Contents

Doklady Mathematics


Vol. 103, No. 3, 2021


Mathematics

Representation of Synthesizable Differentiation-Invariant Subspaces of the Schwartz Space

N. F. Abuzyarova p. 99  abstract

On Attractors of Reaction–Diffusion Equations in a Porous Orthotropic Medium

K. A. Bekmaganbetov, V. V. Chepyzhov and G. A. Chechkin p. 103  abstract

On Nonuniqueness of Probability Solutions to the Cauchy Problem for the Fokker–Planck–Kolmogorov Equation

V. I. Bogachev, T. I. Krasovitskii and S. V. Shaposhnikov p. 108  abstract

Quantum Graphs with Small Edges: Holomorphy of Resolvents

D. I. Borisov p. 113  abstract

On the Bellman Function Method for Operators on Martingales

V. A. Borovitskiy, N. N. Osipov and A. S. Tselishchev p. 118  abstract

Random Quantization of Hamiltonian Systems

J. Gough, Yu. N. Orlov, V. Zh. Sakbaev and O. G. Smolyanov p. 122  abstract

Classical Solutions of Hyperbolic Equations with Nonlocal Potentials

N. V. Zaitseva p. 127  abstract

System of Equations for the Marangoni Boundary Layer in Media with Ladyzhenskaya Rheological Law

M. A. Kisatov p. 130  abstract

Three Infinite Families of Shilla Graphs Do Not Exist

Corresponding Member of the RAS A. A. Makhnev, I. N. Belousov, M. P. Golubyatnikov and M. S. Nirova p. 133  abstract

Plans’ Periodicity Theorem for Jacobian of Circulant Graphs

A. D. Mednykh and I. A. Mednykh p. 139  abstract

New Correlative Randomized Algorithm for Estimating the Influence of the Medium Stochasticity on Particle Transport

Corresponding Member of the RAS G. A. Mikhailov and I. N. Medvedev p. 143  abstract

Simulation of Seismic Waves in Anisotropic Media

Corresponding Member of the RAS I. B. Petrov, V. I. Golubev, V. Yu. Petrukhin and I. S. Nikitin p. 146  abstract

On Fundamental S-Units and Continued Fractions Constructed in Hyperelliptic Fields Using Two Linear Valuations

G. V. Fedorov p. 151  abstract


Control Processes

On the Generalized Gardner Problem for Phase-Locked Loops in Electrical Grids

N. V. Kuznetsov, M. Yu. Lobachev, M. V. Yuldashev, R. V. Yuldashev, S. I. Volskiy and D. A. Sorokin p. 157  abstract