Збірник праць Інституту математики Національної академії наук України. 2017, 14 (3)

ARCHIVE (All issues)

Transactions of Institute of Mathematics, the NAS of Ukraine
2017. Issue 14 (3)

Змiст.
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 LΨ (β,ρ) of periodic functions in the space Lq.
On approximation of classes W1∞ by Poisson sums.
Sturm-Liouville operators with complex singular coefficients.
An extended Sobolev scale over vector bundles.
Direct and inverse scattering problems for a hyperbolic system of six equations of first order on a semi-axis.
Elliptic problems in the sense of Lawruk with boundary operators of higher orders in refined Sobolev scale.
Approximation of classes of (ψ,β)-differentiable functions by Rogozinski polynomials.
Estimates for the entropy numbers of the classes BΩ (ρ,θ) 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 Lψ (β,ρ) of periodic multivariable functions in the case of small smoothness in the space Lq.
Criterion of continuity with respect to parameter of solutions of multipoint boundary-value problems.
Bilinear approximations of the classes S(Ω (ρ,θ))B of periodic functions of many variables.
Estimate for deviation of functions from their Fourier sums.

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