Geodesic

Sommaire du Fascicule no. 1

Closed classes in the functional system of polynomials with real coefficients
p. 5-14
Congruences of a free unar
p. 15-26
Nonlinear method of angular boundary functions in problems with cubic nonlinearities
p. 27-39
The problem of solvability of a positive theory of an arbitrary group is algorithmically unsolvable
p. 40-49
Regularized asymptotics of the solution of a singularly perturbed mixed problem on the semiaxis for an equation of Schrodinger type in the presence of a strong turning point for the limit operator
p. 50-68
First Appelrot class of pseudo-Euclidean Kovalevskaya system
p. 69-88
Application of megastable system with $2$-$D$ strip of hidden chaotic attractors to secure communications
p. 89-103
Partially-isospectral Sturm--Liouville boundary value problems on the finite segment
p. 104-113
The left-invariant Sasakian structure on the group model of the real extension of the Lobachevsky plane
p. 114-126
Strengthening of Gaisin's lemma on the minimum modulus of even canonical products
p. 127-138
On symmetries of 3-dimensional algebraic continued fractions
p. 139-181
On the best polynomial approximation of functions in the Hardy space $H_{q,R}, (1\le q\le\infty, R\ge 1)$
p. 182-193
A criterion for the unique solvability of the spectral Poincare problem for a class of multidimensional hyperbolic equations
p. 194-202
The de~Rham cohomology of the algebra of polynomial functions on a simplicial complex
p. 203-212
On the solvability of the occurrence problem in a certain class of Artin groups
p. 213-218
The neighborhood of the Voronoi main perfect form from five variables
p. 219-227
On Buschman--Erdelyi and Mehler--Fock transforms related to the group $SO_0(3,1)$
p. 228-236
On the set of exceptions in the product of sets of natural numbers with asymptotic density~$1$
p. 237-242
Empirical mathematical model of the dynamics of change in the coefficient of friction of a polymer composite material on steel 20X13 in vacuum during ion bombardment
p. 243-252
Stress concentration in a layered plane with an elliptical cutout
p. 253-263
XVIII century. At the origins of regular mathematical education in Russia. course of pure Mathematics>> by Yefim Dmitrievich Voityakhovsky
p. 264-275
Methodology of teaching the basics of artificial intelligence in the school course of computer science
p. 276-293
On the crater of an ejection formed by an explosion of two flat surface cord charges
p. 294-303
Analytical substantiation of the gyroscopic effect in the works of ~O.~I.~Somov
p. 304-312
Alexey Nikolaevich Parshin in the world of humanitarian sciences
p. 313-324
Igor Moiseevich Krichever (in memoirs)
p. 325-333
Sergey Sergeevich Demidov (to the 80-th anniversary of his birth)
p. 334-355

Sommaire du Fascicule no. 2

Bases of complete systems of rational functions with rational coefficients
p. 5-14
On the exceptional set of a system of linear equations with prime numbers
p. 15-37
On the rate of convergence of Ces\`aro means of double Fourier series of functions of generalized bounded variation
p. 38-62
The problem of finding a function by its ball means values
p. 63-80
Boundary stability in the Fermat--Steiner problem in hyperspaces over finite-dimensional normed spaces
p. 81-128
Boas conjecture on the axis for the Fourier--Dunkl transform and~its generalization
p. 141-153
Convergence domains of the zeta function of some monoids of natural numbers
p. 154-164
Solvability conditions of the Cauchy problem for a system of first-order quasi-linear equations, where ${f_1}(t,x), {f_2}(t,x), {S_1}, {S_2}$ are given functions
p. 165-178
Explicit constructions of extensions of complete fields of characteristic $0$
p. 179-196
Coercive estimates, separability and coercive solvability of a nonlinear elliptic differential operator in a weight space
p. 197-213
On Bykovsky estimates for deviations of generalized parallelepipedal grids
p. 214-227
Consideration of a singular series of the asymptotic formula of Kloosterman's problem
p. 228-247
On an expansion numbers on Fibonacci's sequences
p. 248-255
About the ideal economic situation - the growth of capital and the function of consumption in some models of economic growth
p. 256-265
Integration of the KdV equation of negative order with a free term in the class of periodic functions
p. 266-275
On polyadic numbers
p. 276-283
I.~M.~Vinogradov at Saint Petersburg Emperor University: to the problem stating
p. 284-293

Sommaire du Fascicule no. 3

Generalized Hankel transform on the line
p. 5-25
Solving the problem of partial hedging through a dual problem
p. 26-41
Pairs of mutually complementary $2$-dimensional simplicial polyhedra: Interesting examples
p. 42-55
On the dispositions of two $M$-singular curves of degree $4$, the oval of one of which coils around the oval of the other
p. 56-70
Generalization of Waring's problem for nine almost proportional cubes
p. 71-94
Interpolation for a system of concentric grids
p. 95-121
Constant rations for inflection points of a cubic curve with a node or an acnode
p. 122-138
The exact Jackson--Stechkin inequality in $L_{2,\mu_{\alpha}}$
p. 139-161
On estimates for the period length of functional continued fractions over algebraic number fields
p. 162-189
Some tensor invariants of geodesic, potential, and dissipative systems with four degrees of freedom
p. 190-211
Complex valued approach to the system of non-linear second order Boundary value problem and multivalued mapping via fixed point method
p. 212-227
On one additive problem connected with expansions on linear recurrrent sequence
p. 228-241
On the sequence of fractional parts of the ratio of Fibonacci numbers $x_{n+1}=\left\{\frac{F_{n+1}}{F_n}x_n\right\}$
p. 242-250
History of the algebraic seminar at the Tula State Lev Tolstoy Pedagogical University youth eyes
p. 251-262
Calculus of variations in the large: birth, formation, applications
p. 263-288
The vortex dynamics in an isolated spheroidal (elliptical) vortex and its relationship with a charge
p. 289-303
Wac{\l}aw Franciszek Sierpi\'nski (1882 -- 1969) and the phenomenon of Polish set theory school
p. 304-319
Identification of a model of a nonlinear elastic anisotropic material with cubic symmetry of properties
p. 320-332
Digital-to-analogue conversion of piecewise-linear and periodic functions of wave deformation in metals
p. 333-340

Sommaire du Fascicule no. 4

Andrey Nikolaevich Kolmogorov at the turning point of the national history of the 50-s--60-s
p. 5-11
Lattices of topologies and quasi-orders on a finite chain
p. 12-21
On one generalized interpolation polynomial operator
p. 22-32
Methods for determining optimal mixed strategies in matrix games with correlated random payoffs
p. 33-47
The intertwining operator for the generalized Dunkl transform on the line
p. 48-62
On the complexity functions of Sturmian words
p. 63-77
On the chromatic number of slices without monochromatic unit arithmetic progressions
p. 78-84
Volterra integro-differential equation of arbitrary order with power nonlinearity
p. 85-103
Universality and antiuniversality theorems for zeta functions of monoids of natural numbers
p. 104-136
A distribution related to Farey series
p. 137-190
On bijective functions of fixed variables in the Galois field of~$p^k$~elements and on the ring of $p$-adic integers for an odd prime number~$p$
p. 191-205
The space of Dirichlet series to multivariate lattices
p. 206-211
Invariant differential polynomials
p. 212-238
Generalized Laplace Transform Based on the Differentiation Operator With Piecewise Constant Coefficients
p. 239-251
On Some arithmetic applications to the theory of symmetric groups
p. 252-263
Generalization of Goldbach's ternary problem with almost equal terms
p. 264-298
Smooth variety of lattices
p. 299-310
On the number of lattice points of linear comparison solutions in rectangular areas
p. 311-324
On the diophantine inequalities with prime numbers
p. 325-334
On the accuracy of quadrature formulas with optimal parallelepipedal grids
p. 335-340
Factor and arithmetic complexity of concatenating the $n!$
p. 341-344
On the estimation of the error of quadrature formulas with optimal parallelepipedal grids II
p. 345-353
On the extremal set of quotient of natural numbers
p. 354-360
Historical and mathematical heritage of Fyodor Andreevich Medvedev (to the 100th anniversary of his birth)
p. 361-371
About the history of the scientific school of Applied Probabilistic analysis and Queuing theory of the PT\ Department of Tomsk State University
p. 372-379
Alexey Yakovlevich Kanel-Belov
p. 380-400
Decision of the XXII International Scientific Conference “Algebra, number theory, discrete geometry and multiscale modeling: modern problems, applications and problems of history” dedicated to the 120-th anniversary of the birth of Academician A. N. Kolmogorov and the 60-th anniversary of the opening of boarding school № 18 at Moscow University
p. 401-402

Sommaire du Fascicule no. 5

On cardinality of character sums with Beatty sequences associated with composite modules
p. 5-15
On number of sheets of coverings defined by a system of equations in $n$-dimensional spaces
p. 16-30
Regularized asymptotics of the solution of a singularly perturbed Cauchy problem for an equation of Schrodinger with potential $Q(x)=x^2$
p. 31-48
A proof of the L'H\^opital's rule
p. 49-69
Estimation of the distribution of fractures by sizes and orientations based on data on fracture traces
p. 70-84
Involutions in the algebra of upper triangular matrices over the ring of algebraic integers of quadratic fields
p. 85-111
Mean function estimation for a noisy random process under a sparse data condition
p. 112-125
Verification of the generalized hypothesis of Mishchenko--Fomenko for Lie algebras of small dimension
p. 126-135
Representation of subharmonic functions in the half-ring and in the half-disk
p. 136-152
Nearly trans-Sasakian almost $C(\lambda)$-manifolds
p. 153-166
About cotangent
p. 167-179
Some generalizations of the Faa Di Bruno formula
p. 180-193
On the enumeration of convex $RR$-polyhedra
p. 194-207
Geometric properties of rocks, broken into blocks by cracks
p. 208-216
Hyperbolic zeta function of two-dimensional diagonal unimodular lattices
p. 217-221
Algorithmic issues of constructing generalized parallelepipedal grids
p. 222-227
Kolmogorov's type inequalities in Bergman space $B_2$ and some of its applications
p. 228-236
Transcendence of certain $2$-adic numbers
p. 237-243
Using of the finite element method for solving the problem of diffraction of acoustic wave on a set of elastic inhomogeneous bodies
p. 244-255
Prefracture model of a layer with a hole based on the interaction arc concept
p. 256-265
Patterns of changes in the energy of indium interchange with the elements of the periodic table (PT) from their serial number
p. 266-273
Diffraction of sound waves on an inhomogeneous thick-walled elastic cylindrical shell of finite length
p. 274-288
Diffraction of sound from a point source on an elastic cylinder with an inhomogeneous coating located near the elastic boundary
p. 289-306
From history of one unpublished paper of M.~I.~Kadets
p. 307-319
Reflection of a spherical sound wave from an elastic half-space with an adjacent inhomogeneous liquid layer
p. 320-330
Modeling of deformation damage of metals in case of plastic compression deformations
p. 331-342
Morphology of technological discontinuities in the structure of additive manufacturing products as a cause of anisotropy of their physical and mechanical properties
p. 343-356
The Otsu method for assessing porosity and distribution of structural defects in the image of computed tomography of SLM products
p. 357-372