Ukrains’kyi Matematychnyi Zhurnal
(Ukrainian Mathematical Journal)
Editor-in-Chief: A. M. Samoilenko
ISSN: 0041-6053, 1027-3190
Ukrains'kyi Matematychnyi Zhurnal (UMZh) was founded in May 1949. Journal is issued by Institute of Mathematics NAS of Ukraine. English version is reprinted in the Springer publishing house and called Ukrainian Mathematical Journal.
Ukrains'kyi Matematychnyi Zhurnal focuses on research papers in the principal fields of pure and applied mathematics. The journal is published monthly, each annual volume consists of 12 issues. Articles in Ukrainian, Russian and English are accepted for review.
UMZh indexed in: MathSciNet, zbMATH, Scopus, Web of Science, Google Scholar.
Latest Articles (November 2019)
Cohomology of $q$-deformed Witt – Virasoro superalgebras of the Hom type
↓ Abstract
Ukr. Mat. Zh. - 2019. - 71, № 11. - pp. 1539-1552
UDC 512.5
We study Virasoro-type extensions of the $q$-deformed Witt Hom – Lie superalgebras. Moreover, we provide the cohomology of the $q$-deformed Witt – Virasoro superalgebras of the Hom type.
Deterministic diffusion
↓ Abstract
Ukr. Mat. Zh. - 2019. - 71, № 11. - pp. 1553-1569
UDC 517.938
In this paper, we present a series of definitions and properties of lifting dynamical systems (LDS) corresponding to the notion of deterministic diffusion. We give heuristic explanations of the mechanism of formation of deterministic diffusion in LDS and the anomalous deterministic diffusion in the case of transportation in long billiard channels with spatially periodic structures and nonideal reflection law.
The expressions for the coefficient of deterministic diffusion are obtained.
On the spectral properties of the one-dimensional Stark operator on the half-line
Khanmamedov A. Kh., Makhmudova M. G.
↓ Abstract
Ukr. Mat. Zh. - 2019. - 71, № 11. - pp. 1579-1584
UDC 517.9
We consider a one-dimensional Stark operator on a half-line with the Dirichlet boundary condition at zero. The asymptotic behavior of the eigenvalues at infinity is found.
