Ukrains’kyi Matematychnyi Zhurnal
(Ukrainian Mathematical Journal)
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.
Latest Articles (November 2019)
Asymptotic behavior of the solutions of boundary-value problems for singularly perturbed integro-differential equations
Ukr. Mat. Zh. - 2019. - 71, № 11. - pp. 1466-1479
We study the asymptotic behavior of the solutions of a boundary-value problem with boundary jumps for linear integrodifferential equations of the third order with small parameters at the two highest derivatives. The asymptotic convergence of the solution of a singularly perturbed integrodifferential boundary-value problem to the solution of the corresponding modified degenerate boundary-value problem is proved.
Non-periodic locally soluble groups with non-Dedekind locally nilpotent norm of decomposable subgroups
Ukr. Mat. Zh. - 2019. - 71, № 11. - pp. 1519-1528
We study the relations between the properties of nonperiodic groups and the norms of their decomposable subgroups. The influence of restrictions imposed on the norm of decomposable subgroups and on the properties of the group is analyzed under the condition that this norm is non-Dedekind and locally nilpotent. We also describe the structure of nonperiodic locally soluble groups for which the norm of decomposable subgroups possesses the indicated properties.
Generalization of resonance equations for the Laguerre- and Legendre-type polynomials to the fourth-order equations
Ukr. Mat. Zh. - 2019. - 71, № 11. - pp. 1529-1538
A recurrent algorithm for finding particular solutions of а fourth-order resonance equation connected with the generalization of Laguerre and Legendre polynomials is constructed and substantiated. For this purpose, we use the general theorem on the representation of partial solutions of resonance equations in Banach spaces, which was proved by V. L. Makarov in 1976. An example of general solution to the resonant equations with a differential operator for the Laguerre-type polynomials is presented.