Vol. 14 No. 3 (2017): Differential equations and related problems of analysis

UDC 517.91, 517.95

Differential equations and related problems of analysis /

Managing editor: V. A. Mikhailets // Transactions of Institute of Mathematics of NAS of Ukraine. – 2017. – V. 14, No. 3. – Kyiv: Institute of Mathematics, NAS of Ukraine, 2017. – 364 p.

The issue contains research papers which are dedicated to important problems of theory of ordinary differential equations and theory of partial differential equations, and also related problems of analysis. Considerable attention is paid to the application of modern methods of mathematical analysis to the study of the problems considered.

Published: 2017-12-12

Research papers

On the local up to the boundary of domain properties of harmonic functions

A. V. Anop, A. A. Murach

7-20
- PDF (Українська)
Initial-boundary value problem for higher-order integro-differential elliptic-parabolic equations with variable exponents of nonlinearity

M. M. Bokalo, I. V. Skira

21-46
- PDF (Українська)
Nonlocal problem for nonlinear parabolic equations with variable exponents of the nonlinearities

O. M. Buhrii

47-75
- PDF (Українська)
Kolmogorov widths of the classes $L_{\beta, p}^\psi$ of periodic functions in the space $L_q$

H. M. Vlasyk

76-92
- PDF (Українська)
On approximation of classes $W^1_{\infty}$ by Poisson sums

M. V. Gembarskyi, U. Z. Grabova, I. V. Kalchuk

93-101
- PDF (Українська)
Sturm-Liouville operators with complex singular coefficients

A. S. Goriunov

102-113
- PDF (Українська)
An extended Sobolev scale over vector bundles

T. M. Zinchenko

114-127
- PDF (Українська)
Прямая и обратная задачи рассеяния для гиперболической системы шести уравнений первого порядка на полуоси

N. Sh. Iskenderov, L. N. Jafarova

128-160
- PDF (Русский)
Elliptic problems in the sense of Lawruk with boundary operators of higher orders in refined Sobolev scale

T. M. Kasirenko, I. S. Chepurukhina

161-203
- PDF (Українська)
Approximation of classes of $(\psi,\beta)$-differentiable functions by Rogozinski polynomials

I. R. Kovalchuk

204-221
- PDF (Українська)
Estimates for the entropy numbers of the classes $B^{\Omega}_{p,\theta}$ of periodic functions of many variables

A. F. Konograi, A. P. Musienko

222-239
- PDF (Українська)
Finding a source of fractional diffusion equation

A. O. Lopushansky, G. P. Lopushanska

240-252
- PDF (Українська)
Approximation properties of multipoint boundary-value problems that are total with respect to the spaces $C^{(n)}$

H. O. Masliuk, V. O. Soldatov

253-264
- PDF (Українська)
On approximation of functions from tne class $NBV[a,b]$

V. A. Mikhailets, O. B. Pelekhata

265-270
- PDF (Українська)
Anomalous diffusion in dynamic systems with reflection

I. L. Nizhnik

271-292
- PDF (Українська)
Estimates for the best $M$-term trigonometric approximations of classes $L_{\beta,p}^\psi$ of periodic multivariable functions in the case of small smoothness in the space $L_q$

K. V. Pozharska

293-318
- PDF (Українська)
Criterion of continuity with respect to parameter of solutions of multipoint boundary-value problems

V. O. Soldatov

319-331
- PDF (Українська)
Bilinear approximations of the classes $S^{\Omega}_{p,{\theta}}B$ of periodic functions of many variables

K. V. Solich, O. V. Fedunik-Yaremchuk

332-353
- PDF (Українська)
Estimate for deviation of functions from their Fourier sums

R. V. Tovkach

354-363
- PDF (Українська)

Vol. 14 No. 3 (2017): Differential equations and related problems of analysis

Research papers

On the local up to the boundary of domain properties of harmonic functions

Initial-boundary value problem for higher-order integro-differential elliptic-parabolic equations with variable exponents of nonlinearity

Nonlocal problem for nonlinear parabolic equations with variable exponents of the nonlinearities

Kolmogorov widths of the classes $L_{\beta, p}^\psi$ of periodic functions in the space $L_q$

On approximation of classes $W^1_{\infty}$ by Poisson sums

Sturm-Liouville operators with complex singular coefficients

An extended Sobolev scale over vector bundles

Прямая и обратная задачи рассеяния для гиперболической системы шести уравнений первого порядка на полуоси

Elliptic problems in the sense of Lawruk with boundary operators of higher orders in refined Sobolev scale

Approximation of classes of $(\psi,\beta)$-differentiable functions by Rogozinski polynomials

Estimates for the entropy numbers of the classes $B^{\Omega}_{p,\theta}$ of periodic functions of many variables

Finding a source of fractional diffusion equation

Approximation properties of multipoint boundary-value problems that are total with respect to the spaces $C^{(n)}$

On approximation of functions from tne class $NBV[a,b]$

Anomalous diffusion in dynamic systems with reflection

Estimates for the best $M$-term trigonometric approximations of classes $L_{\beta,p}^\psi$ of periodic multivariable functions in the case of small smoothness in the space $L_q$

Criterion of continuity with respect to parameter of solutions of multipoint boundary-value problems

Bilinear approximations of the classes $S^{\Omega}_{p,{\theta}}B$ of periodic functions of many variables

Estimate for deviation of functions from their Fourier sums

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