Geodesic

Sommaire du Fascicule no. 1

Simultaneous orthogonal polynomials related to Poisson distribution
p. 3-8
Connection between moduli of smoothness in the metrics of $L_p$ and $C$
p. 8-15
Directional derivative of the weight of a minimal filling in Riemannian manifolds
p. 15-20
Lacunary Tauberian conditions for a certain class of Voronoi methods
p. 20-25
Equiconvergence of expansions into triple trigonometric series and Fourier integral for continuous functions with a certain modulus of continuity
p. 25-33
Self-induced vibrations in a string-bow system
p. 34-40
Effective material functions of laminated composites in the linear moment theory of elasticity
p. 40-45
Force interaction simulation for the motion of a spherical segment on a spherical surface with friction
p. 45-50
The sufficient condition of sign conversion for matrices over a finite field
p. 51-54
Complete tests relative to displacing faults of inputs of circuits
p. 55-59
Arithmetic properties of Euler series
p. 59-61
Bifurcation diagrams of natural Hamiltonian systems on Bertrand manifolds
p. 62-65
Description of all minimal classes in the partially ordered set $\mathcal{L}^3_2$ of closed classes of the three-valued logic that can be homomorphically mapped onto the two-valued logic
p. 65-66
Bertrand surfaces with a pseudo-Riemannian metric of revolution
p. 66-69
An analogy of linear atom chains in seismodynamics of underground pipelines
p. 69-72

Sommaire du Fascicule no. 2

Complex Hamiltonian systems on $\mathbb{C^2}$ with Hamiltonian function of low Laurent degree
p. 3-9
Minimal linear Morse functions on the orbits in Lie algebras
p. 9-16
Weighted $L^p$, $p\ge2$, for a wiener process: Exact asymptoties of small deviations
p. 17-22
Bihamilon structure and singularities of momentum mapping for Lagrange top
p. 23-27
A family of classes of functions closed with respect to a strengthened superposition operation
p. 27-31
Flutter of conical shells under external flow of a supersonic gas
p. 32-36
Horizontal motion of a body consisting of two symmetric plates
p. 36-41
Application of the averaging method to determine the pore pressure transfer coefficient
p. 41-45
QC-norm of trigonometric polynomials of special form
p. 46-49
Spectrum of wandering rates of a nonorthogonal product of two rotations
p. 49-53
Almost nilpotent varieties of arbitrary integer exponent
p. 53-57
The Dirchlet $L$-function does not vanish for $s=1$
p. 57-59
Estimate of an arithmetic sum with multiplicative coefficients
p. 59-62
One-dimensional flow of a fluid through a plane porous layer under finite strains
p. 62-65
A new cavity closure scheme to study the wall effect on the cavity flow around a plate in a channel
p. 66-69
Combined use of strapdown inertial navigation systems and odometers from the standpoint of mechanics of inertial navigation systems. Part 1
p. 69-72

Sommaire du Fascicule no. 3

Disorder problem for a Brownian motion on a segment in the case of uniformly distributed moment of disorder
p. 3-11
New case of complete integrability of dynamics equations on a tangent fibering to a $3\mathrm{D}$ sphere
p. 11-14
Verification of conical hypotheses in the multivariate Gaussian analysis
p. 15-18
The global and local realizability of Bertrand Riemannian manifolds as surfaces of revolution
p. 18-24
The estimate of the number of permutationally-ordered sets
p. 24-28
The $n$-antiproximinal sets
p. 29-34
Continuity of eigenvalues of the Laplace operator according to domain
p. 35-39
The shape of an anisotropic plastic layer compressed by parallel planes with anisotropic friction
p. 40-49
Exact solutions to nonlinear equations of suspension flow through a porous medium
p. 49-54
A class of nonlinear processes admitting complete study
p. 55-57
Colength of the variety generated by a three-dimensional simple Lie algebra
p. 58-61
Steady motions of a biconvex disk on a plane with viscous friction
p. 61-65
Brachistochrone with linear viscous friction
p. 65-69
Comparison of methods to study the slab bending on multilayered foundations
p. 69-72

Sommaire du Fascicule no. 4

Degeneracy condition for the optimal moment in the optimal stopping problem for a new functional of a symmetric random walk and its maximum
p. 3-13
Multipliers of periodic Hill solutions in the theory of moon motion and an averaging method
p. 13-24
Poincar\'e series of filtration associated with Newton diagram and topological types of singularities
p. 24-28
Embedding theorem of different metrics for a generalized Nikol'skii class
p. 28-32
Self-oscillations in the braking process of a vehicle
p. 33-39
A generalized analysis of perturbation patterns for the Poiseuille flow in a tube
p. 40-45
The sufficient condition for integrability of a generalized $Q$-integral and points of integrability
p. 46-49
Lower estimate of the length of the complete test in the basis $\{x|y\}$
p. 49-51
Estimates of polynomials of some $p$-adie numbers
p. 51-55
On a class of oscillating integrals
p. 55-57
Numerical solution of boundary integral equations of the plane theory of elasticity in curvilinear polygons
p. 57-61
Experimental and theoretical determination of Young's modulus for a composite material made of phenolic resins reinforced by short fibers
p. 61-65
Simulation of flow over the ONERA M6 wing using a parallel implementation of an implicit scheme
p. 65-68
Combined use of strapdown inertial navigation systems and odometers from the standpoint of mechanics of inertial navigation systems. Part~2
p. 68-72

Sommaire du Fascicule no. 5

Gaussian copula time series with heavy tails and strong time dependence
p. 3-7
Optimal stopping for absolute maximum of homogeneous diffusion
p. 7-13
Single tests for contacts
p. 13-18
Torsion of a circular cylinder at finite strain
p. 19-23
Limit equations of motion for mechanical systems with vibrating elements
p. 23-33
The axiom of cosymplectic surfaces and $W_4$-manifolds
p. 34-37
The uniform consistency of sign estimate for the parameter of an AR(1)-model for observations with outliers
p. 37-41
Liouville classification of integrable Hamiltonian systems on surfaces of revolution
p. 41-44
The hierarchical hub labeling is non-efficient
p. 44-47
Upper estimate of realization complexity of linear functions in a basis consisting of multi-input elements
p. 47-50
A certain mean value theorem in the number theory
p. 51-54
Graded identities in finite-dimensional algebras of codimensions of identities in associative algebras
p. 54-57
Application of Chebyshev series to integration of ordinary differential equations with rapidly growing solutions
p. 57-60
Self-oscillation periods of conical jet aerators with various apex angles
p. 60-64
Separation of gas mixtures in free molecular flow through a vibrating membrane
p. 64-67
An output signal correction algorithm for vestibular mechanoreceptors to simulate passive turns
p. 67-71

Sommaire du Fascicule no. 6

$\mathcal{A}_k$-singularities of curves and surfaces of fixed degree, quasi-degree, or multi-degree
p. 3-9
Generalized separants of differential polynomials
p. 9-14
Asymptotics of multiple trigonometric series with monotone coefficients
p. 14-22
Estimate of the distance between two bodies inside an $n$-dimensional unit cube and a ball
p. 23-28
Elastoplastic models to describe experimental data on the spallation fracture under impact of plates
p. 29-36
An estimate for the number of relative equilibria in the motion of a plane rigid body and a material point under mutual attraction
p. 37-41
The functions that do not change types of minimal fillings
p. 42-45
Realizability of singular levels of Morse functions as unions of geodesies
p. 45-48
The efficiency of perturbations in the class of linear Hamiltonian systems
p. 48-52
Ricci curvature of a weighted tree
p. 52-54
Electric mechanisms of vorticity amplification in the funnel of a tornado
p. 54-58
Effect of tangential and normal forces on the wave formation in the flow of a liquid film and a gas
p. 58-61
Formation of positional strategies for a differential game in Krasovskii's method of extremal aiming
p. 61-65
Academician Anatolii Timofeevich Fomenko
p. 66-68