Series 1
MATHEMATICS. MECHANICS. ASTRONOMY

Volume 3(61), Issue 1, 2016

Contents Pages
MATHEMATICS
1 On an algebraic identity and formula JacobiTrudi
Bekker B. M., Ivanov O. A., Merkurjev A. S.
3-8
2 Estimates of the norm of a function orthogonal to piecewiseconstant functions by moduli of continuity of high order
Vinogradov O. L., Ikhsanov L. N.
9-13
3 Improvement of separability of time series in singular spectrum analysis by means of a method of independent component analysis
Golyandina N. E., Lomtev M. A.
14-25
4 NP-completeness conditions for some types of systems of linear Diophantine dis-comparisons consistency checking
Kosovskii N. K., Kosovskaya T. M., Kosovskii N. N.
26-31
5 A behavior of the finite-nonstationary deterministic automata in the fuzzy environment
Ponomareva A. Yu.
32-43
6 Complex vector measure and integral over manifolds with locally finite variations
Potepun A. V.
44-58
7 Degeneration of the Hilbert pairing in formal groups over local fields
Vostokov S. V., Vostokova R. P., Podkopaeva O. Yu.
59-66
MECHANICS
On the 80th anniversary of P. E. Tovstik
8 P. E. Tovstik contribution to the development of mechanics of solids
Bauer S. M., Bykov V. G., Leonov G. A., Morozov N. F., Smirnov A. L., Filippov S. B.
67-76
9 Parametric resonances in the problem of longitudinal impact on a thin rod
Belyaev A. K., Morozov N. F., Tovstik P. E., Tovstik T. P.
77-94
10 On the frequency spectrum of free vibrations of membranes and plates in contact with fluid
Ivanov D. N., Naumova N. V., Sabaneev V. S., Tovstik P. E., Tovstik T. P.
95-104
11 On natural frequencies of transversally isotropic circular plates
Bauer S. M., Voronkova E. B.
105-109
12 Comparative analysis of initial state in inhomogeneous rods
Vatulyan A. O., Nedin R. D.
110-119
13 Some basic problems of the theory of elasticity for plane with the cuts
Dahl Yu. M.
120-133
14 Relationship between the UdwadiaKalaba equations and the generalized Lagrange and Maggis equations
Zegzhda S. A., Naumova N. V., Soltakhanov Sh. Kh., Yushkov M. P.
134-138
15 Elliptic boundary layer in shells of revolution under normal shock surface loading
Kirillova I. V., Kossovich L. Yu.
139-146
16 On stiffness matrix construction for naturally twisted rod
Kurbatova N. V., Romanova N. M., Ustinov Yu. A.
147-154
17 Free localized vibrations of a long double-walled carbon nanotube embedded in nonhomogeneous elastic medium
Mikhasev G. I., Botogova M. G.
155-163
18 Terminal movement of the thin elliptical plate on the horizontal plane with orthotropic friction
Dmitriev N. N., Silantyeva O. A.
164-172
CHRONICLE
19 In memory of V. P. Khavin 173-177