4 citations · 5 across the 5 of their papers we have counts for
5 papers
On closed linear subspaces embedded into Banach spaces and their finite-dimensionality
Yarema Prykarpatskyy, Alexander Balinsky
This paper studies a Grothendieck-type finite-dimensionality problem for closed linear subspaces embedded in Banach spaces. Let be a closed linear sub…
On integrability of a new dynamical system associated with the BBM-type hydrodynamic flow
Denys Dutykh, Yarema A. Prykarpatskyy
This article explores the exceptional integrability property of a family of higher-order Benjamin-Bona-Mahony (BBM)-type nonlinear dispersive equations. Here, we highlight its deep…
Poisson structures of some heavenly type dynamical systems
Yarema Prykarpatskyy
The paper investigates the Poisson structures associated with dynamical systems of the heavenly type, focusing on the Mikhalev-Pavlov and Plebański equation. The dynamical system i…
Some remarks on smooth mappings of Hilbert and Banach spaces and their local convexity property
Yarema A. Prykarpatskyy, Petro Ya. Pukach, Myroslava I. Vovk +1
We analyze smooth nonlinear mappings for Hilbert and Banach spaces that carry small balls to convex sets, provided that the radius of the balls is small enough. Being focused on th…
Steen-Ermakov-Pinney equation and integrable nonlinear deformation of one-dimensional Dirac equation
Yarema Prykarpatskyy
The paper deals with nonlinear one-dimensional Dirac equation. We describe its invariants set by means of the deformed linear Dirac equation, using the fact that two ordinary diffe…