Wykaz publikacji wybranego autora

Anatolij Prykarpatsky, prof. zw. dr hab.

profesor zwyczajny

Wydział Matematyki Stosowanej
WMS-krr, Katedra Równań Różniczkowych



Opisy publikacji wcześniejszych zobacz: bpp.agh.edu.pl/old.


Liczba pozycji spełniających powyższe kryteria selekcji: 66, z ogólnej liczby 73 publikacji Autora


1
  • Analìz optimal'nih strategìj portfel'noï konkurencìjnoï modelì rinku akcìjOptimal 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

  • brak zdefiniowanych słów kluczowych

2
3
  • 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

4
  • 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

  • brak zdefiniowanych słów kluczowych

5
  • 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

6
7
  • 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, the MHD superfluid equations, the Peradzynski helicity theorem, symplectic and symmetry analysis, vorticity invariants, Hamiltonian and Poissonian structures

8
  • 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

9
  • 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. 2 no. 8, s. 381–413. — Bibliogr. s. 408–413, Abstr.

  • keywords: Lagrangian and Hamiltonian formalisms, the Amper law, Lorentz type force, Lorenz constraint, Maxwell electromagnetic equations, Jefimenko equations, radiation theory, vFeynman’s approach legacy, vacuum field theory approach

10
  • 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

11
12
13
  • 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

  • brak zdefiniowanych słów kluczowych

14
15
  • 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

16
  • Funkcìonal'no-operatornij analìz problemi zyžnostì dlâ metodu diskretnih aproksimacìj F. Kalodžero v banahovih prostorahFunctional-operator analysis of the convergence problem for the F. Calogero approximation method in Banach spaces / Mirosław LUŚTYK, Anatolij PRYKARPATSKY, Mikola Pritula, Miroslava Vovk // Matematičnij Vísnik NTŠ ; ISSN 1812-6774. — 2012 t. 9, s. 168–179. — Bibliogr. s. 178–179

  • brak zdefiniowanych słów kluczowych

17
  • Hidden symmetries of lax integrable nonlinear systems / Denis Blackmore, Yarema Prykarpatsky, Jolanta GOLENIA, Anatoli 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, Abstr.. — tekst: http://www.scirp.org/journal/PaperDownload.aspx?paperID=38417

  • keywords: Lax integrability, Lie-algebraic approach, differential-algebraic methods, gradient holonomic algorithm, Marsden-Weinstein reduction method, R-Matrix structure, symplectic structures, compatible poissonian structures, lax representation, poissonian manifold

18
19
20
  • Introductive backgrounds to modern quantum mathematics with application to nonlinear dynamical systems / Anatoliy K. PRYKARPATSKY, Nikolai N. Bogoliubov Jr., Jolanta GOLENIA, Ufuk Taneri // International Journal of Theoretical Physics ; ISSN 0020-7748. — 2008 vol. 47 no. 11, s. 2882–2897. — Bibliogr. s. 2896–2897, Abstr.. — tekst: file:///C:/Users/user/Downloads/10773_2008_Article_9721%20(1).pdf

  • keywords: quantum mathematics, creation and annihilation operators, Bogolubof functional equation, nonlinear dynamical systems, fock space imbedding method, C*-algebra representations

21
  • Introductory background to modern quantum mathematics with application to nonlinear dynamical systems / A. K. PRYKARPATSKY, J. GOLENIA, N. N. Bogolubov Jr., U. Taneri // W: Further progress in analysis : proceedings of the 6th international ISAAC congress : Ankara, Turkey, 13–18 August 2007 / eds. H. G. W. Begehr, A. O. Çelebi, R. P. Gilbert. — [S. l.] : World Scientific Publishing Co. Pte. Ltd., cop. 2009. — ISBN: 978-981-283-732-5 ; ISBN10: 981-283-732-9. — S. 760–779. — Bibliogr. s. 777–779

  • brak zdefiniowanych słów kluczowych

22
  • Invariant measures for discrete dynamical systems and ergodic properties of generalized Boole-type transformations / D. Blackmore, J. GOLENIA, A. K. PRYKARPATSKY, Ya. A. Prykarpatsky // Ukrainian Mathematical Journal ; ISSN 0041-5995. — 2013 t. 65 no. 1, s. 44–57. — Bibliogr. s. 57. — Afiliacja J. Golenia: Univ. Sci. and Technology, Krakow; A. K. Prykarpatsky: Univ. Sci. and Technology, Krakow and Ivan Franko Ped. State Univ.; w bazie Web of Science zakres stron: 47–63

  • brak zdefiniowanych słów kluczowych

23
  • Isospectral integrability analysis of dynamical systems on discrete manifolds / Denis Blackmore, Anatolij K. PRYKARPATSKY, Yarema A. Prykarpatsky // Opuscula Mathematica ; ISSN 1232-9274. — Tytuł poprz.: Scientific Bulletins of Stanisław Staszic Academy of Mining and Metallurgy. Opuscula Mathematica. — 2012 vol. 32 no. 1, s. 41–66. — Bibliogr. s. 64–66, Abstr.. — Dod. afiliacja autora: The Ivan Franko State Pedagogical University, Drohobych, Lviv. — tekst: http://journals.bg.agh.edu.pl/OPUSCULA/32-1/OM_32-1-04.pdf

  • keywords: asymptotic analysis, gradient holonomic algorithm, conservation laws, Poissonian structures, Lax representation, finite-dimensional reduction, Liouville integrability, nonlinear discrete dynamical systems

24
  • Mathematical foundations of the classical Maxwell-Lorentz electrodynamic models in the canonical Lagrangian and Hamiltonian formalisms / Denis Blackmore, Anatolij K. PRYKARPATSKI, Nikolai N. Bogolubov (Jr.), Jan J. Sławianowski // Universal Journal of Physics and Application ; ISSN 2331-6535. — 2013 vol. 1 no. 2, s. 160–178. — Bibliogr. s. 176–178, Abstr.

  • keywords: least action principle, vacuum field theory, lagrangian and hamiltonian formalism, Lorentz force problem, feynman approach, Maxwell equations, Lorentz constraint, electron radiation theory

25
  • Maxwell-Lorentz electrodynamics revisited via the Lagrangian formalism and Feynman proper time paradigm / Nikolai N. Bogolubov Jr, Anatolij K. PRYKARPATSKI, Denis Blackmore // Mathematics [Dokument elektroniczny]. — Czasopismo elektroniczne ; ISSN 2227-7390. — 2015 vol. 3 iss. 2, s. 190–257. — Bibliogr. s. 252–257, Abstr.. — A. K. Prykarpatski – dod. afiliacja: The Abdus Salam International Centre of Theoretical Physics, Italy. — tekst: http://www.mdpi.com/2227-7390/3/2/190/pdf

  • keywords: Lorentz force, Lagrangian and Hamiltonian formalisms, Lorenz constraint, Maxwell electromagnetic equations, radiation theory, vacuum field theory approach, Ampère's law