Geodesic

Sommaire du Fascicule no. 1

Spectral properties of some two-dimensional boundary value problems
p. 3-6
Properties of orthorecursive expansions in nonorthogonal systems
p. 6-10
Maxima of recurrent random sequences
p. 10-14
On the averaging of solutions of a second-order elliptic equation with nonperiodic rapidly changing boundary conditions
p. 14-19
The Diophantine equation $x^3+y^3=pqz^3$
p. 19-22
On the uniqueness of everywhere converging multiple Haar series
p. 23-28
Solving the problem of differential diagnostics by the method of statistical tests
p. 29-31
An asymptotic solution to the tensile crack problem in an elastic medium with varying properties (the case of plane stress)
p. 31-36
A mechanism and critical conditions for the formation of natural diamonds
p. 36-41
Homogenization of solutions of a Neumann problem for the Laplace operator in a domain with a perforated inner boundary
p. 42-46
Double extremum probability for Gaussian stationary process
p. 46-48
Multiplication on Fr\'echet spaces
p. 49-51
Orthogonal pairs.~I
p. 51-54
On the least quadratic nonresidue in an arithmetic sequence
p. 54-56
A criterion for the algebraic integrability of Hamiltonian systems with homogeneous potential of fourth degree
p. 56-58
Short surface waves in anisotropic fluids
p. 58-60
Influence of nonstationarity of fluid counterjets on cavities formed by them
p. 60-64
Reserach seminar on gas and wave dynamics
Mikhail Konstantinovich Potapov (on his 70th birthday)
p. 66-67
On the 90th anniversary of the birth of Aleksei Antonovich Il'yushin (20.01.1911 -- 31.05.1998)
p. 68-70

Sommaire du Fascicule no. 2

Effective boundedness for toric Fano three-folds
p. 3-6
Algebraic independence of values of Ramanujan functions
p. 6-10
Maximally symmetric atoms and matrix groups of second order
p. 11-16
A proof of the Feynman formula in a phase space based on Chernoff’s theorem
p. 16-21
Generalization of the ternary Goldbach problem for almost equal summands
p. 22-28
Dimension of infinite topological products
p. 29-31
Drag of a drop with inner heat release when it moves in a viscous vaporous flow
p. 32-37
Simplified estimation algorithms for systems with aftereffect that have a small parameter
p. 37-43
Superlimiting behavior of solids
p. 43-47
Stability of steady regimes of a two-phase gas-droplet chemical reactor of ideal mixing
p. 47-52
Application of Hill’s vortex to the problem of supersonic flow around bodies (the case of intensive injection)
p. 52-55
New polynomial equations of the Yang--Mills type
p. 56-59
Uniqueness of addition in Lie algebras.~I
p. 59-62
Conditions for embedding of classes $H^\omega$ into the classes of functions of generalized bounded variation
p. 62-66
On the Diophantine equation $(x+y+z)^3=nxyz$
p. 66-67
Distribution of absolute values of incomplete Gaussian sums
p. 67-69

Sommaire du Fascicule no. 3

Stabilization of interaction of a string with two nonlinear oscillators
p. 3-10
Existence and equivalence of generalized orthosimilar systems
p. 10-15
Some necessary metric conditions for flexibility of suspensions
p. 15-21
Finite gradings of simple Artinian rings
p. 21-24
Codimensions of identities with the Grassmann algebra involution
p. 25-29
An analogue of the Baum--Katz theorem for negatively associated random fields
p. 29-34
Equations of motion and boundary conditions in rod theory with several base lines
p. 35-39
Models of heterogeneous recombination on heat-shielding coatings of space vehicles entering the Martian atmosphere (the case of finite-rate adsorption of oxygen atoms)
p. 40-45
Perturbations of sliding surfaces in the three-dimensional theory of perfect plasticity
p. 45-50
A model of fragmentation of space debris particles at high-speed collision
p. 50-55
Separation of particles by sizes by means of a swirling flow
p. 56-60
Some properties of $D$-matrices
p. 61-62
Maxima of recurrent random sequences. The case of heavy tails
p. 63-66
Behavior of Shannon functions for complexity of parametric representations of Boolean functions
p. 66-68
Systems admitting polynomial integrals of third and forth degrees (the case of elastic reflections)
p. 69-71
Research P.\,S.~Alexandrov seminar on the general topology
p. 72-76

Sommaire du Fascicule no. 4

Indices of locally minimal networks on a sphere
p. 3-6
Strong law of large numbers for positively and negatively dependent random fields indexed by sets
p. 6-13
Classification of minimal networks on a complete surface of constant negative curvature with three ``parabolic ends''
p. 13-17
On Dirichlet $L$-functions modulo a power of a prime number
p. 18-24
Gas dynamics of combustible mixture ignition
p. 25-31
Operator methods for integrating Euler and Bessel equations of order $(N+2M)$
p. 31-40
Constitutive relations of a model of viscoelasticity
p. 40-43
Stability estimates in a problem of the reconstruction of a distribution of summands by a distribution of a sum
p. 44-47
Linear modalities in mininal logic
p. 47-50
Distribution of points of alternance in the approximation of a continuous function by rational fractions
p. 50-54
Approximation properties of the most simple fractions
p. 54-59
Power nonresidues modulo a prime number in a special greatest integer-sequence
p. 59-60
Trajectory approximations for observable bolides (the case of fragmentation)
p. 60-63
One model of a train
p. 63-66
Stability of vertical rotations of an axisymmetric string-driven body in a resisting medium
p. 66-68
Valentin Vital'evitch Rumyantsev (to 80th anniversary)

Sommaire du Fascicule no. 5

Asymptotic formulas for the eigenvalues of an indefinite Sturm--Liouville problem with a finite number of turning points
p. 3-11
Existence of an infinitely differentiable concave majorant of a modulus of continuity
p. 11-15
Generalized Ces\`aro summation of multiple Fourier series
p. 16-21
Complete integrability of equations of motion of a spatial pendulum in an incident medium flow
p. 22-28
The content of the concepts of force and work in classical mechanics
p. 28-31
The solar system and a quasiregular Cauchy problem
p. 32-43
Orthogonal pairs.~II
p. 44-46
Decomposition of an exponential into an infinite product
p. 46-49
Application of the method of trigonometric sums for primality testing of integers
p. 49-51
Central limit theorem for uniform distribution of fast-growing sequences
p. 52-54
Relatively perfect forms
p. 55-56
On an asymptotic formula for $F_1(x)$
p. 57-59
Optimal evasion from a persuer guided by the proportional navigation method
p. 59-63
Research seminar on gas and wave dynamics
p. 64-66
Aleksandr Sergeevitch Mischenko
p. 67-69

Sommaire du Fascicule no. 6

Homogenization of a boundary value problem in a periodically perforated domain
p. 3-9
Affinity of volume preserving mappings
p. 10-15
Realization of linear functions by formulas in various bases
p. 15-19
Solution of the Kirsch problem in a three-dimensional formulation
p. 20-25
Supersonic wedging of an elastic strip with consideration of friction forces
p. 25-29
On the normal rate of propagation of a laminar flame in a monodispersive gas-drop mixture
p. 29-39
Relations, properties and invariant transformations of $D$- and $aD$-stable matrices
p. 40-43
Sequential logic of arithmetic decidability
p. 43-48
Topological products of weakly Lindel\"of spaces
p. 48-49
The constructive equality theory
p. 50-52
Parallel addition time for several numbers
p. 52-54
Classes of $k$-valued logic that are closed with respect to the extended superposition operation
p. 54-57
On a partial solution of the equations of motion of a material point with a current element in the gravitational and magnetic fields of the Earth
p. 58-60