# Izvestiya of Saratov University. New Series. Series: Mathematics. Mechanics. Informatics 2013, vol. 13, iss. 2, part 1

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## Content

### Mathematics

Timashova E. V., Shabrov S. A., Ivannikova T. A.
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
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3

Lukomskii S. F.
Matrix representation of dilation operator on the product of zero-dimensional locally compact Abelian groups
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8

Parfilova O. V.
On 2-fold completeness of the eigenfunctions for the strongly irregular quadratic pencil of differential operators of second order
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14

Yurchenko I. S.
A U-set for system of character of the zero-dimensional group under convergent over cubes
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35

### Mechanics

Kovalev V. A.
Covariant field equations and d-tensors of hyperbolic thermoelastic continuum with fine microstructure
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60

Kuchumov A. G.
Investigation of surface roughness at micro-scale and mechanical response in the contemporary bio-polimer sutures by the nanoindentation
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69

Pristavko V. T., Litvin A. Y.
Optimal filtration of matrix gaussian random processes in planes lateral motion problem
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78