Geodesic

Sommaire du Fascicule no. 1

Additive properties of product sets in the field $\mathbb{F}_{p^2}$
p. 3-8
Testing the hypothesis on the “drift” of parameters in the moving average model
p. 8-11
A class of determining functionals for quasilinear elliptic problems
p. 11-15
The complexity of depth-two information networks
p. 16-19
Probabilistic zeta functions of subgroup functors
p. 20-23
An estimate for the number of consecutive quadratic residues
p. 24-28
Splitting schemes for the ocean dynamics equations
p. 28-33
Classes generated by monotone symmetric functions in the three-valued logic
p. 33-37
The Okhotsimskii--Pontryagin method in control theory and analytical mechanics. Part~II
p. 38-44
Mobile robots with two independent coaxial drive wheels: Dynamics and the schemes of control
p. 44-50
A study of linear time-varying systems
p. 50-60
The number of $\mathrm{S}$-precomplete classes in the functional system $P_k^\tau$
p. 61-62
Summation of the Euler function values over numbers of the form $p-1$
p. 63-65
Vulnerabilities of one cryptographic protocol
p. 65-66
The problem of stopping the flow of a viscoplastic medium in a channel
p. 67-70

Sommaire du Fascicule no. 2

Rakhmatulin waves (to the 100th anniversary of Kh.\,A. Rakhmatulin)
p. 3-6
Irreducible modules over a Jordan plane over a field of characteristic zero
p. 7-10
Fragments of Euler’s correspondence on problems of vessel stability
p. 10-13
A class of sets of uniqueness for multiple Walsh series
p. 14-21
Non-existence of distinct codirected locally minimal trees on a plane
p. 21-25
A study on the fragmentation of space debris particles at high-speed collision
p. 26-35
Motion of a slender body near the free surface of a compressible fluid
p. 35-44
Analysis of catalytic properties of siliconized heat-shielding coatings
p. 44-49
Experimental studies of subsonic flow around a tandem of permeable and solid disks
p. 49-52
Asymptotic behavior at infinity for solutions of Emden-Fowler type equations
p. 53-56
Linear independence of values of Lerch functions
p. 56-59
Recognition of derivability for the Lambek calculus with one division
p. 59-62
Lambek calculus with one division and one primitive type permitting empty antecedents
p. 62-65
Joint approximations of the square root, logarithm, and arcsine functions
p. 65-69
A problem of the fastest detection of regime changing for Levy processes
p. 69-71
Depth of $\alpha$-completions of systems of Boolean functions
p. 72-75
A new estimate of the Montgomery constant in the theory of zeros distribution of the Riemann zeta-function in the critical stripe
p. 76-77
A generalization of the Gauss sum
p. 77-80

Sommaire du Fascicule no. 3

Viktor Antonovitch Sadovnichii (to 70th anniversary of the birthday)
p. 3-6
The inductive dimension of a space by its normal base
p. 7-14
The asymptotics of the eigenvalues of a fourth order differential operator with summable coefficients
p. 14-17
Relations between moduli of smoothness in different metrics
p. 17-25
Controlling solutions to a linear differential equation
p. 25-33
Weakly infinite-dimensional spaces modulo simplicial complexes
p. 33-40
The sum of Dirichlet characters of a polynomial over a reduced residue system
p. 40-43
Oscillation theorems for Sturm--Liouville problems with distribution potentials
p. 43-49
Mixed testing strategies in the quality check problem for stabilization algorithms
p. 50-53
Refinement of trajectory parameters for GPS and GLONASS navigation satellites using IGS position data
p. 53-56
Unsteady motions of dense envelopes generated by ionization-shock fronts in the interstellar medium
p. 56-62
Motion of a single hailstone
p. 62-67
Evolution of detonation propagation through an annular gap into a combustion chamber
p. 67-72

Sommaire du Fascicule no. 4

The complexity and depth of Boolean circuits for multiplication and inversion in some fields $GF(2^n)$
p. 3-7
Relation between two measures of the computation complexity for systems of monomials
p. 8-13
Uniform Morse lemma and isotopy criterion for Morse functions on surfaces
p. 13-22
Expansion over a system of shifts of pyramidal functions
p. 22-28
An elementary proof of the irrationality of $\zeta(3)$
p. 28-35
Localization of small zeros of sine and cosine Fourier transforms of a finite positive nondecreasing function
p. 35-41
On flat thin elastic rods with rapidly varying periodic characteristics
p. 42-46
A solution to the hydraulic fracture problem in the traveling wave form
p. 46-49
To a formulation of the flutter problem for a conical shell with a small apex angle
p. 49-53
Using continuous models in the analysis of vibrational spectra for carbon nanotubes
p. 53-56
Estimation of instrumental errors for an inertial navigation system using the Schuler period
p. 56-60
Quality testing algorithms for the manual reentry guidance of the Soyuz-TMA spacecraft using a dynamic bench
p. 60-63

Sommaire du Fascicule no. 5

Optimal use of components of a dyadic wavelet representation
p. 3-6
M\"obius strips with flat metrics
p. 7-10
Twice continuously differentiable semilocal smoothing spline
p. 11-19
Block ILU-preconditioners for problems of filtration of a multicomponent mixture in a porous medium
p. 19-25
Equivalent transformations of formulas in $P_2$
p. 25-32
A data recovery algorithm for a video analysis of human movements on the basis of force plate measurements
p. 33-37
A method of determining the material functions in the linear moment theory of elasticity
p. 37-41
New constitutive relations in the nonlinear theory of viscoelasticity
p. 41-47
Algebraic operations on graphs preserving the degree sequence
p. 48-50
Numerical solution of some unstable problem
p. 50-53
Characterization of commutative matrix subalgebras of maximal length over an arbitrary field
p. 53-55
Complexity of self-correcting circuits for some sequence of Boolean functions
p. 55-57
Dividend optimization under the gamma-distribution of claims
p. 57-60
Upper and lower bounds for dividends in the discrete model
p. 60-62
An algorithm for simulation of flows of a generalized Newtonian fluid
p. 63-65
Structural equivalence of mathematical billiards
p. 66-69
Supersonic flow around a body of small elongation
p. 69-71
Rotational modes of motion for an aerodynamic pendulum with a vertical rotation axis
p. 71-75
Contamination of a porous bed by a moving front with a finite porosity jump
p. 75-80

Sommaire du Fascicule no. 6

The nilpotent $\pi$-length of maximum subgroups in finite $\pi$-soluble groups
p. 3-8
Generalized double layer potentials
p. 8-17
Application of Markov’s quadrature in orthogonal expansions
p. 18-22
Algebraicity of the radical in local rings
p. 23-26
Cantor set and interpolation
p. 26-32
Hydraulic fracture crack propagation driven by a non-Newtonian fluid
p. 33-41
Plane nonaxisymmetric deformation of a viscoelastic cylinder with consideration of its physical and geometric nonlinearity
p. 41-45
Waterman classes and piecewise monotone approximations
p. 46-48
Parallel CPR preconditioner for a multicomponent fluid flow filtration problem in a porous medium
p. 48-50
Adaptive approximation of a filtration problem for a viscous compressible fluid in a fissured porous medium
p. 51-52
Integral formulas in symmetric and asymmetric elasticity
p. 52-56
Archery simulation: Error estimation and comparison of numerical and experimental results
p. 56-59
Research seminar on gas and wave dynamics
p. 60-61