Vol. 70 No. 5 (2018)

Research articles

• Second-order differential subordinations on a class of analytic functions defined by Rafid-operator

  A. Akgül

  587-598

  • PDF

• Numerical solutions of fractional system, two-point BVPs using iterative reproducing kernel algorithm

  M. Al-Smadi, Z. Altawallbeh, A. M. Ateiwi, I. V. Komashinskaya

  599-610

  • PDF

• Divergence theorem in the $L_2$ -version. Application to the Dirichlet problem

  Yu. V. Bogdanskii

  611-624

  • PDF (Russian)

• On the approximation of the classes $W_{β}^rH^{α}$ by biharmonic Poisson integrals

  U. Z. Hrabova, I. V. Kalchuk, T. A. Stepanyuk

  625-634

  • PDF (Ukrainian)

• On Darboux vector in Lorentzian 5-space

  E. Iyigün

  635-641

  • PDF

• Application of the method of averaging to the problems of optimal control for ordinary differential equations on the semiaxis

  O. D. Kichmarenko

  642-654

  • PDF (Ukrainian)

• Joint universality for $L$-functions from Selberg class and periodic Hurwitz zeta-functions

  R. Macaitienė

  655-671

  • PDF (Ukrainian)

• Construction of intermediate differentiable functions

  V. K. Maslyuchenko, V. S. Mel'nik

  672-681

  • PDF (Ukrainian)

• Continued-fractions representations of the functions $\mathrm{s}\mathrm{h} z, \mathrm{c}\mathrm{h} z, \mathrm{s}\mathrm{i}\mathrm{n} z, \mathrm{c}\mathrm{o}\mathrm{s} z$

  M. M. Pahirya

  682-698

  • PDF (Ukrainian)

• Multiple modules of continuity and the best approximations of periodic functions in metric spaces

  S. A. Pichugov

  699-707

  • PDF (Russian)

• Best approximations of the Cauchy – Szegö kernel in the mean on the unit circle

  V. V. Savchuk

  708-714

  • PDF (Ukrainian)

• Necessary and sufficient conditions for the absolute instability of solutions of linear differential-difference equations with self-adjoint operator coefficients

  V. Yu. Slyusarchuk

  715-724

  • PDF (Ukrainian)