3 papers
math.FA2026
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…
nlin.SI2024
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…
math-ph2023
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…