Contents
Vestnik St. Petersburg University: Mathematics

Vol. 49, No. 1, 2016

A simultaneous English language translation of this journal is available from Allerton Press, Inc.
Distributed worldwide by Springer. Vestnik St. Petersburg University. Mathematics ISSN 1063-4541.

Mathematics

An Algebraic Identity and the Jacobi–Trudi Formula

B. M. Bekker, O. A. Ivanov, and A. S. Merkurjev p. 1  abstract

Estimates of the Norm of a Function Orthogonal to the Piecewise-Constant Functions
in Terms of Higher-Order Moduli of Continuity

O. L. Vinogradov and L. N. Ikhsanov p. 5  abstract

Improvement of Separability of Time Series in Singular Spectrum Analysis
Using the Method of Independent Component Analysis

N. E. Golyandina and M. A. Lomtev p. 9  abstract

NP completeness Conditions for Verifying the Consistency
of Several Kinds of Systems of Linear Diophantine Discongruences

N. K. Kosovskii, T. M. Kosovskaya, and N. N. Kosovskii p. 18  abstract

Behavior of Finite-Nonstationary Deterministic Automata in a Fuzzy Environment

A. Yu. Ponomareva p. 23  abstract

Complex Vector Measure and Integral over Manifolds with Locally Finite Variations

A. V. Potepun p. 34  abstract

Degeneration of the Hilbert Pairing in Formal Groups over Local Fields

S. V. Vostokov, R. P. Vostokova, and O. Yu. Podkopaeva p. 47  abstract

Mechanics

Parametric Resonances in the Problem of Longitudinal Impact on a Thin Rod

A. K. Belyaev, N. F. Morozov, P. E. Tovstik, and T. P. Tovstik p. 53  abstract

On the Frequency Spectrum of Free Vibrations of Membranes and Plates
in Contact with a Fluid

D. N. Ivanov, N. V. Naumova, V. S. Sabaneev, P. E. Tovstik, and T. P. Tovstik p. 68  abstract

On Natural Frequencies of Transversely Isotropic Circular Plates

S. M. Bauer and E. B. Voronkova p. 77  abstract

Relationship between the Udwadia–Kalaba Equations
and the Generalized Lagrange and Maggi Equations

S. A. Zegzhda, N. V. Naumova, Sh. Kh. Soltakhanov, and M. P. Yushkov p. 81  abstract

Free Localized Vibrations of a Long Double-Walled Carbon Nanotube Introduced
into an Inhomogeneous Elastic Medium

G. I. Mikhasev and M. G. Botogova p. 85  abstract

Terminal Motion of a Thin Elliptical Plate over a Horizontal Plane with Orthotropic Friction

N. N. Dmitriev and O. A. Silantyeva p. 92 abstract

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