No. 4 (63) (2023): Bulletin of Perm University. Mathematics. Mechanics. Computer Science

Published: 2023-12-19

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Mathemathics

Optimality Condition of the Pontryagin Maximum Principle Type in the Control Problem of Fractional Series Linear Difference Equations

Saadat T. Alieva, Kamil B. Mansimov

5-11
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Explicit Difference Scheme N-fold Splitting For the Vortex Equation in a Viscous Incompressible Fluid

Natalya K. Volosova, Konstantin A. Volosov, Aleksandra K. Volosova, Mikhail I. Karlov, Dmitriy F. Pastukhov, Yuriy F. Pastukhov

12-21
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Study of Almost Periodic Solutions of Differential Equations

Gennadiy G. Ivanov, Gennadiy V. Alferov, Vladimir S. Korolev

22-35
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Pontryagin's Maximum Principle Analog and Linearized Necessary Conditions of Optimality in One Nonlinear Control Problem of a Gurs–Darboux System With a Variable Structure

Kamil B. Mansimov, Shabnam Sh. Suleymanova

36-51
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Mechanics

Studies of Elastomeric Nanocomposites Mechanical Behavior Under Biaxial Loading

Oleg K. Garishin, Vladimir V. Shadrin

52-59
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Mathematical Modeling of Nonlinear Electroconvection of an Ideal Liquid Dielectric in an Alternating Electric Field

Vladimir A. Il'in, Michael O. Sukhanov

60-69
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On the Problem of Reducing the Equations of Rigid Body Dynamics in Hyperbolic Space

Nikolay N. Makeev

70-79
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Experimental Study of Stress Concentration Near the Tips of V-shaped Cracks of Different Depths Filled With Various Materials

Andrey Yu. Fedorov, Elizaveta B. Galkina, Aleksey I. Slobodinyuk

80-88
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Computer Science

Model Development for Assessing the Danger of Malicious Utilities' Destructive Effects on Automated Special-Purpose Systems Using Regression Analysis

Nikolay S. Kobyakov

89-95
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