Geodesic

Sommaire du Fascicule no. 1

On properties of solutions of the Cauchy problem for two-dimensional transport equations on a rotating plane
p. 3-10
Correlation approach to studying dependent discrete probability spaces
p. 10-16
Asymptotic analysis of reliability of a system with reserve elements and repairing device
p. 16-22
Specific asymptotic stability of solutions to a linear homogeneous Volterra integro-differential equation of the fourth order
p. 22-28
Coincidence preservation for a one-parameter family of pairs of Zamfirescu-type multi-valued mappings
p. 28-34
Diffraction and vibration attenuation by obstacles in elastic media
p. 35-39
On the capability of linear viscoelasticity theory to describe the effect of extending region of material linearity as the hydrostatic pressure grows
p. 39-46
On the effect of aligning moments on the wheeled vehicle dynamics at $\mu$-split
p. 46-54
On the complexity of a linear ordering of weighted directed acyclic graphs
p. 55-57
Characterization of self-similar processes with stationary increments
p. 57-60
On duality for cohomology with compact supports
p. 60-63
A subclass of solutions for equations of a reduced atmospheric model
p. 63-67
Attainability set and robust stability of perturbed oscillatory systems
p. 67-71

Sommaire du Fascicule no. 2

Stability of a solution to one combined mixed problem for the Klein--Gordon--Fock equation with a variable coefficient
p. 3-10
An example of noncomputability of exponents of a system of ordinary differential equations
p. 10-15
A method to find stress intensity coefficients for spatial cracks
p. 16-22
Wiener filter and neural network filter for measuring the road profile
p. 23-27
Local modeling of Liouville foliations by billiards: implementation of edge invariants
p. 28-32
Influence of the choice of the class of gauge functions on the properties of the Henstock--Kurzweil integral
p. 32-35
Plane sets that are Chebyshev in some norm
p. 35-39
Frames as continuous redundant codes
p. 39-43
An example of complete but not global Perron instability
p. 43-47
Explosion problems for surface charges
p. 48-52
Method for well placement optimization in oil field development
p. 52-56
Some trends in ratcheting research
p. 57-60
Theory of families of polytopes: fullerenes and Pogorelov polytopes
p. 61-72

Sommaire du Fascicule no. 3

To the 200th anniversary of Pafnuty Lvovich Chebyshev
p. 3-12
Optimal strategy for solving a special case of the knapsack problem by the branch and bound method
p. 13-22
Fast algorithms for solving equations of degree $\le4$ in some finite fields
p. 22-31
Applying the method of integration of ordinary differential equations based on the Chebyshev series to the restricted plane circular three-body problem
p. 31-36
On a fast algorithm for computing the Fourier transform
p. 36-41
The definition of the indices of oscillation, rotation, and wandering of nonlinear differential systems
p. 41-46
On Chebyshev's theorem and Bernoulli's law of large numbers
p. 46-50
Laws of large numbers for certain abstract means
p. 50-53
On the Raushenbakh resonance
p. 54-65
A modification of the Hodgkin--Huxley model and a mathematical interpretation of the principal neurophysiological ``all-or-none'' law
p. 66-69
On the invariant correspondence between the symmetric second-rank tensors and the vector systems
p. 69-74
Resonance in multicomponent linear systems
p. 74-79

Sommaire du Fascicule no. 4

A new estimate of double Fourier coefficients for functions of bounded generalized variation
p. 3-10
Functions preserving metrics and Gromov--Hausdorff space
p. 11-16
An existence criterion for maximizers of convolution operators in $L_1(\mathbb{R}^n)$
p. 17-22
Bulgakov problem for a hyperbolic equation and robust stability
p. 23-30
Short-wave instability of one-dimensional radiative-convective models of the atmosphere using a quasi-hydrostatic approach
p. 30-35
Controlled transfer in a model of biomass dynamics of root plants
p. 35-40
Reduction of a functional integral over discontinuous trajectories to integrals over continuous trajectories
p. 41-43
Action of free commuting involutions on closed two-dimensional manifolds
p. 44-47
Orbital invariants of flat billiards bounded by arcs of confocal quadrics and containing focuses
p. 48-51
Simplification of the calculation of characteristic frequencies over nonuniform scales
p. 51-55
Effect of surface for es on diffusion in a liquid at the initial time interval of film evolution
p. 55-59
Oktay Muradoviсh Kasim-Zade (29.04.1953--22.12.2020)
p. 60-63

Sommaire du Fascicule no. 5

Noncompactness of segments in the Gromov--Hausdorff space
p. 3-8
Topological analysis of an elliptic billiard in a fourth-order potential field
p. 8-19
Interconnection of partial smoothness moduli in various mixed metrics
p. 19-31
Keldysh type problem with an integral condition for two-dimensional $B$-hyperbolic equation
p. 31-39
Rotation of isosceles tetrahedron in central Newtonian force field: Staude cone
p. 40-46
Relationship between theory of incompressible disperse systems and theory of fluidization
p. 46-52
Initial alignment method for a strapdown inertial navigation system on a swing base
p. 52-56
Automata model for verifying attibuted-based access control policy in systems with a finite number of objects
p. 57-60
Classes of superfunctions on a two-elements set
p. 60-64
Bifurcations in dynamics of the Chaplygin ball
p. 64-68
To 70-th anniversary of professor V. N. Chubarikov
p. 69-71

Sommaire du Fascicule no. 6

Lindemann--Weierstrass theorem
p. 3-7
Properties of (hereditary) normal mappings
p. 7-13
Learning of bounded-weight Boolean functions
p. 14-20
Behavior of the binary rank of a graph when vertices and edges are added
p. 21-26
The Mathieu equation near the boundaries of the second and third resonance zones
p. 27-34
On the positive definiteness of the Poincar\'e--Steklov operator for elastic half-plane
p. 34-40
The galvanic correction of the gaze stabilization neural control: Part 1
p. 41-47
Lower bound of circuit complexity of parity function in a basis of unbounded fan-in
p. 48-51
Normal functors and paranormality
p. 51-53
Dynamics of rigid body with viscous filler: qualitative analysis
p. 54-57
Aleksandr Borisovich Ugol'nikov (04.12.1951--19.07.2013)
p. 58-62
To memory of Elena Aleksandrovna Morozova
p. 63-70