23 citations · 163 across the 25 of their papers we have counts for
26 papers
Invariant measures for discrete dynamical systems and ergodic properties of generalized Boole type transformations
Denis Blackmore, Jolanta Golenia, Yarema A. Prykarpatsky +1
Invariant ergodic measures for generalized Boole type transformations are studied using an invariant quasi-measure generating function approach based on special solutions to the Fr…
On Local Convexity Of Nonlinear Mappings Between Banach Spaces
Iryna Banakh, Taras Banakh, Anatolij Plichko +1
We find conditions for a smooth nonlinear map between open subsets of Hilbert or Banach spaces to be locally convex in the sense that for some and each posit…
Modern Classical Electrodynamics and Electromagnetic Radiation - Vacuum Field Theory Aspects
N. N. Bogolubov, A. K. Prykarpatsky
The work is devoted to studying some new classical electrodynamics models of interacting charged point particles and related with them physical aspects. Based on the vacuum field t…
On the Complete Integrability of a One Generalized Riemann Type Hydrodynamic System
Denis Blackmore, Yarema A. Prykarpatsky, Orest D. Artemowych +1
The complete integrability of a generalized Riemann type hydrodynamic system is studied by means of symplectic and differential-algebraic tools. A compatible pair of polynomial Poi…
The differential-algebraic and bi-Hamiltonian integrability analysis of the Riemann type hierarchy revisited
Yarema A. Prykarpatsky, Orest D. Artemovych, Maxim V. Pavlov +1
A differential-algebraic approach to studying the Lax type integrability of the generalized Riemann type hydrodynamic hierarchy is revisited, its new Lax type representation and Po…
A vertex operator representation of solutions to the Gurevich-Zybin hydrodynamical equation
Yarema A. Prykarpatsky, Denis Blackmore, Jolanta Golenia +1
An approach based on the spectral and Lie - algebraic techniques for constructing vertex operator representation for solutions to a Riemann type Gurevicz-Zybin hydrodynamical hiera…