Contents

Doklady Mathematics

Vol. 98, No. 3, 2018

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

Mathematics

Distributions and Analytical Measures on Infinite-Dimensional Spaces

A. A. Belyaev and O. G. Smolyanov p. 541  abstract

On Sets of Measurable Operators Convex and Closed in Topology of Convergence in Measure

A. M. Bikchentaev p. 545  abstract

A New Discrete Analogue of Pontryagin’s Maximum Principle

M. J. Mardanov and T. K. Melikov p. 549  abstract

The Spectrum and Trace Formula for Bounded Perturbations of Differential Operators

Academician of the RAS V. A. Sadovnichy, Z. Yu. Fazullin and I. G. Nugaeva p. 552  abstract

The Existence and Behavior of Global Solutions to a Mixed Problem with Acoustic Transmission Conditions for Nonlinear Hyperbolic Equations with Nonlinear Dissipation

A. B. Aliev and S. E. Isayeva p. 555  abstract

Estimates for Solutions to Fokker–Planck–Kolmogorov Equations with Integrable Drifts

V. I. Bogachev, A. V. Shaposhnikov and S. V. Shaposhnikov p. 559  abstract

Dualization Problem over the Product of Chains: Asymptotic Estimates for the Number of Solutions

E. V. Djukova, G. O. Maslyakov and P. A. Prokofjev p. 564  abstract

On the Weak Solvability of a Fractional Viscoelasticity Model

V. G. Zvyagin and V. P. Orlov p. 568  abstract

Hamiltonian Approach to Secondary Quantization

Academician of the RAS V. V. Kozlov and O. G. Smolyanov p. 571  abstract

Generalized Maximum Principle in Optimal Control

E. R. Avakov and G. G. Magaril-Il’yaev p. 575  abstract

Uniqueness of Solution to the First Initial Boundary Value Problem for Parabolic Systems on the Plane in a Model Case

E. A. Baderko and M. F. Cherepova p. 579  abstract

Axiomatizing Provable n-Provability

E. A. Kolmakov and Corresponding Member of the RAS L. D. Beklemishev p. 582  abstract

Blow-up of Solutions of the Cauchy Problem for a Nonlinear Schrödinger Evolution Equation

Sh. M. Nasibov p. 586  abstract

Arithmetic Properties of Generalized Hypergeometric F-Series

V. G. Chirskii p. 589  abstract

Modeling of Phase Transitions in Weakly Bound Molecular Clusters

E. D. Belega, D. N. Trubnikov and A. I. Chulichkov p. 592  abstract

Two-Dimensional (Two-Speed) Mode for a Nonstrictly Hyperbolic Problem

V. V. Palin p. 596  abstract

Types of Root Systems in Number Fields

Corresponding Member of the RAS V. L. Popov and Yu. G. Zarhin p. 600  abstract

Application of the Variational Method for Solving Inverse Problems of Optimal Control

V. V. Ternovskii, M. M. Khapaev and T. M. Khapaeva p. 603  abstract

On Unordered Multiplicative Partitions

G. V. Fedorov p. 607  abstract

Feynman Formulas for Solutions to Evolution Equations in Domains of Multidimensional Ramified Surfaces

V. A. Dubravina p. 612  abstract

On First Integrals of Linear Hamiltonian Systems

A. B. Zheglov and D. V. Osipov p. 616  abstract

On the Distribution of the Maximum k-Degrees of the Binomial Random Graph

M. E. Zhukovskii and I. V. Rodionov p. 619  abstract

Approximations in the Problem of Level Crossing by a Compound Renewal Process

V. K. Malinovskii p. 622  abstract

Narrow Positively Graded Lie Algebras

D. V. Millionshchikov p. 626  abstract

Twisted Homology of Configuration Spaces and Homology of Spaces of Equivariant Maps

V. A. Vassiliev p. 629  abstract

On Bilinear Hardy–Steklov Operators

P. Jain, S. Kanjilal, Corresponding Member of the RAS V. D. Stepanov and E. P. Ushakova p. 634  abstract

A Disproof the Le Bars Conjecture about the Zero–One Law for Existential Monadic Second-Order Sentences

M. E. Zhukovskii and S. N. Popova p. 638  abstract

On the Finiteness of Hyperelliptic Fields with Special Properties and Periodic Expansion of $\sqrt f$

Academician V. P. Platonov, V. S. Zhgoon, M. M. Petrunin and Yu. N. Shteinikov p. 641  abstract

Soft Randomized Machine Learning

Academician of the RAS Yu. S. Popkov p. 646  abstract

Mathematical Physics

Artificial Dissipation Coefficients in Regularized Equations of Supersonic Aerodynamics

T. G. Elizarova and I. A. Shirokov p. 648  abstract

Control Theory

Class of Trajectories in ${{\mathbb{R}}^{3}}$ Most Remote from Observers

Academician of the RAS V. I. Berdyshev p. 652  abstract