 3 no. 1, s. 42–46. — Bibliogr. s. 45–46, Rez.
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. — A. K. Prykarpatsky - dodatkowa afiliacja: Ivan Franko State Pedagogical University, Drohobych, Ukraine. — tekst: http://www.icmp.lviv.ua/journal/zbirnyk.74/23701/art23701.pdf
keywords: charged fermionic medium, quantum superradiance model, Bethe eigenstates, quantum solitons, renormalization, quantum inverse spectral problem, Yang-Baxter identity, conservation laws
cyfrowy identyfikator dokumentu: 10.5488/CMP.16.23701
A solution set analysis of a nonlinear operator equation using a Leray-Schauder type fixed point approach / Anatoliy K. PRYKARPATSKY, Denis Blackmore // Topology ; ISSN 0040-9383. — 2009 vol. 48 iss. 2–4, s. 182–185. — Bibliogr. s. 185, Abstr.. — IDAT : “Infinite Dimensional Analysis and Topology” : international conference : May 27 – June 1, 2009, Yaremche, Ukraine. — tekst: http://www.sciencedirect.com/science/article/pii/S0040938309000299/pdfft?md5=b560c0ce307e9b1aff2e64741e04cca0&pid=1-s2.0-S0040938309000299-main.pdf
keywords: non linear operator equation, Leray-Schauder type theorem, fixed point theory, solution set analysis
cyfrowy identyfikator dokumentu: 10.1016/j.top.2009.11.017
A survey of the spectral and differential geometric aspects of the generalized De Rham-Hodge theory related with Delsarte transmutation operators in multidimension and applications to spectral and soliton problems, Pt. 1 / Yarema A. PRYKARPATSKY, Anatoliy M. Samoilenko, Anatoliy K. PRYKARPATSKY // Applied Mathematics E-Notes [Dokument elektroniczny]. — Czasopismo elektroniczne ; ISSN 1607-2510. — 2005 vol. 5, s. 210–246. — Bibliogr. s. 244–246, Abstr.. — tekst: https://www.emis.de/journals/AMEN/2005/040619-2.pdf
A symplectic generalization of the Peradzyński helicity theorem and some applications / Anatoliy K. PRYKARPATSKY, Nikolai N. Bogoliubov Jr., Jolanta GOLENIA // International Journal of Theoretical Physics ; ISSN 0020-7748. — 2008 vol. 47 no. 7, s. 1919–1928. — Bibliogr. s. 1928, Abstr.. — tekst: http://link.springer.com/content/pdf/10.1007%2Fs10773-007-9636-3.pdf
keywords: conservation laws, symplectic and symmetry analysis, vorticity invariants, Hamiltonian and Poissonian structures, MHD superfluid equations, Peradzynski helicity theorem
Zobacz pełny wykaz publikacji Autora/Autorów: Jolanta Golenia
cyfrowy identyfikator dokumentu: 10.1007/s10773-007-9636-3
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, Abstr.. — tekst: http://journals.bg.agh.edu.pl/OPUSCULA/2013.33.1/OpMath.2013.33.1.139.pdf
keywords: Lax type integrability, vertex operator representation, Lax integrability, lie algebraic approach
cyfrowy identyfikator dokumentu: 10.7494/OpMath.2013.33.1.139
About a finite dimensional reduction method for conservative dynamical systems and its applications / Anatoliy PRYKARPATSKY, Stanisław BRZYCHCZY, V. Samoylenko // W: Scientific computing, validated numerics, interval methods / eds. Walter Krämer, Jürgen Wolff von Gudenberg. — New York [etc.] : Kluwer Academic/Plenum Publishers, 2001. — Zawiera materiały z sympozium : "SCAN 2000 - The 9th GAMM-IMACS International Symposium on Scientific Computing, Computer Arithmetic and Validated Numerics, and Interval 2000 - The International Conference on Interval Methods in Science and Engineering".. — ISBN10: 0306467062. — S. 293–302. — Bibliogr. s. 302, Abstr.
Zobacz pełny wykaz publikacji Autora/Autorów: Stanisław Brzychczy
Analìz optimal'nih strategìj portfel'noï konkurencìjnoï modelì rinku akcìj — Optimal strategy analysis of a competitive bank portfolio model of the share market / B. Û. Kišakevič, A. K. PRYKARPATSKY, Ì. P. Tverdohlìb // Dopovìdì Nacì onal'noï akademìï nauk Ukraïni = Reports of the National Academy of Science of Ukraine ; ISSN 1025-6415. — 2009 no. 1, s. 40–47. — Bibliogr. s. 47
Analysis of solutions of a noncanonical Hamilton-Jacobi equation using the generalized characteristics method and the Hopf-Lax representations / Mirosław LUŚTYK, Julian JANUS, Marzenna PYTEL-KUDELA, Anatolij K. PRYKARPATSKY // Nonlinear Analysis : Theory, Methods & Applications ; ISSN 0362-546X. — 2009 vol. 71 iss. 10, s. 5084–5089. — Bibliogr. s. 5088–5089, Abstr.. — tekst: http://www.sciencedirect.com/science/article/pii/S0362546X0900457X/pdfft?md5=849e2508ffeb72c53ead4cf9819dde97&pid=1-s2.0-S0362546X0900457X-main.pdf
keywords: characteristics method, Hopf-Lax representation, Leray-Schauder type fixed point theory, non canonical Hamilton-Jacobi equation
Zobacz pełny wykaz publikacji Autora/Autorów: Julian Janus, Mirosław Luśtyk, Marzenna Pytel-Kudela
cyfrowy identyfikator dokumentu: 10.1016/j.na.2009.03.031
Bogolyubov generating functional method in statistical physics and ”collective”-variables transform within grand canonical ensemble / N. N. Bogolyubov, Jr., A. K. PRYKARPATSKY // Nonlinear Oscillations ; ISSN 1536-0059. — 2007 vol. 10 no. 1, s. 32–45. — Bibliogr. s. 45. — tekst: https://goo.gl/seRorZ
cyfrowy identyfikator dokumentu: 10.1007/s11072-007-0004-2
Central extension approach to integrable field and lattice-field systems in $(2+1)$-dimensions / Maciej Błaszak, Andrzej Szum, Anatolij PRYKARPATSKY // Reports on Mathematical Physics ; ISSN 0034-4877. — 1999 vol. 44 no. 1/2, s. 37–44. — Bibliogr. s. 44. — Publikacja dostępna online od: 2000-10-16. — A. Prykarpatsky - pierwsza afiliacja: Department of Nonlinear Analysis, IAPMM of the NAS, Lviv, Ukraina. — Proceedings of the XXX symposium on Mathematical Physics : May 26–30, 1998 Toruń, Poland / ed. Andrzej Jamiołkowski, Miłosz Michalski, Ryszard Mrugała. — Warszawa : Polish Scientific Publishers PWN, 1999. — tekst: https://www-1sciencedirect-1com-10000274b003b.wbg2.bg.agh.edu.pl/science/article/pii/S0034487799801438/pdf?md5=cd0642f724aff37efbb91661b597398a&pid=1-s2.0-S0034487799801438-main.pdf
cyfrowy identyfikator dokumentu: 10.1016/S0034-4877(99)80143-8
Classical electromagnetic theory revisiting: the A. M. Ampere law and the vacuum field theory approach / Anatolij K. PRYKARPATSKY // Universal Journal of Physics and Application ; ISSN 2331-6535. — 2014 vol. 8 no. 8, s. 381–413. — Bibliogr. s. 408–413, Abstr.. — tekst: https://www.hrpub.org/download/20141101/UJPA4-18402821.pdf
keywords: Lagrangian and Hamiltonian formalisms, Lorentz type force, Lorenz constraint, Maxwell electromagnetic equations, Jefimenko equations, radiation theory, vacuum field theory approach, Amper law, Feynman's approach legacy
cyfrowy identyfikator dokumentu: 10.13189/ujpa.2014.020804
Dark equations and their light integrability / Denis Blackmore, Anatolij K. PRYKARPATSKY // Journal of Nonlinear Mathematical Physics ; ISSN 1402-9251. — 2014 vol. 21 no. 3, s. 407–428. — Bibliogr. s. 426–428
keywords: asymptotic analysis, Lax integrability, conserved quantities, Burgers type system, differential algebraic approach, symmetry recursion operator, commuting infinite hierarchies of dynamical systems
cyfrowy identyfikator dokumentu: 10.1080/14029251.2014.936760
Diferencìal'no-geometričnì ta lì-algebraïčnì osnovi doslìdžennâ ìntegrovnih nelìnìjnih dinamìčnih sistem na funkcìonal'nih mnogovidah — Differential-geometric and lie-algebraic foundations of studying integrable nonlinear dynamical systems on functional manifolds / Oksana Gentoš, Mikola Pritula, Anatolij PRYKARPATSKY ; za zagal'noû red. A. M. Samojlenka ta A. K. PRYKARPATSKOGO ; Nacìonal'na akademìâ nauk Ukraïni. Ìnstitut prikladnih problem mehanìki ta matematiki ìm. Â. S. Pìdstrigača, Mìnìsterstvo osvìti ì nauki Ukraïni. L'vìvs'kij nacìonal'nij unìversitet ìmenì Ìvana Franka, Akademìâ gìrnictva ta metalurgìï ìm. Stanìslava Stašìca, Krakìv Pol'ŝa. Fakul'tet prikladnoï matematiki. — L'vìv : Vidavničij centr LNU ìmenì Ìvana Franka, 2005. — 403, [1] s.. — Bibliogr. s. 383–403
Diferencìal'no-geometričnì ta lì-algebraïčnì osnovi doslìdžennâ ìntegrovnih nelìnìjnih dinamìčnih sistem na funkcìonal'nih mnogovidah — Differential-geometric and lie-algebraic foundations of studying integrable nonlinear dynamical systems on functional manifolds / Oksana Gentoš, Mikola Pritula, Anatolij PRYKARPATSKY ; za zagal'noû red. A. M. Samojlenka, A. K. PRIKARPATS'KOGO. — L'vìv : Vidavničij centr LNU ìmenì Ìvana Franka, 2006. — 406, [4] s.. — Bibliogr. s. 386–406
Differential-algebraic and bi-Hamiltonian integrability analysis of the Riemann hierarchy revisited / Yarema A. Prykarpatsky, Orest D. Artemovych, Maxim V. Pavlov, Anatoliy K. PRIKARPATSKY // Journal of Mathematical Physics ; ISSN 0022-2488. — 2012 vol. 53 iss. 10, s. 103521-1–103521-20. — Bibliogr. s. 103521-19–103521-20. — tekst: http://web.ebscohost.com/ehost/viewarticle?data=dGJyMPPp44rp2%2fdV0%2bnjisfk5Ie46bRRtq6vTq6k63nn5Kx95uXxjL6nrVGtqK5JspavSrirslKwqp5Zy5zyit%2fk8Xnh6ueH7N%2fiVbatrkqwqK9Ot5zqeezdu4jqnOJ6u9e3gKTq33%2b7t8w%2b3%2bS7ULCvtEu2qbM%2b5OXwhd%2fqu4ji3MSN6uLSffbq&hid=4109
cyfrowy identyfikator dokumentu: 10.1063/1.4761821
Differential-algebraic approach to constructing representations of commuting differentiations in functional spaces and its application to nonlinear integrable dynamical systems / Anatolij K. PRYKARPATSKI, Kamal N. Soltanov, Emin Özçağ // Communications in Nonlinear Science and Numerical Simulation ; ISSN 1007-5704. — 2014 vol. 19 iss. 5, s. 1644–1649. — Bibliogr. s. 1649, Abstr.. — tekst: http://www.sciencedirect.com/science/article/pii/S1007570413004292/pdfft?md5=eb8b5abc5cf23a4eb088edbeb9d9832d&pid=1-s2.0-S1007570413004292-main.pdf
keywords: differential rings, differential constraints, representation of differentials, non linear vector fields, conserved quantities, lax type integrability
cyfrowy identyfikator dokumentu: 10.1016/j.cnsns.2013.09.029
Differential-algebraic integrability analysis of the generalized Riemann type and Korteweg-de Vries hydrodynamical equations / Anatoliy K. PRYKARPATSKY, Orest D. Artemovych, Ziemowit Popowicz, Maxim V. Pavlov // Journal of Physics. A, Mathematical and Theoretical ; ISSN 1751-8113. — 2010 vol. 43 no. 29, s. 1-13. — Bibliogr. s. 12–13, Abstr.. — A. K. Prykarpatsky dod. afiliacja: The Ivan Franko State Pedagogical University, Ukraine. — tekst: http://iopscience.iop.org/1751-8121/43/29/295205/pdf/a10_29_295205.pdf
cyfrowy identyfikator dokumentu: 10.1088/1751-8113/43/29/295205
Discrete approximations on functional classes for the integrable nonlinear Schrödinger dynamical system: a symplectic finite-dimensional reduction approach / Jan L. Cieśliński, Anatolij K. PRYKARPATSKI // Journal of Mathematical Analysis and Applications ; ISSN 0022-247X. — 2015 vol. 430 iss. 1, s. 279–295. — Bibliogr. s. 294–295, Abstr.. — Publikacja dostępna online od: 2015-04-29. — tekst: https://www.sciencedirect.com/science/article/pii/S0022247X15004242/pdfft?md5=c0fa774a3dc85be25a984a1352d56fdf&pid=1-s2.0-S0022247X15004242-main.pdf
keywords: gradient-holonomic algorithm, discretization schemes, finite dimensional symplectic reduction approach, lax type representation, discrete nonlinear Schrodinger dynamical system
cyfrowy identyfikator dokumentu: 10.1016/j.jmaa.2015.04.084
Ergodic theory, Boole type transformations, dynamical systems theory / Anatolij K. PRYKARPATSKI // W: Current trends in analysis and its applications : proceedings of the 9th ISAAC congress : [5–9 August], Kraków 2013 / eds. Vladimir V. Mityushev, Michael V. Ruzhansky. — Switzerland ; Basel : Springer International Publishing ; Birkhäuser, 2015. — (Trends in Mathematics ; ISSN 2297-0215. Research Perspectives). — ISBN: 978-3-319-12576-3 ; e-ISBN: 978-3-319-12577-0. — S. 325–333. — Bibliogr. s. 332–333, Abstr.
keywords: invariant measures, generalized Boole type transformations, arithmetic properties, ergodic dynamical systems, Frobenius-Perron operator
cyfrowy identyfikator dokumentu: 10.1007/978-3-319-12577-0_38