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 (January 2019)
On the post-Darwin approximation of the Maxwell – Lorentz equations of motion of point charges in the absence of neutrality
Ukr. Mat. Zh. - 2019. - 71, № 1. - pp. 117-128
The existence of holomorphic (in time) solutions of the nonrelativistic equations of motion of nonneutral systems of point charges that do not contain inverse powers of the velocity of light greater than three is proved by using the Cauchy theorem. The indicated equations contain time derivatives of the accelerations of charges.
Correctness of one nonlocal boundary-value problem with constant coefficient for the nonlinear mixed-type equation of the second kind of the second order in the space
Ukr. Mat. Zh. - 2019. - 71, № 1. - pp. 47-58
Under certain conditions imposed on the coefficients of the nonlinear mixed-type equation of the second kind of the second order in the space, we prove the correctness of the solution of a nonlocal boundary-value problem.
Ukr. Mat. Zh. - 2019. - 71, № 1. - pp. 139-145
Using the quasi-inversion method we obtain necessary and sufficient conditions for the solvability of the main (according to Galiullin’s classification) inverse problem in the class of first-order Itˆo stochastic differential systems with random perturbations from the class of processes with independent increments, with diffusion degenerate in a part of variables and with given properties, depending on a part of variables.