Vol. 14 No. 1 (2017): Vol. 14 No. 1 (2017): Analysis and Applications

O. К. Bakhtin, S. V. Gryshchuk (Eds.) // Proceedings of the Institute of Mathematics of the National Academy of Sciences of Ukraine. Vol. 14, No. 1.— Kyiv: Institute of Mathematics, NAS of Ukraine, 2017.— 285с.

This collections of papers is devoted to actual problems of analysis and its applications in Theory of multivalued mappings, mathematical physics and applied sciences. It can be interested for scientists, tutors and post graduate students

Published: 2017-02-21

Editorial papers

Zelinskii Yurii Borysovych: on the occasion of his 70-th birthday

9-24
- PDF (Українська)

Research papers

Estimates of internal radii for mutually disjoint domains

A. K. Bakhtin

25-33
- PDF (Русский)
An extremal decomposition of the complex plane with fixed poles

Alexander Bakhtin, Galina Bakhtina, Ирина Денега

34-38
- PDF (Русский)
The estimations of the area of a disk image for Sobolev classes

V. V. Bilet, B. A. Klishchyk, R. R. Salimov

39-45
- PDF (Русский)
Coefficients of transitiveness of P-critical posets

V. M. Bondarenko, M. V. Styopochkina

46-51
- PDF
The convergence rate of the group $\ varphi $ -deviations in the class of analytic functions $ H ^ \ psi_ \ infty $

M. A. Veremij, M. V. Gaevskii

52-60
- PDF (Українська)
Rational approximants of Pad\'e type of some class of double power series

G. M. Veselovska, A. P. Golub

61-81
- PDF (Українська)
Some inequalities for inner radii of partially overlapping domains

L. V. Vyhivska

82-89
- PDF
Approximations of entire functions by polynomials of the best standard approximation

V. A. Vojtovich

90–102
- PDF (Українська)
Gaar’s conditions and trigonometric polynomials

G. A. Voloshin, V. M. Kosovan, V. K. Maslychenko

103-115
- PDF (Українська)
On the description of quantum correlations by means of a one-particle density operator

V. I. Gerasimenko

116–127
- PDF
One-dimensionality of the kernel of the system of Fredholm integral equations for a homogeneous biharmonic problem

S. V. Gryshchuk

128–139
- PDF (Українська)
On smooth mappings of the constant multiplicity

H. K. Dakhil

140-146
- PDF (Українська)
Separating transformation in a problem on extremal decomposition of the complex plane

Iryna Denega, Andrey Targonskii

147-155
- PDF
Estimates of maximum of product of inner radii of non-overlapping domains

Ya. V. Zabolotnii

156–162
- PDF (Українська)
Variations on the shadow problem

Yu. B. Zelinskii

163-170
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A problem about parametric resonance in system “reservoir on pendulum suspension – liquid with a free surface

O. V. Konstantinov, O. S. Lumarchenko

171–185
- PDF (Українська)
Three- dimensional Lie algebras for a one class of wave equations

O. V. Magda

186–209
- PDF (Українська)
On differentiable and monogenic functions in a harmonic algebra

S. A. Plaksa

210–221
- PDF
On functions of the first Baire class with the Darboux property

V. M. Safonov

222–229
- PDF (Українська)
On countable- to-one B-measurable mappings

O. V. Safonova

230–237
- PDF (Українська)
An approximation of class of convolutions of periodic functions by linear methods based on their Fourier-Lagrange coefficients

A. S. Serdyuk, I. V. Sokolenko

238–248
- PDF (Українська)
Generalized convex sets and its applications

M. V. Stefanchyk

249-261
- PDF (Українська)
Гиперкомплексные функции и точные решения одного уравнения гидродинамики

V. S. Shpakivskyi

262–274
- PDF (Русский)
Contour- solid properties of holomorphic functions in domain of multi-dimensional complex space

A. J. Schekhorskiy, O. F. Gerus

275–285
- PDF (Українська)

Vol. 14 No. 1 (2017): Vol. 14 No. 1 (2017): Analysis and Applications

Editorial papers

Zelinskii Yurii Borysovych: on the occasion of his 70-th birthday

Research papers

Estimates of internal radii for mutually disjoint domains

An extremal decomposition of the complex plane with fixed poles

The estimations of the area of a disk image for Sobolev classes

Coefficients of transitiveness of P-critical posets

The convergence rate of the group $\ varphi $ -deviations in the class of analytic functions $ H ^ \ psi_ \ infty $

Rational approximants of Pad\'e type of some class of double power series

Some inequalities for inner radii of partially overlapping domains

Approximations of entire functions by polynomials of the best standard approximation

Gaar’s conditions and trigonometric polynomials

On the description of quantum correlations by means of a one-particle density operator

One-dimensionality of the kernel of the system of Fredholm integral equations for a homogeneous biharmonic problem

On smooth mappings of the constant multiplicity

Separating transformation in a problem on extremal decomposition of the complex plane

Estimates of maximum of product of inner radii of non-overlapping domains

Variations on the shadow problem

A problem about parametric resonance in system “reservoir on pendulum suspension – liquid with a free surface

Three- dimensional Lie algebras for a one class of wave equations

On differentiable and monogenic functions in a harmonic algebra

On functions of the first Baire class with the Darboux property

On countable- to-one B-measurable mappings

An approximation of class of convolutions of periodic functions by linear methods based on their Fourier-Lagrange coefficients

Generalized convex sets and its applications

Гиперкомплексные функции и точные решения одного уравнения гидродинамики

Contour- solid properties of holomorphic functions in domain of multi-dimensional complex space

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