Contents

Doklady Mathematics

Vol. 95, No. 2, 2017

A simultaneous English language translation of this journal is available from Pleiades Publishing, Ltd.
Distributed worldwide by Springer. Doklady Mathematics ISSN 1064-5624.

Mathematics

Fractal Functions with Continuous Weil-Type Derivatives of Variable Order in Control of Distributed Systems

A. N. Agadzhanov p. 109  abstract

Weighted Zolotarev Metrics and the Kantorovich Metric

V. I. Bogachev, A. N. Doledenok and S. V. Shaposhnikov p. 113  abstract

Metric Properties of Classes of Hölder Surfaces on Carnot Groups

M. B. Karmanova p. 118  abstract

On a Complex Fundamental Solution of the Schrödinger Equation

A. G. Chechkin and A. S. Shamaev p. 122  abstract

An Approach to the Solution of Recognition Problems Using Neural Networks

A. E. Dyusembaev p. 125  abstract

A Fast Direct Algorithm for Implementing a High-Order Finite Element Method on Rectangles as Applied to Boundary Value Problems for the Poisson Equation

A. A. Zlotnik and I. A. Zlotnik p. 129  abstract

On Families High-Order Accurate Multioperator Approximations of Derivatives Using Two-Point Operators

A. I. Tolstykh p. 136  abstract

Iterative Approximate Factorization for Difference Operators of High-Order Bicompact Schemes for Multidimensional Nonhomogeneous Hyperbolic Systems

M. D. Bragin and B. V. Rogov p. 140  abstract

Fundamentals of a Mathematical Theory of Genetic Codes

N. N. Kozlov and Academician of the RAS T. M. Eneev p. 144  abstract

On the Heyde Theorem for Some Locally Compact Abelian Groups

G. M. Feldman p. 147  abstract

Homogenization of Variational Inequalities of Signorini Type for the p-Laplacian in Perforated Domains when p ∈ (1, 2)

J. I. Díaz, D. Gómez-Castro, A. V. Podolskiy and T. A. Shaposhnikova p. 151  abstract

Quadrature Formulas with Exponential Convergence and Calculation of the Fermi–Dirac Integrals

Corresponding Member of the RAS N. N. Kalitkin and S. A. Kolganov p. 157  abstract

Genetic Code Potential for Overlaps of Six and Three Genes

N. N. Kozlov, E. I. Kugushev and Academician of the RAS T. M. Eneev p. 161  abstract

Banach Geometry of Financial Market Models

P. P. Zabreiko and A. V. Lebedev p. 164  abstract

Sub-Riemannian Geodesics in SO(3) with Application to Vessel Tracking in Spherical Images of Retina

A. P. Mashtakov, Remco Duits, Yu. L. Sachkov, Erik Bekkers and I. Yu. Beschastnyi p. 168  abstract

Classification of Equations of State for Viscous Fluids

A. A. Duyunova, V. V. Lychagin and S. N. Tychkov p. 172  abstract

Left-Invariant Riemannian Problems on the Groups of Proper Motions of Hyperbolic Plane and Sphere

A. V. Podobryaev and Yu. L. Sachkov p. 176  abstract

Span of a DL-Algebra

S. T. Sadetov p. 178  abstract

Mathematical Physics

Modeling of Acoustic Pulse Signal Propagation in Deep Sea Using the Maslov Canonical Operator

P. S. Petrov, S. A. Sergeev and A. A. Tolchennikov p. 181  abstract

Computer Science

Software Platform for Mass Supercomputing

E. V. Biryal’tsev, M. R. Galimov and A. M. Elizarov p. 185  abstract

Control Theory

Inversion of MIMO Systems with Unstable Zero Dynamics

Corresponding Member of the RAS A. V. Il’in, E. I. Atamas’ and V. V. Fomichev p. 190  abstract

Asymptotically Optimal Control for a Simplest Distributed System

A. I. Ovseevich and A. K. Fedorov p. 194  abstract