Contents

Doklady Mathematics

Vol. 100, No. 2, 2019

Mathematics

Quantum Graphs with Summable Matrix Potentials

Ya. I. Granovskyi, M. M. Malamud and H. Neidhardt p. 405  abstract

Neural Network Construction for Recognition Problems with Standard Information on the Basis of a Model of Algorithms with Piecewise Linear Surfaces and Parameters

Academician Yu. I. Zhuravlev and A. E. Dyusembaev p. 411  abstract

NP-Completeness of Some Problems of Partitioning a Finite Set of Points in Euclidean Space into Balanced Clusters

A. V. Kel’manov, A. V. Pyatkin and V. I. Khandeev p. 416  abstract

Cross-Entropy Optimal Dimensionality Reduction with a Condition on Information Capacity

RAS Academician Yu. S. Popkov and A. Yu. Popkov p. 420  abstract

An Inequality between Total Variation and ${{L}^{2}}$ Distances for Polynomials in Log-concave Random Vectors

E. D. Kosov p. 423  abstract

On the Continuous Dependence of the Solution of a Boundary Value Problem on Boundary Conditions: Elements of P-Regularity Theory

B. Medak and A. A. Tret’yakov p. 426  abstract

On the Problem of Condensation onto Compact Spaces

A. V. Osipov and E. G. Pytkeev p. 430  abstract

Existence Theorem for a Weak Solution of the Optimal Feedback Control Problem for the Modified Kelvin–Voigt Model of Weakly Concentrated Aqueous Polymer Solutions

Corresponding Member of the RAS P. I. Plotnikov, M. V. Turbin and A. S. Ustiuzhaninova p. 433  abstract

Approximate Solution of the Boundary Value Problem for the Helmholtz Equation with Impedance Condition

A. R. Aliev and R. J. Heydarov p. 436  abstract

On the Finiteness of the Number of Elliptic Fields with Given Degrees of $S$-Units and Periodic Expansion of $\sqrt f $

RAS Academician V. P. Platonov, M. M. Petrunin and Yu. N. Shteinikov p. 440  abstract

Hamiltonian Feynman Measures, Kolmogorov Integral, and Infinite-Dimensional Pseudodifferential Operators

O. G. Smolyanov and N. N. Shamarov p. 445  abstract

Universal Computational Algorithms and Their Justification for the Approximate Solution of Differential Equations

RAS Academician V. B. Betelin and V. A. Galkin p. 450  abstract

Inferences on Parametric Estimation of Distribution Tails

I. V. Rodionov p. 456  abstract

On Some Degenerate Pseudodifferential Operators

A. D. Baev, A. A. Babaytsev and V. D. Kharchenko p. 459  abstract

Topological Obstacles to the Realizability of Integrable Hamiltonian Systems by Billiards

V. V. Vedyushkina and RAS Academician A. T. Fomenko p. 463  abstract

Correct Solvability and Representation of Solutions of Volterra Integrodifferential Equations with Fractional Exponential Kernels

V. V. Vlasov and N. A. Rautian p. 467  abstract

Construction of Three-Dimensional Sections of the Efficient Frontier for Non-convex Models

V. E. Krivonozhko, A. V. Lychev and N. S. Blokhina p. 472  abstract

On the Independence Numbers of Distance Graphs with Vertices in {–1, 0, 1}n

A. M. Raigorodskii and E. D. Shishunov p. 476  abstract

The Size of a Maximum Subgraph of the Random Graph with a Given Number of Edges

N. M. Derevyanko, M. E. Zhukovskii, M. Rassias and A. Yu. Skorkin p. 478  abstract

Sharp Estimates for Geometric Rigidity of Isometries on the First Heisenberg Group

D. V. Isangulova p. 480  abstract

On the Existence and Uniqueness of a Solution of a Nonlinear Integral Equation

M. V. Nikolaev and A. A. Nikitin p. 485  abstract

Mathematical Physics

Taking into Account Fluid Saturation of Bottom Sediments in Marine Seismic Survey

V. I. Golubev, A. V. Shevchenko and Corresponding Member of the RAS I. B. Petrov p. 488  abstract

Infinite Kirchhoff Plate on a Compact Elastic Foundation May Have an Arbitrarily Small Eigenvalue

S. A. Nazarov p. 491  abstract

An Inverse Phaseless Problem for Electrodynamic Equations in an Anisotropic Medium

Corresponding Member of the RAS V. G. Romanov p. 496  abstract

Control Theory

Spectral Decompositions for the Solutions of Lyapunov Equations for Bilinear Dynamical Systems

I. B. Yadykin and A. B. Iskakov p. 501  abstract