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JOURNALS // Izvestiya of Saratov University. Mathematics. Mechanics. Informatics // Archive

2013, Volume 13, Issue 1(1)


Mathematics
On the Choice of Approximation for Number of Elements in the Sequence of Values for Simple Polynomial of Argument $pq$ with Constraints on $p$ and $q$
E. V. Vakhitova, S. R. Vakhitova
3
Qualitative Properties of Mild Solutions of the Cauchy Problem
N. S. Kaluzhina
8
On Relationship between Derivative of Multifunction and Its Support Function
E. S. Polovinkin
13
Expansion in Eigenfunctions of Quadratic Strongly Irregular Pencils of Differential Operators of the Second Order
V. S. Rykhlov
21
A Countably Connected Domain is not Homeomorphic to an Uncountably Connected Domain
V. V. Starkov
26
Limit Discrete Meixner Series and Their Approximative Properties
E. Sh. Sultanov
29
Affine Quantum Frames and Their Spectrum
P. A. Terekhin
32
Uniform Convergence of the Series with Respect to Multiplicative Systems
R. N. Fadeev
36
Integral Operators with Non-smooth Involution
V. A. Khalova, A. P. Khromov
40
Approximation of Smooth Functions in $L^{p(x)}_{2\pi}$ by Vallee-Poussin Means
I. I. Sharapudinov
45

Mechanics
Antisymmetric Higher Order Edge Waves in Plates
R. V. Ardazishvili, M. V. Wilde, L. Yu. Kossovich
50
Explicit Models for Flexural Edge and Interfacial Waves in Thin Isotropic Plates
J. D. Kaplunov, E. L. Kossovich, R. R. Mukhomodyarov, O. V. Sorokina
56
Explicit Models for Flexural Edge Waves in Thin Orthotropic Plates
E. L. Kossovich
64
Analytical Solution of Linear Differential Error Equations of Strapdown Inertial Navigation System, Functioning in the Normal Geographic Reference Frame, for the Case of an Object, Following the Geographical Equator
M. Yu. Loginov, M. G. Tkachenko, Yu. N. Chelnokov
69
Solution of a Problem of Spacecraft's Orbit Optimal Reorientation Using Quaternion Equations of Orbital System of Coordinates Orientation
I. A. Pankratov, Ya. G. Sapunkov, Yu. N. Chelnokov
84

Computer science
On Varieties of Groupoids of Binary Relations
D. A. Bredikhin
93
The Application of a Genetic Algorithm to Global Optimization Problem Solving on Parallel and Distributed Computing Systems
A. N. Savin, I. V. Druzhinin, A. A. Eroftiev
99
Principal Ideals in the Congruence Semilattice of a Path
E. O. Fomina
109

Chronicle of Academic Life
I Международная конференция «Теории оболочек и мембран в механике и биологии: от макро- до наноразмерных структур» (SMT in MB-2013)
114


© Steklov Math. Inst. of RAS, 2025