Geodesic

Sommaire du Fascicule no. 1

On some methods of evaluating irrationality measure of the function $\arctan x$ values
p. 5-15
Quadratic forms corresponding to the faces of the Voronoi domain of perfect form in six variables
p. 16-25
Nonlinear method of angular boundary functions for singularly perturbed parabolic problems with cubic nonlinearities
p. 26-41
Uniform estimates for oscillatory integrals with smooth phase
p. 42-51
On estimates for trigonometric integrals with quadratic phase
p. 52-61
Research of the structure of the Liouville foliation of an integrable elliptical billiard with polynomial potential
p. 62-102
On congruence lattices of algebras with an operator and the symmetric main operation
p. 103-115
On the problem of abstract characterization of universal graphic automata
p. 116-126
A generalisation of Legendre's three-square theorem
p. 127-137
On the number of isohedral polyominoes
p. 138-154
$Wt-$ distance over $b-$ metric space
p. 155-163
On coprime elements of the Beatty sequence
p. 164-169
On some product of $\mathrm{SM}$-groups
p. 170-175
Elimination of maximal jumps
p. 176-183
On simultaneous approximations of some hypergeometric functions
p. 184-191
An example of constructing a mathematical model for solving a practice-oriented problem
p. 192-204
Acoustic radiation of a spheroid streamlined by a stationary flow of an ideal liquid
p. 205-214

Sommaire du Fascicule no. 2

Sultan Nazhmudinovich Askhabov (on the 70-th anniversary of his birth)
p. 5-19
Alexander Ivanovich Galochkin (on the 80-th anniversary of his birth)
p. 20-28
Аn analogue of Kolmogorov's theorem on superpositions of continuous functions for functional systems of polynomial and rational functions
p. 29-42
On the continued fraction with rational partial quotients
p. 43-66
Generalized Dunkl transform on the line in inverse problems of approximation theory
p. 67-81
Stability of production in block environments
p. 82-101
Geometry of block environs
p. 102-126
The controller with installed polling program model for vector control systems
p. 127-138
Asymptotic formula in the Waring's problem with almost proportional summands
p. 139-168
Scattering theory for the loaded negative order Korteweg–de Vries equation
p. 169-180
On Hua Loo-Keng's estimates of exponential sums in algebraic number fields
p. 181-207
The chromaticity of complete split graphs
p. 208-221
Special cases of the interpolation theorem for classical predicate calculus
p. 222-234
The support barrier functions for nonlinear parabolic problems
p. 235-242
Sufficient conditions for the existence of the solution of an infinite-difference equation with variable coefficients
p. 243-250
Continuity of Dirichlet series of $s$-dimensional lattices
p. 251-259
Dirichlet series of the second kind for irreducible lattices repeated by multiplication
p. 260-268
A non-axisymmetric diffraction problem of cylindrical sound waves on an elastic cylinder with an inhomogeneous coating located near the boundary of an elastic half-space
p. 269-285
Diffraction of sound from a point source on a cylinder with an elastic coating surrounded by an inhomogeneous liquid layer
p. 286-295
Modeling of elastic diffusion processes in a hollow cylinder under the action of unsteady volume perturbations
p. 296-317
Acoustic waves in hypoelastic solids. I. Isotropic materials
p. 318-333
Acoustic waves in hypoelastic solids. II. Anisotropic materials
p. 334-349
Sound radiation of a cylinder streamlined by a stationary flow of an ideal liquid
p. 350-358
In memory of Yury Alexandrovich Drobyshev
p. 359-361
Martin Davidovich Grindlinger (25.03.1932 – 20.05.2024)
p. 362-363
Sergei Petrovich Novikov (20.03.1938 – 6.06.2024)
p. 364-365
Ashot Enofovich Ustyn (1.09.1937 – 9.06.2024)
p. 366-367

Sommaire du Fascicule no. 3

Vladimir Grigorievich Chirskii (on the 75-th anniversary of his birth)
p. 5-10
On the simultaneous representation of numbers by the sum of five prime numbers
p. 11-36
On strongly star ideal compactness of topological spaces
p. 37-46
Sandpile patterns on a regular graph of degree eight
p. 47-69
Solving inequalities using radical and adjacent functions
p. 70-85
Characterization of the Dedekind and countably Dedekind extensions of the lattice linear space of continuous bounded functions by means of order boundaries
p. 86-100
Existence of irreducible multitours of multiplicity $2$
p. 101-117
The faithful enveloping rings of the nil-triangular ring of type $G_2$ and their automorphisms
p. 118-142
The Sturm–Liouville operator with rapidly growing potential and the asymptotics of its spectrum
p. 143-157
The Apollonius problem for two objects and study of it
p. 158-176
Estimates of approximations of functions by trigonometric polynomials in spaces with an asymmetric norm and sign-sensitive weight
p. 177-186
Reduction of the mathematical model of some problems of mathematical economics to systems of differential equations that can be solved in quadratures
p. 187-200
Isospectral and partially isospectral Dirac operators on the finite interval
p. 201-212
Appel polynomials associated with Fourier transforms and their applications to differential equations
p. 213-225
Quaternion algebras with unitary involutions having the same subfields
p. 226-235
On problem of generalized conjugation of words in a generalized tree structures of Artin groups
p. 236-247
On an algorithm for solving the problem of power conjugacy of words in generalized tree structures of Artin groups
p. 248-258
Arithmetic properties of values of divergent in $\mathbb{C}$ series
p. 259-269
Tensor invariants of fifth-order dynamical systems with dissipation
p. 270-298
On the validity of 0-1 law for shallow first order properties of very sparse random graphs
p. 299-334
A certain formula of Liouville
p. 335-342
About one Briot–Bouqet equation
p. 343-350
On the formation of soft norms for evaluating the functioning of complex systems
p. 351-358
A measure of the transcendence of the Liouville number in the $p$-adic domain
p. 359-364
Infinite algebraic independence of some almost polyadic numbers
p. 365-372
On special extremal sets associated with the multiplication table of P. Erdős
p. 373-380
Unsteady sound scattering by an elastic cylinder with a continuously non-uniform coating
p. 381-395
On the canonical Ramsey theorem of Erdős and Rado: a short proof using ultrafilter theory
p. 396-407
Scattering of a plane sound wave by a cylinder with an inhomogeneous elastic coating in a moving medium
p. 408-418

Sommaire du Fascicule no. 4

The solution of some equation in primes
p. 5-26
On the information profile of three random variables with two outcomes
p. 27-41
Multidimensional Fourier interpolation and complexity of the fast Fourier transform
p. 42-52
Method for solving the Delsarte problem for weighted designs on compact homogeneous spaces
p. 53-73
Error of approximate integration and interpolation on classes of functions defined by monoids of natural numbers
p. 74-105
Chebyshev approximation in the coefficient inverse problem for an algebraic polynomial with a prescribed lowest coefficient
p. 106-119
Asymptotic formula in generalization of ternary Esterman problem with almost proportional summands
p. 120-137
On the number of points of an incomplete lattice in rectangular regions
p. 138-146
On a class of periodic elements in hyperelliptic fields defined by polynomials of odd degree
p. 147-153
About one question about the set of rational numbers determined by the quotients of two subsets
p. 154-157
How the Soviet School of History of Mathematics was born and began to live
p. 158-174
Comparison of approximate solutions to the quasi-static plate loading problem, obtained by the structural functions method and the finite element method
p. 175-196
Determination of the inhomogeneity laws for the sandwich panel core with minimal sound permeability
p. 197-212
Implementation and testing of methods for calculating the stress-strain state of elasto-plastic shells in CAE Fidesys
p. 213-227
Numeric modeling of forced multistage growth of a hole in elastoplastic solid under superimposed large strains
p. 228-238
Calculation of the stress-strain state in a pre-loaded elastoplastic body with the sequential formation of cavities based on the theory of repeated superposition of large deformations
p. 239-249
Euler iconography. Self-portrait
p. 250-298
Possibilities of dimension method for modeling of tribosystems with lubricating layer
p. 299-307
Simulation of nonlinear effective thermal conductivity using CAE Fidesys
p. 308-328

Sommaire du Fascicule no. 5

Ill-posedness of the Tricomi problem for a multidimensional mixed hyperbolic-parabolic equation
p. 5-15
$\sigma_{\Omega}$-foliated Fitting classes of multioperator $T$-groups and its satellites
p. 16-31
On the degree conjugacy of words in groups with small reduction
p. 32-44
On the property of antinormality of two-born subgroups of a free group
p. 45-56
On the zeros of mean-periodic functions with respect to the Bessel convolution
p. 57-73
On the theory of two-dimensional singular integral operators and its applications to boundary value problems for elliptic systems of equations
p. 74-89
Periodic control of biocommunity and circle homeomorphisms
p. 90-112
On the group of form classes of large degree
p. 113-125
Numerical method for solving Fredholm and Volterra integral equations using artificial neural networks
p. 126-139
On rational approximations of a singular integral on a segment by Abel — Poisson sums
p. 140-163
Complete classification of two classes of two-dimensional PI-algebras over any basic field
p. 164-182
The best joint approximation of some classes of functions in the Bergman space $B_{2}$
p. 183-194
On some analogue of the Gelfond problem for Zeckendorf representations
p. 195-215
Variational problems in the works of academician O. I. Somov. Brachistochrone and tautochrone
p. 216-227
Topological foundations of three-dimensional symmetry breaking dynamics for both Abelian and non-abelian Higgs models
p. 228-236
On covering sets of a special type by geometric progressions with a certain restrictions
p. 237-243
On the dimension of the Lie group of automorphisms of a paracontact metric manifold
p. 244-253
On question about semi-modularity of lattice of subgroups of finite groups
p. 254-261
Size effects of micropolar medium in problem on the cylindrical body torsion
p. 262-276
Pafnuty Lvovich Chebyshev – academician of the Imperial St. Petersburg Academy of Sciences (to the 300-th anniversary of the Russian Academy of Sciences and St. Petersburg State University)
p. 277-291
The effect of initial stresses on main characteristics of elastic waves in anisotropic media
p. 292-306