A. Prykarpatsky

发表

The Correlation Energy of Electron Gas at High Density

A. Prykarpatsky, U. Taneri, N. N. Bogolubov, 2002 .

THE ANALYTIC ASPECTS OF THE BOGOLIUBOV GENERATING FUNCTIONAL EQUATIONS WITHIN THE BOBOLIUBOV CANONICAL TRANSFORMATION METHOD

N. Bogolubov, A. Prykarpatsky, 2007 .

The Bogolubov generating functional method in statistical physics and the Wigner transform (Poster Presentation)

N. Bogolubov, A. Prykarpatsky, 2007 .

Statistically Optimal Strategy Analysis of a Competing Portfolio Market with a Polyvariant Profit Function

D. Blackmore, A. Prykarpatsky, B. Kyshakevych, 2010, 1005.2661.

Neumann-Bogolyubov-Rosochatius Oscillatory Dynamical Systems and their Integrability Via Dual Moment Maps. Part I

A. Prykarpatsky, O. Hentosh, M. Kopych, 1995 .

The non-polynomial conservation laws and integrability analysis of generalized Riemann type hydrodynamical equations

A. Prykarpatsky, Z. Popowicz, 2010, 1005.3942.

On a Nonlocal Ostrovsky-Whitham Type Dynamical System, Its Riemann Type Inhomogeneous Regularizations and Their Integrability

A. Prykarpatsky, M. Pavlov, Z. Popowicz, 2010, 1001.1145.

United Nations Educational Scientific and Cultural Organization and International Atomic Energy Agency THE ABDUS SALAM INTERNATIONAL CENTRE FOR THEORETICAL PHYSICS ON BENNEY TYPE HYDRODYNAMICAL SYSTEMS AND THEIR BOLTZMANN-VLASOV EQUATIONS KINETIC MODELS

A. Prykarpatsky, Russian Federation., 2006 .

The general differential-geometric structure of multidimensional Delsarte transmutation operators in parametric functional spaces and their applications in soliton theory. Part 2

A. Samoilenko, A. Prykarpatsky, J. Golenia, 2004, math-ph/0404016.

The Finite-Dimensional Moser Type Reduction of Modified Boussinesq and Super-Korteweg-de Vries Hamiltonian Systems via the Gradient-Holonomic Algorithm and Dual Moment Maps. Part I

D. Blackmore, A. Prykarpatsky, O. Hentosh, 1997 .

Pattern formation in neural dynamical systems governed by mutually Hamiltonian and gradient vector field structures

V. Gafiychuk, A. Prykarpatsky, 2004 .

Introductive Backgrounds to Modern Quantum Mathematics with Application to Nonlinear Dynamical Systems

A. Prykarpatsky, U. Taneri, J. Golenia, 2008, 0902.4411.

Modern Classical Electrodynamics and Electromagnetic Radiation - Vacuum Field Theory Aspects

N. Bogolubov, A. Prykarpatsky, 2011, 1204.6033.

De Rham-Hodge-Skrypnik theory. A survey of the spectral and differential geometric aspects of the De Rham-Hodge-Skrypnik theory related with Delsarte transmutation operators in multidimension and its applications to spectral and soliton problems. Part 1

A. Samoilenko, A. Prykarpatsky, Y. Prykarpatsky, 2004, math-ph/0406062.

Versal Deformations of a Dirac Type Differential Operator

D. Blackmore, A. Prykarpatsky, 1999, math/9907211.

The Nonabelian Liouville-Arnold Integrability by Quadratures Problem: a Symplectic Approach

A. Prykarpatsky, 1999, math/9905145.

On kinetic Boltzmann equations and related hydrodynamic flows with dry viscosity

D. Blackmore, A. Prykarpatsky, N. Bogoliubov, 2007 .

The de Rham-Hodge-Skrypnik theory of Delsarte transmutation operators in multidimension and its applications

A. Samoilenko, A. Prykarpatsky, Y. Prykarpatsky, 2004, math-ph/0404026.

Algebraic and differential geometric aspects of the integrability of nonlinear dynamical systems on infinite-dimensional functional manifolds

A. Prykarpatsky, I. Mykytiuk, 1998 .

The differential-algebraic and bi-Hamiltonian integrability analysis of the Riemann type hierarchy revisited

A. Prykarpatsky, M. Pavlov, Y. Prykarpatsky, 2011, 1108.0878.

Differential-algebraic integrability analysis of the generalized Riemann type and Korteweg–de Vries hydrodynamical equations

A. Prykarpatsky, M. Pavlov, Z. Popowicz, 2010, 1005.2660.

THE AKNS HIERARCHY REVISITED: A VERTEX OPERATOR APPROACH AND ITS LIE-ALGEBRAIC STRUCTURE

D. Blackmore, A. Prykarpatsky, 2010, 1012.1024.

On the Complete Integrability of Nonlinear Dynamical Systems on Discrete Manifolds within the Gradient-Holonomic Approach

N. Bogolubov, A. Prykarpatsky, Y. Prykarpatsky, 2010, 1010.2531.

A new model for the immune clonal networks

A. K. Prykarpatsky, V. V. Gafiychuk, V. Gafiychuk, 2005, q-bio/0502040.

Integrable three-dimensional coupled nonlinear dynamical systems related with centrally extended operator Lie algebras

A. Prykarpatsky, O. Hentosh, 2007 .

Nonlinear Dynamical Systems of Mathematical Physics: Spectral and Symplectic Integrability Analysis

Denis Blackmore, D. Blackmore, A. Prykarpatsky, 2011 .

Algebraic Integrability of Nonlinear Dynamical Systems on Manifolds

A. Prykarpatsky, I. Mykytiuk, 1998 .

Replicator - Mutator Evolutionary Dynamics

V. V. Gafiychuk, A. Prykarpatsky, Anatoliy K. Prykarpatsky, 2004 .

The properties of quasispecies dynamics in molecular evolution

V. Gafiychuk, A. Prykarpatsky, 2003, cond-mat/0309631.

SYMPLECTIC FIELD THEORY APPROACH TO STUDYING ERGODIC MEASURES RELATED WITH NONAUTONOMOUS HAMILTONIAN SYSTEMS

A. Prykarpatsky, 2005 .

THE ABDUS SALAM INTERNATIONAL CENTRE FOR THEORETICAL PHYSICS A BORSUK-ULAM TYPE GENERALIZATION OF THE LERAY-SCHAUDER FIXED POINT THEOREM

A. Prykarpatsky, A. Salam, 2007 .

AN INFINITE-DIMENSIONAL BORSUK – ULAM TYPE GENERALIZATION OF THE LERAY – SCHAUDER FIXED POINT THEOREM AND SOME APPLICATIONS

Udc, A. Prykarpatsky, 2022 .

The Dicke Model

Ufuk Taneri, A. Prykarpatsky, U. Taneri, 2002 .

Invariant measures for discrete dynamical systems and ergodic properties of generalized Boole-type transformations

D. Blackmore, A. Prykarpatsky, J. Golenia, 2013, Ukrainian Mathematical Journal.

A geometrical approach to quantum holonomic computing algorithms

Anatoly M. Samoilenko, Y. A. Prykarpatsky, Ufuk Taneri, 2004, Math. Comput. Simul..

A Symplectic Generalization of the Peradzyński Helicity Theorem and Some Applications

A. Prykarpatsky, J. Golenia, N. Bogoliubov, 2008, 0902.4408.

HELICITY THEOREM AND SOME APPLICATIONS

A. Prykarpatsky, A. Salam, Russian Federation., 2007 .

The Relativistic Electrodynamics Least Action Principles Revisited: New Charged Point Particle and Hadronic String Models Analysis

N. Bogolubov, A. Prykarpatsky, U. Taneri, 2009, 0902.4400.

The vacuum structure, special relativity theory, and quantum mechanics: A return to the field theory approach without geometry

N. Bogolubov, A. Prykarpatsky, U. Taneri, 2008, 0808.0871.

Electromagnetic Waves

J. Maxwell, N. Bogolubov, C. Hines, 2020, Fundamentals of Physics II.

On the Liouville-Arnold Integrable Flows Related with Quantum Algebras and Their Poissonian Representations

D. Blackmore, A. Prykarpatsky, A. Samoilenko, 2004, nlin/0407003.

On invariant measure structure of ergodic discrete dynamical systems

A. Prykarpatsky, 1999, math/9906146.

2 2 Ju n 19 99 On invariant measure structure of a class of ergodic discrete dynamical systems

A. Prykarpatsky, 1999 .

ON THE ERGODIC AND SPECIAL PROPERTIES OF GENERALIZED BOOLE TRANSFORMATIONS

A. Prykarpatsky, J. Feldman, 2007 .

Isospectral integrability analysis of dynamical systems on discrete manifolds

D. Blackmore, A. Prykarpatsky, Y. Prykarpatsky, 2012 .

Invariant measures for discrete dynamical systems and ergodic properties of generalized Boole type transformations

A. Prykarpatsky, J. Golenia, Y. Prykarpatsky, 2012, 1210.1746.

THE AKNS HIERARCHY AND THE GUREVICH-ZYBIN DYNAMICAL SYSTEM INTEGRABILITY REVISITED

D. Blackmore, A. Prykarpatsky, Yarema Pprykarpatsky, 2012 .

A vertex operator representation of solutions to the Gurevich-Zybin hydrodynamical equation

D. Blackmore, A. Prykarpatsky, J. Golenia, 2011, 1105.4403.

The gradient-holonomic integrability analysis of a Whitham-type nonlinear dynamical model for a relaxing medium with spatial memory

A. Prykarpatsky, M. Prytula, 2006 .

The spectral and differential geometric aspects of a generalized De Rham-Hodge theory related with Delsarte transmutation operators in multidimension and its applications to spectral and soliton problems

A. Prykarpatsky, A. Samoilenko, Y. Prykarpatsky, 2006 .

The generalized de Rham-Hodge theory aspects of Delsarte-Darboux type transformations in multidimension

A. Samoilenko, A. Prykarpatsky, Y. Prykarpatsky, 2005 .

The Structure of Gelfand-Levitan-Marhenko Type Equations for Delsarte Transmutation Operators of Linear Multidimensional Differential Operators and Operator Pencils. Part 1

A. Prykarpatsky, J. Golenia, Y. Prykarpatsky, 2005 .

A survey of the spectral and differential geometric aspects of the De Rham-Hodge-Skrypnik theory related with Delsarte transmutation operators in multidimension and its applications to spectral and soliton problems. Part 2

A. Samoilenko, A. Prykarpatsky, Y. Prykarpatsky, 2004, math-ph/0406064.

THE ABDUS SALAM INTERNATIONAL CENTRE FOR THEORETICAL PHYSICS ON GENERALIZED DE RHAM-HODGE COMPLEXES, THE RELATED CHARACTERISTIC CHERN CLASSES AND SOME APPLICATIONS TO INTEGRABLE MULTI-DIMENSIONAL DIFFERENTIAL SYSTEMS ON RIEMANNIAN MANIFOLDS

N. Bogolubov, A. Prykarpatsky, 2007 .

A Survey Of The Spectral And Di ff erential Geometric Aspects Of The Generalized De Rham-Hodge Theory Related With Delsarte Transmutation Operators In Multidimension And Applications To Spectral And Soliton Problems Part II ∗

A. Samoilenko, A. Prykarpatsky, Y. Prykarpatsky, 2006 .

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 PART I

A. Samoilenko, A. Prykarpatsky, Y. Prykarpatsky, 2005 .

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

A. Samoilenko, A. Prykarpatsky, Y. Prykarpatsky, 2005 .

A SURVEY OF THE SPECTRAL AND DIFFERENTIAL GEOMETRIC ASPECTS OF THE DE RHAM-HODGE-SKRYPNIK THEORY RELATED WITH DELSARTE TRANSMUTATION OPERATORS IN MULTIDIMENSION AND ITS APPLICATIONS TO SPECTRAL AND SOLITON PROBLEMS. PART 1

A. Samoilenko, A. Prykarpatsky, Y. Prykarpatsky, 2004 .

The general differential-geometric structure of multidimensional Delsarte transmutation operators in parametric functional spaces and their applications in soliton theory. Part 2

A. Samoilenko, A. Prykarpatsky, J. Golenia, 2004, math-ph/0404016.

THE MULTIDIMENSIONAL DELSARTE TRANSMUTATION OPERATORS, THEIR DIFFERENTIAL-GEOMETRIC STRUCTURE AND APPLICATIONS. PART 1

A. Samoilenko, A. Prykarpatsky, Y. Prykarpatsky, 2003 .

The Delsarte-Darboux type binary transformations and their differential-geometric and operator structure. Part 1

A. Samoilenko, A. Prykarpatsky, Y. Prykarpatsky, 2004, math-ph/0403055.

The Structure of Gelfand-Levitan-Marhenko Type Equations : Part 1 75 2 Generalized Lagrangian identity , its differential-geometric structure and Delsarte transmutation operators

A. Prykarpatsky, J. Golenia, Prykarpatsky, 2005 .

DIFFERENTIAL-GEOMETRIC AND TOPOLOGICAL STRUCTURE OF MULTIDIMENSIONAL DELSARTE TRANSMUTATION OPERATORS

A. Samoilenko, A. Prykarpatsky, Y. Prykarpatsky, 2004, math-ph/0403054.

Analysis of solutions of a noncanonical Hamilton–Jacobi equation using the generalized characteristics method and the Hopf–Lax representations

A. Prykarpatsky, Miroslaw Luśtyk, Julian Janus, 2009 .

United Nations Educational, Scientific and Cultural Organization and International Atomic Energy Agency the Abdus Salam International Centre for Theoretical Physics Introductive Backgrounds of Modern Quantum Mathematics with Application to Nonlinear Dynamical Systems

A. Prykarpatsky, U. Taneri, J. Golenia, 2022 .

Replicator Dynamics and Mathematical Description of Multi-Agent Interaction in Complex Systems

V. Gafiychuk, A. Prykarpatsky, Vasyl V Gafiychuk, 2004 .

Multi-agent interaction of complex systems in restricted resources environment ∗

V. Gafiychuk, A. Prykarpatsky, 2004 .

The solution existence and convergence analysis for linear and nonlinear differential-operator equations in Banach spaces within the Calogero type projection-algebraic scheme of discrete approximations

A. Prykarpatsky, M. Lustyk, J. Janus, 2009 .

On the Complete Integrability of a One Generalized Riemann Type Hydrodynamic System

D. Blackmore, A. Prykarpatsky, Y. Prykarpatsky, 2012, 1204.0251.

International Atomic Energy Agency THE ABDUS SALAM INTERNATIONAL CENTRE FOR THEORETICAL PHYSICS ON THE COMPLETE INTEGRABILITY OF NONLINEAR DYNAMICAL SYSTEMS ON DISCRETE MANIFOLDS WITHIN THE GRADIENT-HOLONOMIC APPROACH

A. Prykarpatsky, Y. Prykarpatsky, 2011 .