Contents

Doklady Mathematics

Vol. 96, No. 3, 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

On Some Properties of a Class of Degenerate Pseudodifferential Operators

A. D. Baev and N. I. Rabotinskaya p. 545  abstract

On an Analogue of Parallel Translation on Carnot–Carathéodory Spaces

M. B. Karmanova p. 549  abstract

Inequalities for Hardy-Type Operators on the Cone of Decreasing Functions in a Weighted Orlicz Space

E. G. Bakhtigareeva and M. L. Gol’dman p. 553  abstract

Local Laws for Non-Hermitian Random Matrices

F. Götze, A. A. Naumov and A. N. Tikhomirov p. 558  abstract

Boundary Value Problems for Functional Differential Canonical Equations of Mixed Type

A. N. Zarubin p. 561  abstract

On Boundary and Initial Values of Solutions of a Second-Order Parabolic Equation That Degenerate on the Domain Boundary

I. M. Petrushko p. 568  abstract

Mathematical Analysis of Codons That Stop Protein Synthesis

N. N. Kozlov, E. I. Kugushev and Academician of the RAS T. M. Eneev p. 571  abstract

Feynman Formulas for Nonlinear Evolution Equations

Yu. N. Orlov, V. Zh. Sakbaev and O. G. Smolyanov p. 574  abstract

Functional Series Representable as a Sum of Two Universal Series

Sh. Tetunashvili p. 578  abstract

On Constructive Number Fields and Computability of Solutions of PDEs

S. V. Selivanova and V. L. Selivanov p. 580  abstract

Integrability and Continuity of Solutions to Fokker–Planck–Kolmogorov Equations

V. I. Bogachev and S. V. Shaposhnikov p. 583  abstract

A Characterization of Besov Classes in Terms of a New Modulus of Continuity

E. D. Kosov p. 587  abstract

Preservation of the Existence of Fixed and Coincidence Points under Homotopy of Mappings of Ordered Sets

D. A. Podoprikhin and T. N. Fomenko p. 591  abstract

Unification of a Differential Inclusion with Parameter in the Guidance Problem

Corresponding Member of the RAS V. N. Ushakov and G. V. Parshikov p. 594  abstract

Logical Laws for Existential Monadic Second-Order Sentences with Infinite First-Order Parts

M. E. Zhukovskii and M. G. Sánchez p. 598  abstract

Homogenization of the Boundary Value Problem for the Laplace Operator in a Domain Perforated along (n – 1)-Dimensional Manifold with Nonlinear Robin Type Boundary Condition on the Boundary of Arbitrary Shaped Holes: Critical Case

A. V. Podolskiy and T. A. Shaposhnikova p. 601  abstract

Eigenvalue Dynamics of a $\mathcal{P}\mathcal{T}$-Symmetric Sturm–Liouville Operator and Criteria for Similarity to a Self-Adjoint or a Normal Operator

S. N. Tumanov and A. A. Shkalikov p. 607  abstract

Invariance Principle for Nonautonomous Functional-Differential Equations with Discontinuous Right-Hand Sides

I. A. Finogenko p. 612  abstract

Stable Cohomology of Spaces of Non-Resultant Polynomial Systems in ${{\mathbb{R}}^{3}}$

Academician V. A. Vassiliev p. 616  abstract

Study of Functional-Differential Equations with Unbounded Operator Coefficients

V. V. Vlasov and N. A. Rautian p. 620  abstract

Symplectic Geometry of a Linear Transformation with a Quadratic Invariant

Academician of the Russian Academy of Sciences V. V. Kozlov p. 625  abstract

On the Stability of the Independence Number of a Random Subgraph

A. M. Raigorodskii p. 628  abstract

On Bilinear Weighted Inequalities on the Cone of Nondecreasing Functions

Corresponding Member of the Russian Academy of Sciences V. D. Stepanov and G. E. Shambilova p. 631  abstract

Mathematical Physics

Wave Propagation in the Kolmogorov–Petrovskii–Piskunov Problem with Delay

S. V. Aleshin, S. D. Glyzin and S. A. Kashchenko p. 636  abstract

Analysis Method for the Scattering Properties of Plasmonic Particles on a Substrate Accounting for Nonlocal Effects

Yu. A. Eremin and A. G. Sveshnikov p. 641  abstract

Projection of the Khokhlov–Zabolotskaya Equation on the Axis of Wave Beam As a Model of Nonlinear Diffraction

O. A. Vasiljeva, E. A. Lapshin and Academician O. V. Rudenko p. 646  abstract

Control Theory

Frontier Visualization for Nonconvex Models with the Use of Purposeful Enumeration Methods

V. E. Krivonozhko and A. V. Lychev p. 650  abstract

Hamilton–Jacobi Functional Equations and Differential Games for Neutral-Type Systems

Corresponding Member of the RAS N. Yu. Lukoyanov, M. I. Gomoyunov and A. R. Plaksin p. 654  abstract