Contents

Doklady Mathematics

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Vol. 101, No. 2, 2020

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Mathematics

Construction of Infinite Finitely Presented Nilsemigroup

A. Ya. Belov-Kanel and I. A. Ivanov-Pogodaev p. 81  abstract

Multiplicative Estimates for Norms of Derivatives on a Domain

Corresponding Member of the RAS O. V. Besov p. 86  abstract

Constructive Solution of One Vector Equilibrium Problem

A. I. Bogolyubskii and V. G. Lysov p. 90  abstract

On the Stochasticity Parameter of Quadratic Residues

M. R. Gabdullin p. 93  abstract

A Time-Dependent Strange Term Arising in Homogenization of an Elliptic Problem with Rapidly Alternating Neumann and Dynamic Boundary Conditions Specified at the Domain Boundary: The Critical Case

J. I. Díaz, D. Gómez-Castro, T. A. Shaposhnikova and M. N. Zubova p. 96  abstract

On the Zakharov–L’vov Stochastic Model for Wave Turbulence

A. V. Dymov and S. B. Kuksin p. 102  abstract

Numerical Analysis of Laminar–Turbulent Transition by Methods of Chaotic Dynamics

N. M. Evstigneev and N. A. Magnitskii p. 110  abstract

On Global Classical Solutions of Hyperbolic Differential-Difference Equations

N. V. Zaitseva p. 115  abstract

Generalized Primitive Potentials

Academician of the RAS V. E. Zakharov and D. V. Zakharov p. 117  abstract

Navier–Stokes-Alpha Model with Temperature-Dependent Viscosity

A. V. Zvyagin p. 122  abstract

Attractors of an Autonomous Model of Nonlinear Viscous Fluid

V. G. Zvyagin and M. V. Kaznacheev p. 126  abstract

Coarea Formula for Functions on 2-Step Carnot Groups with Sub-Lorentzian Structure

M. B. Karmanova p. 129  abstract

Uniform, on the Real Line, Equiconvergence of Spectral Expansions for the Higher-Order Differential Operators

L. V. Kritskov p. 132  abstract

Minimal Self-Similar Peano Curve of Genus 5 × 5

Yu. V. Malykhin and Corresponding Member of the RAS E. V. Shchepin p. 135  abstract

Differential Equations in Banach Algebras

A. I. Perov and I. D. Kostrub p. 139  abstract

Probabilistic Approximation of the Evolution Operator e^–itH where $H = \tfrac{{{{{( - 1)}}^{m}}}}{{(2m)!}}\tfrac{{{{d}^{{2m}}}}}{{d{{x}^{{2m}}}}}$

M. V. Platonova and S. V. Tcykin p. 144  abstract

Parabolic Equations with Changing Direction of Time

S. V. Popov p. 147  abstract

On Large Deviations of a Sum of Independent Random Variables with Rapidly Decreasing Distribution Tails

L. V. Rozovsky p. 150  abstract

Jacobi Stability of a Many-Body System with Modified Potential

T. V. Salnikova, E. I. Kugushev and S. Ya. Stepanov p. 154  abstract

New Cases of Integrable Odd-Order Systems with Dissipation

M. V. Shamolin p. 158  abstract

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Computer Science

Reciprocal Function Method for Cauchy Problems with First-Order Poles

A. A. Belov and Corresponding Member of the RAS N. N. Kalitkin p. 165  abstract

Solution of the Fracture Detection Problem by Machine Learning Methods

M. V. Muratov, V. A. Biryukov and Corresponding Member of the RAS I. B. Petrov p. 169  abstract

Modeling of Radiative Heat Conduction on High-Performance Computing Systems

Academician of the RAS B. N. Chetverushkin and O. G. Olkhovskaya p. 172  abstract

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