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2022, Volume 23, Issue 5  


Congratulations to Academician Vladimir Petrovich Platonov with discussion gold medals named after P. L. Chebyshev 2022
5
Volterra integral equation with power nonlinearity
S. N. Askhabov
6–19
On critical lattices of the unit sphere
Yu. A. Basalov
20–37
On the uniform distribution of remainders in the expression of real numbers over a multiplicative system numbers
A. K. Giyasi, I. P. Mikhailov, V. N. Chubarikov
38–44
Some results for weighted Bernstein–Nikol'skii constants
D. V. Gorbachev, N. N. Dobrovol'skii
45–56
Entropy for some monoids of natural numbers
N. N. Dobrovolskii, I. Yu. Rebrova, N. M. Dobrovolskii
57–71
The Fermat–Torricelli problem in the case of three-point sets in normed planes
D. A. Ilyukhin
72–86
On simultaneous approximations to the logarithms of primes
M. A. Korolev, I. S. Rezvyakova
87–100
Reducing smooth functions to normal forms near critical points
A. S. Orevkova
101–116
The Ritz method for solving partial differential equations using number-theoretic grids
A. V. Rodionov
117–129
On the number of lattice points of linear comparison solutions in rectangular areas
N. K. Ter-Gukasova, M. N. Dobrovol'skii, N. N. Dobrovol'skii, N. M. Dobrovol'skii
130–144

BRIEF MESSAGES
On the intersection of two homogeneous Beatty sequences
A. V. Begunts, D. V. Goryashin
145–151
About the continuity of one operation with convex compacts in finite–dimensional normed spaces
A. Kh. Galstyan
152–160

HISTORY OF MATH AND APPLICATIONS
Dimensional analysis of powders obtained by electroerosive dispersion of tungsten-titanium-cobalt hard alloy in kerosene
E. V. Ageev, V. O. Podanov, A. E. Ageeva, S. N. Kutepov, O. V. Kuzovleva
161–171
On the design of scientific awareness systems in the field of the history of mathematics using multi-agent technologies
E. M. Bogatov, A. V. Korenev, I. S. Mikhailov
172–187
Empirical mathematical model of change in the actual contact area of metals depending on the friction path
A. D. Breki, V. A. Yakhimovich, S. G. Chulkin, A. A. Moskalets, I. A. Shulgin, E. B. Sedakova, Yu. G. Barabanshchikov, S. N. Kutepov, O. V. Kuzovleva
188–197
Regularities of sliding friction of grey cast iron bodies in lubricating media depending on the sliding speed
A. D. Breki, D. V. Zimin, S. G. Chulkin, A. A. Moskalets, I. A. Shulgin, E. B. Sedakova, Yu. V. Galyshev, S. N. Kutepov, O. V. Kuzovleva
198–205
Application of number-theoretic grids in problems of sound diffraction by elastic bodies
N. N. Dobrovol'skii, S. A. Skobel'tsyn, L. A. Tolokonnikov, N. V. Larin
206–226
Recognition of anomalies of an a priori unknown type
A. O. Ivanov, G. V. Nosovskiy, V. A. Kibkalo, M. A. Nikulin, F. Yu. Popelensky, D. A. Fedoseev, I. V. Gribushin, V. V. Zlobin, S. S. Kuzin, I. L. Mazurenko
227–240
On the behavior of hydrogen in metal alloys
S. N. Kutepov, A. E. Gvozdev, O. V. Kuzovleva, D. S. Klementyev
241–257
Study and use of recursive algorithms in computer science teacher training
Yu. M. Martynyuk, V. S. Vankova, S. V. Danilenko
258–268
Development of the conceptual provisions of the qualitative theory
R. R. Mukhin
269–290
Methodology of simulation modeling of pedagogical systems
E. N. Nadezhdin, I. L. Fedotenko, E. E. Smirnova
291–304
Transmission of spherical sound wave through an elastic plate with an inhomogeneous coating
L. A. Tolokonnikov, T. S. Nguyen
305–319
Tensor theory of deformation damage
N. D. Tutyshkin, V. Yu. Travin
320–336

MEMORABLE DATES
To the 90th anniversary of Professor Alexander Sergeevich Simonov (04.09.1932 - 20.02.2013)
N. M. Dobrovolsky, I. V. Denisov, I. V. Dobrynina, E. V. Manokhin
337–347
To memory of Alexander Vasilyevich Mikhalev
I. N. Balaba, S. S. Demidov, N. M. Dobrovol'skii, N. N. Dobrovol'skii, I. A. Ivanov-Pogodaev, A. Ya. Kanel-Belov, Yu. V. Nesterenko, I. Yu. Rebrova, A. L. Semenov, A. A. Fomin, V. G. Chirskii, V. N. Chubarikov
348–350
 
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