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Vol. 70 No. 2 (2018)

Published: 25.02.2018

Research articles

Application of the Faber polynomials in proving combinatorial identities

kyzy M. Imash, F. G. Abdullayev, V. V. Savchuk

151-164
- PDF (Ukrainian)
On the rigidity of rank gradient in a group of intermediate growth

R. I. Grigorchuk, R. Kravchenko

165-176
- PDF
Almost periodic solutions of Lotka – Volterra systems with diffusion and impulsive action

A. V. Dvornyk, O. O. Struk, V. I. Tkachenko

177-192
- PDF (Ukrainian)
Linear and nonlinear heat equations on a $p$ -adic ball

A. N. Kochubei

193-205
- PDF
Application of the method of averaging to the problems of optimal control over functional-differential equations

T. V. Koval’chuk, V. I. Kravets, V. V. Mohyl'ova, A. N. Stanzhitskii

206-215
- PDF (Ukrainian)
Limit theorems for the solutions of boundary-value problems

V. A. Mikhailets, O. B. Pelekhata, N. V. Reva

216-223
- PDF (Russian)
Kolmogorov widths and bilinear approximations of the classes of periodic functions of one and many variables

A. S. Romanyuk

224-235
- PDF (Ukrainian)
Asymptotic $Σ$ -solutions to singularly perturbed Benjamin – Bona – Mahony equation with variable coefficients

V. G. Samoilenko, Yu. I. Samoilenko

236-254
- PDF (Ukrainian)
On equations with generalized periodic right-hand side

M. Fečkan, M. Pospíšil

255-279
- PDF
Least-squares method in the theory of matrix differential-algebraic boundary-value problems

M. V. Dzyuba, O. V. Nesmelova, S. M. Chuiko

280-292
- PDF (Ukrainian)

Short communications

Differential-geometric structure and the Lax – Sato integrability of a class of dispersionless heavenly type equations

О. Ye. Hentosh, N. N. Pritula, Ya. A. Prykarpatsky

293-297
- PDF