Geodesic

Sommaire du Fascicule no. 1

Alphabetical index of papers published in ``Uspekhi Matematicheskikh Nauk'' 1961--1985 (vol.~16--40)
p. 1-103
Anniversary of journal ``Uspekhi Matematicheskikh Nauk''

Sommaire du Fascicule no. 2

Periodic groups and Lie algebras
p. 1-81
Topological homogeneity. Topological groups and their continuous images
p. 83-131
Combinatorial geometries and torus strata on homogeneous compact manifolds
p. 133-168
Some problems of the qualitative theory of non-linear degenerate second-order parabolic equations
p. 169-222
Leonid Vital'evich Kantorovich (obituary)
p. 225-232
My journey in science (proposed report to the Moscow Mathematical Society)
p. 233-270
On the transversality of mappings, pre-images of mappings, and the representation of sets of degenerate matrices as images
p. 271-272
Conditioned limit theorems for the Brownian motion and for a random walk
p. 273-274
Moments of random variables and the equivariant Morse lemma
p. 275-276
The conditions of solubility by domination of concave $n$-person games
p. 277-278
On~the Coxeter transformation of an isolated singularity
p. 279-280
On the operator connecting the~$pq$- and $qp$-symbols on a hyperboloid of one sheet
p. 281-282
On~estimates of the second derivatives of the solution of the Dirichlet problem for the biharmonic equation in the neighbourhood of angular points of the boundary
p. 283-284
On~the algebraic independence of values of certain subclasses of $E$-functions
p. 285-286
Solution of a problem of convex analysis
p. 287-288
On~the problem of optimal recovery of functionals
p. 289-290
Strict inequalities for critical probabilities of a regular graph and a subgraph of~it
p. 291-292
The Schwarz derivative for diffeomorphisms and flows in~$\mathbb R^n$
p. 293-294
On~local properties of a certain class of evolution equations in a Hubert space
p. 295-296
On~some forms of embeddings of topological spaces
p. 297-298
The maximal attractor of the semigroup corresponding to the first boundary-value problem for a singularly perturbed parabolic equation
p. 299-300
Hopf radical algebras and the Steenrod algebra
p. 301-302
Reflexive and self-dual Hilbert modules over certain $C^*$-algebras
p. 303-304
On~certain asymptotic problems for the diffusion equation
p. 305-306
Stable cohomologies of complements to discriminant manifolds of singularities of holomorphic functions
p. 307-308
On the behaviour of the solution of the Cauchy problem for a~hyperbolic equation on a~compact manifold as $t\to+\infty$
p. 309-310
Erratum
Meetings of the Leningrad Mathematical Society
Conference on Nonlinear Problems of Mathematical Physics
XI All-Union School on Theory of Operators in Functional Spaces
XIX Voronezh Winter Mathematical School
Fourth Regional School on Theory of Manifolds of Algebraic Systems
XI~Republican Conference of Mathematicians of Institutes of Higher Education of Georgia (dedicate to XXVII~Congress of C.P.S.U.)
New books on mathematics

Sommaire du Fascicule no. 3

Andrei Nikolaevich Tikhonov
p. 1-12
Asymptotic formulae for the number of lattice points in Euclidean and Lobachevskii spaces
p. 13-42
On~a~new principle of superposition for optimization problems
p. 43-54
Complexes of curves and the Teichm\"uller modular group
p. 55-107
The~$\bar\partial$-equation in the multidimensional inverse scattering problem
p. 109-180
Ergodic properties of certain systems of two-dimensional discs and three-dimensional balls
p. 181-207
Morita equivalences of categories of graded modules
p. 209-210
A~generalization of the Bogolyubov--Krylov asymptotic method
p. 211-212
Asymptotic solution of a problem of detecting a signal from channels
p. 213-214
A~quadratic pencil related to a magnetoelasticity problem
p. 215-216
Local classification of moments for groups of diffeomorphisms
p. 217-218
Characterization of reflexive Banach spaces in terms of strongly exposed points of unbounded sets
p. 219-220
The~category property of the theory of polygons
On~the~spectra of adic transformations of Markov compacta
p. 222-223
On~the~solubility of mixed boundary-value problems with operator-valued coefficients
p. 224-225
Universal 3-deformations of special polyhedra
p. 226-227
On~the~problem of conjugate elements
On~one-dimensional Hamiltonian systems of hydrodynamic type with explicit dependence on the spatial variable
p. 229-230
On~sheaves and cosheaves of modules over Boolean algebras
p. 231-232
On~a~criterion for ergodicity of $G$-induced flows
p. 233-234
Typical properties of periodic billiard trajectories
p. 235-236
Il'ya Nestorovich Vekua (on his eightieth birthday)
p. 237-242
Andrei Vasil'evich Bitsadze (on~his seventieth birthday)
p. 243-245
Francesco Giacomo Tricomi (on his ninetieth birthday)
Sessions of the Petrovskii Seminar on differential equations and mathematical problems of physics
IX Soviet--Czechoslovak Meeting on Application of Functional Methods and Methods of Theory of Functions for Problems of Mathematical Physics
Sixth School on Numerical Decision of Problems of Mathemathical Physics
Meetings of the Ural Mathematical Society
Third Saratov Winter School ``Modern Problems of Theory of Functions and Applications''
New books on~mathematics

Sommaire du Fascicule no. 4

The~symmetry approach to the classification of non-linear equations. Complete lists of integrable systems
p. 1-63
Surgery on manifolds with finite fundamental groups
p. 65-103
Embedding of rings
p. 105-138
Lazar' Matveevich Gluskin (obituary)
p. 139-140
Orthogonal decompositions of Lie algebras of type $ A_{p^n-1}$ and isotropic fiberings
p. 141-142
On~the~uniqueness of the solutions of boundary-value problems in unbounded domains, and on isolated singular points of solutions of the system of elasticity theory and second-order elliptic equations
p. 143-144
On the basis property of the system of eigenvectors and associated vectors of the Dirac operator with a spectral parameter in the boundary conditions
p. 145-146
On~invariant tori of reversible systems in the neighbourhood of an equilibrium position
p. 147-148
Shape soft and shape locally soft maps
p. 149-150
Integration of pseudodifferential forms and inversion of Radon-type integral transformations
p. 151-152
Yurii Alekseevich Mitropol'skii (on~his seventieth birthday)
p. 155-159
Vladimir Igorevich Arnol'd (on~his fiftieth birthday)
Yurii Ivanovich Manin (on his fiftieth birthday)
Mark Grigor'evich Krein (on~his eightieth birthday)
p. 165-173
Boris Yakovlevich Levin (on~his eightieth birthday)
p. 175-178
Adol'f Pavlovich Yushkevich (on~his eightieth birthday)
p. 179-181
Yurii L'vovich Daletskii (on~his sixtieth birthday)
p. 183-185
Vera Nikolaevna Maslennikova (on~her sixtieth birthday)
p. 187-189
Boris Vladimirovich Shabat (on~his seventieth birthday)
p. 191-193
Vladimir Andreevich Yakubovich (on~his sixtieth birthday)
p. 195-197
Joint sessions of the Petrovskii Seminar on differential equations and mathematical problems of physics and of the Moscow Mathematical Society (tenth meeting, 19--22 January~1987)
School-Seminar ``Approximation Theory and Problems of Calculus Mathematics''

Sommaire du Fascicule no. 5

Asymptotic behaviour of the solutions of the Cauchy problem for non-linear first order equations
p. 1-47
Markov processes and partial differential equations on a group: the space-homogeneous case
p. 49-94
Homogeneous and non-homogeneous duality
p. 95-121
On~the equivalence of convergence of a regularizing algorithm to the existence of a solution to an ill-posed problem
p. 123-144
Aleksei Fedorovich Leont'ev (obituary)
p. 145-152
Evgenii Mikhailovich Nikishin (obituary)
p. 153-160
Nikolai Grigor'evich Chudakov (obituary)
p. 161-162
On~the convergence of some semimartingales
p. 163-164
On~the connection between entropy and transitivity for one-dimensional mappings
p. 165-166
On~unbounded invariant sets and attractors of some quasilinear equations and systems of parabolic type
p. 167-168
Recovering a function from its spherical means
p. 169-170
Homogeneous vector fields and Whitney umbrellas
p. 171-172
The~equation of heat conduction on graphs
p. 173-174
On~the Hilbert--Kamke problem in prime numbers
p. 175-176
Multiplet solutions of the Kadomtsev--Petviashvili equation against a finite-zone background
p. 177-178
The~implicit function theorem in degenerate problems
p. 179-180
Selim Grigor'evich Krein (on~his seventieth birthday)
p. 181-183
Aleksandr Ivanovich Koshelev (on~his sixtieth birthday)
p. 185-187
Prime number records (a~new chapter for the Guinness book of records)
Meetings of the Moscow Mathematical Society
Sessions of the Petrovskii Seminar on differential equations and mathematical problems of physics
All-Union School ``Optimal Control. Geometry and Analysis''
Inter-College School-Seminar ``Differential Equations and Their Applications''
New books on mathematics

Sommaire du Fascicule no. 6

The~life and scientific work of Vladimir Ivanovich Smirnov
p. 1-26
On~the determination of minimal global attractors for the Navier--Stokes and other partial differential equations
p. 27-73
$L_2$-Theory of the Maxwell operator in arbitrary domains
p. 75-96
Semiclassical approximation for equations with periodic coefficients
p. 97-125
The~theory of extensions and explicitly-soluble models
p. 127-168
A~local index theorem for families of $\bar \partial$-operators on Riemann surfaces
p. 169-190
Regularity of solutions of variational inequalities
p. 191-219
On~the convergence of square-integrable semimartingales
p. 221-222
Normalization of deductions and interpolation for some logics of provability
p. 223-224
A~multiplicative analogue of Bergstr\"om's inequality for the Hadamard matrix product
p. 225-226
Involutory families of functions on dual spaces of Lie algebras of type $G\underset\varphi+ V$
p. 227-228
Relations for extensions in varieties of algebras
p. 229-230
A~normal approximation for semimartingales
p. 231-232
The~equivalence of the problems of circuit computation, optimal flows, and statical equilibrium
p. 233-234
Metric and ultrametric spaces of resistances
p. 235-236
Averaging of solutions of the Neumann problem for a second-order elliptic equation and systems in elasticity theory with rapidly oscillating periodic coefficients on a perforated domain
p. 237-238
The~removal of singularities of CR-functions
p. 239-240
The~topology of surfaces of constant energy and bifurcation diagrams for integrable cases of the dynamics of a rigid body on $\operatorname{SO}(4)$
p. 241-242
On~the free alternative algebra with three generators
p. 243-244
Isomorphisms and derivations of modular Lie algebras of Cartan type
p. 245-246
An~analogue of the Gel'fand--Tsetlin basis for symplectic Lie algebras
p. 247-248
Letter to the Editor
First World Congress of Bernoulli Society
All-Union seminar ``Nonlinear Problems of Mathematical Physics''
Meetings of the Leningrad Mathematical Society
Tenth All-Union Symposium on Group Theory
New books on mathematics