Wykaz publikacji wybranego autora

Anatolij Prykarpatsky, prof. dr hab.

profesor zwyczajny

Wydział Matematyki Stosowanej
WMS-krr, Katedra Równań Różniczkowych

Identyfikatory Autora Informacje o Autorze w systemach zewnętrznych

ORCID: 0000-0001-5124-5890 orcid iD

ResearcherID: brak

Scopus: 57210368048

System Informacyjny AGH (SkOs)

1
  • A Borsuk-Ulam type generalization of the Leray-Schauder fixed point theorem
2
  • A current algebra approach to the equilibrium classical statistical mechanics and its applications
3
  • A generalized hydrodynamical Gurevich-Zybin equation of Riemann type and its Lax type integrability
4
  • A geometrical approach to quantum holonomic computing algorithms
5
  • A geometrical approach to quantum holonomic computing algorithms
6
  • A kinetic model of the plasma flow at the magnetic z-pinch and the plasmoid structure
7
  • A new exactly solvable spatially one-dimensional quantum superradiance fermi-medium model and its quantum solitonic states
8
9
  • 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
10
  • A symplectic generalization of the Peradzyński helicity theorem and some applications
11
  • A vertex operator representation of solutions to the Gurevich-Zybin hydrodynamical equation
12
  • About a finite dimensional reduction method for conservative dynamical systems and its applications
13
14
  • Bogolyubov generating functional method in statistical physics and ”collective”-variables transform within grand canonical ensemble
15
  • Central extension approach to integrable field and lattice-field systems in $(2+1)$-dimensions
16
  • Classical electromagnetic theory revisiting: the A. M. Ampere law and the vacuum field theory approach
17
  • Dark equations and their light integrability
18
19
20
  • Differential-algebraic integrability analysis of the generalized Riemann type and Korteweg-de Vries hydrodynamical equations
21
22
  • Ergodic theory, Boole type transformations, dynamical systems theory
23
  • Finite-dimensional reductions of conservative dynamical systems and numerical analysis
24
  • Generalized de Rham-Hodge complexes, the related characteristic Chern classes, and some applications to integrable multidimensional differential systems on Riemannian manifolds
25
  • Generalized de Rham-Hodge theory of multidimensional Delsarte transmutations of differential operators and its applications for nonlinear dynamic systems