Geodesic

Sommaire du Fascicule no. 1

Bifurcations, atoms and knots
p. 3-8
Orthogonalization of ortho-similar systems by extension to a wider set
p. 9-12
On conditions of non-quasiregularity of second-order singular differential operators in a space of vector functions
p. 13-16
Application of the principal part technique for enhancement of accuracy of numerical methods for integration of differential equations
p. 16-21
Asymptotic investigation of a hyperbolic boundary value problem in radio physics
p. 21-26
On the impact interaction between a rigid body and a support
p. 27-32
Erosion of the soil on hillsides caused by turbulent flows of rain-formed liquid layers
p. 32-39
On fractals in mechanics
p. 40-44
On existence of interference between the components of biharmonic functions
p. 45-48
On the normal form of an element of a free Stasheff algebra
p. 48-50
On the Diophantine equation $ax^3+bx^2+cx+dy+e=xyz$
p. 50-52
Serial rings of skew Laurent series
p. 52-55
On the generalized Hadamard inequality for multiple integrals
p. 55-58
On $Q$-universal normed groups
p. 58-61
New proof of Frobenius hypothesis on the dimensions of real algebras without divisors of zero
p. 61-63
Regimes with weak peaking in filtration flows
p. 63-66
Solution of the Love problem with nonclassic boundary conditions
p. 66-70

Sommaire du Fascicule no. 2

On the growth of the number of discrete Lipschitzian functions when the dimension of the domain increases
p. 3-7
Hermite--Pad\'e approximants for some $q$-basic hypergeometric series
p. 7-11
On the multiple Perron integral
p. 11-14
Theorems on the continuation of upper semicontinuous selections and of selections close to them of lower semicontinuous multivalued mappings
p. 14-18
Essential dimension and stable rationality of algebraic groups
p. 18-21
Equiconvergence of expansions in eigenfunctions of finite-dimensional perturbations of the integration operator
p. 21-26
On the Zel'dovich--Neumann--D\"oring detonation
p. 27-29
On a method for realizing unilateral constraints
p. 30-35
The vortex theory of adiabatic equilibrium processes
p. 35-40
The Miller--Rabin algorithm
p. 41-42
On the solvability in the H\"older space $\underset{0}C{}_\lambda^{1+\alpha,\frac{1+\alpha}2}(\bar\Omega)$ of the second boundary value problem for parabolic systems in a domain with a nonsmooth lateral boundary
p. 43-45
Extension of the theorems of V.\,S.~Fedorov and T.~Rado to solutions of the heat equation
p. 45-48
Best approximations of functions and approximations by Steklov functions
p. 49-52
On the equilibrium positions of a three-link pendulum with a rotating suspension point and their stability
p. 52-54
On the Jellett--Chaplygin integral
p. 54-56
Research seminar on gas and wave dynamics
p. 57-58
Rashevsky research seminar on vector and tensor analysis and applications to geometry, mechanics, and
p. 58-63

Sommaire du Fascicule no. 3

Growth of solutions of nonlinear degenerating elliptic inequalities in unbounded domains
p. 3-7
On Jackson's theorem for the modulus of smoothness determined by a nonsymmetric generalized shift operator
p. 7-15
Nonstationary characteristics of queueing in the system $M/G/1$ with inverse probabilistic service discipline in unbounded domains
p. 15-20
Some factorization theorems for spaces that are close to metrizable spaces
p. 20-23
On the approximation of attractors of semidynamical systems
p. 24-28
Strain-induced anisotropy in problems of stability for thin-walled elastoplastic constructions
p. 29-31
Constitutive relations of the nonsymmetric theory of elasticity in the presence of external fields and the Airy function
p. 32-35
On the efficiency of convective and wave mechanisms of excitation of Langmuir circulations
p. 36-40
Christoffel symbols and the second surface tensor with new parametrization of the shell space
p. 41-45
On global and nonglobal relations between the values of $\mathrm{E}$-functions
p. 46-47
The complexity hierarchy of Boolean bases
p. 48-50
On the asymptotic behavior of sums associated with Farey fractions
p. 51-53
The omega theorem for the Riemann zeta function near the line $\operatorname{Re}s=1$
p. 54-57
On the cardinality of the singular set in a binary additive problem with prime numbers on short intervals
p. 57-61
On the attainability of minimal exponents in the class of infinitesimal perturbations
p. 61-63
On evasion trajectories on a plane
p. 64-66
On the effect of dissipative and constant forces on the form and stability of steady motions of the Lagrange top
p. 66-69
On the problem of the motion of a perturbed symmetric rigid body
p. 69-70
Alexandrov research seminar on general topology
p. 71-76

Sommaire du Fascicule no. 4

The Feynman--Kac formula for an infinite-dimensional stochastic equation of Schr\"odinger type
p. 3-7
Normal functors and the metrizability of compact Hausdorff spaces
p. 8-11
An analogue of the second Lie theorem for a class of locally convex local Lie groups
p. 11-14
De Rham--Hodge--Kodaira decomposition on an infinite-dimensional space with a smooth product-measure
p. 14-18
Maxima in the $M|M|\infty$ system with branching
p. 18-21
The image of the Weil homomorphism in the case of a quantum principal bundle
p. 21-27
Rain erosion of soil on the hillside
p. 28-34
On the observability of mechanical systems based on angular measurements
p. 34-38
Mathematical modeling of automobile traffic on highways
p. 39-44
Instability and reformation of regular waves in falling film of a viscous liquid
p. 44-48
Uniqueness of addition in the Lie algebra $sl_2$
p. 49-51
Homological dimensions of $C(\Omega)$-modules
p. 52-55
Functor $N_0$ over category of von Neumann algebras and its connection with operator $K$-theory
p. 55-58
A remark on conditions for the integrability of trigonometric series
p. 58-60
Henstock--Stieltjes integral for vector-valued functions and formula of integration by parts
p. 60-63
On the Mawhin integral and its application to Haar series
p. 63-66
The problem on equilibrium of a nonhomogeneous band
p. 66-70

Sommaire du Fascicule no. 5

Partial bent-functions
p. 3-6
Countable products of \v Cech-complete linearly Lindel\"of and initially compact spaces
p. 7-9
Closed embeddings of functional spaces in products of spaces and Grothendieck's theorem
p. 9-12
Solvability of a nonclassical parabolic problem arising in radiophysics
p. 12-19
Sequences of binary words with the conditional simplicity relation
p. 19-22
The Chern--Weil construction for complex Clifford algebras
p. 22-27
Vladimir Grigor'evich Demin (1929--1996)
p. 28-29
Frequency nondegeneracy in problems of celestial mechanics
p. 30-35
Influence of the atmosphere density gradient on rotation and orientation of a dumbbell-shaped satellite
p. 35-38
Steady motions of forced Lagrange’s top in a resisting medium
p. 39-43
Newton and Ivory attraction theorems in spaces of constant curvature.
p. 43-47
Oscillations of a walking apparatus about the axis of a smooth supporting cylinder
p. 47-49
Equivalence of different definitions of a double regular integral on a plane
p. 50-53
On discrete logarithmization in some groups
p. 53-55
Rings of skew Laurent series and principal ideal rings
p. 55-57
An example of a non-complemented Hilbert $W^*$-module
p. 58-59
Estimates precise with respect to height for simultaneous approximations of some linear forms
p. 59-62
An application of fractional calculus to the theory of viscoelasticity
p. 62-66

Sommaire du Fascicule no. 6

Symmetries of Einstein equations. An approach using the formal theory of Lie pseudogroups
p. 3-8
Functional central limit theorem for the solution of a many-dimensional Burgers equation with initial data given by an associated random measure
p. 8-15
Direct and inverse Kolmogorov equations for the stochastic Schr\"odinger equation
p. 15-20
Universal homogeneous ultrametric on the space of irrational numbers
p. 20-24
The unit tensors of second and fourth ranks under a new parametrization of a shell space
p. 25-28
Vaporization rate of a droplet in its motion within a viscous vapour flow (the case of internal heat release)
p. 29-33
Conditions of kinking for an elastic rod
p. 33-37
Effect of catalytic properties on high-temperature heat-protected surface covers in problems of Martian atmospheric entry
p. 37-44
Asymptotic decomposition of a smooth measure in a Hilbert space
p. 45-47
Limits of nonreductive algebraic subgroups
p. 47-50
One combinatorial inequality
p. 50-52
On arguments of Gauss sums
p. 52-55
Cyclic homologies of some rings of algebraic numbers
p. 56-59
On the uniqueness of the positive solution of an equation of $n$th degree
p. 59-62
An obstruction to the existence of a connection on a bimodule
p. 62-65
On the depth and complexity of formulas in some classes of $k$-valued logic
p. 65-68
On the representation of solutions of linear differential equations with variable coefficients
p. 68-71
Research P.\,S.~Alexandrov seminar on the general topology
p. 72-75
Research P.\,K.~Rashevsky seminar on vector and tensor analisys with applications to geometry, mechanics,
p. 76-79
Reserach seminar on algebra
Vladimir Pavlovitch Karlikov is seventy
p. 80-82