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

2013, Volume 13, Issue 2(1)


Mathematics
On necessary conditions for a minimum of a quadratic functional with a Stieltjes integral and zero coefficient of the highest derivative on the part of the interval
T. A. Ivannikova, E. V. Timashova, S. A. Shabrov
3
Matrix representation of dilation operator on the product of zero-dimensional locally compact Abelian groups
S. F. Lukomskii
8
On $2$-fold completeness of the eigenfunctions for the strongly irregular quadratic pencil of differential operators of second order
O. V. Parfilova
14
Structure of the inverse for the integral operator of special kind
V. E. Strukov
22
The problem of Leont'ev on entire functions of completely regular growth
V. B. Sherstyukov
30
A $U$-set for system of character of the zero-dimensional group under convergent over cubes
I. S. Yurchenko
35

Mechanics
The equilibrium equations of shells in the coordinates of the general form
A. A. Baryshev, S. A. Lychev, A. V. Manzhirov
44
Modeling of the shock system motion with impacts about hard barriers
A. A. Dozorov, V. K. Manzhosov
54
Covariant field equations and $d$-tensors of hyperbolic thermoelastic continuum with fine microstructure
V. A. Kovalev, Yu. N. Radayev
60
Investigation of surface roughness at micro-scale and mechanical response in the contemporary bio-polimer sutures by the nanoindentation
A. G. Kuchumov, V. N. Solodko, V. A. Samartsev, V. A. Gavrilov, E. S. Chaykina
69
Optimal filtration of matrix gaussian random processes in planes lateral motion problem
A. Yu. Litvin, V. T. Pristavko
78

Computer science
Using parallel computing technologies for modeling of metallic photonic crystals
M. V. Davidovich, P. A. Shilovsky, D. K. Andreichenko
86
Ordered automata and tolerant images of FDA
I. P. Mangusheva
91
T-irreducible extension for union of paths and cycles
D. U. Osipov
100
On upper bound of vertex distinguishing word length on vertex labeled graph
S. V. Sapunov
105
Analysis of closed unreliable queueing networks with batch movements of customers
I. E. Tananko, N. P. Fokina
111

Chronicle
In memory of Ivlev Dyuis Danilovich
118


© Steklov Math. Inst. of RAS, 2025