Geodesic

Sommaire du Fascicule no. 1

Introduction to the theory of supermanifolds
p. 1-64
Topological methods in the fixed-point theory of multi-valued maps
p. 65-143
Problems of stability in systems of ordinary differential equations
p. 145-197
Generalized identities and semiprime rings with involution
p. 209-210
On the theory of optimal control of diffusion processes according to rapidity
p. 211-212
$\Pi$-flat families of functors
p. 213-214
The stability of almost Hermitian structures on submanifolds of a~Cayley algebra
p. 215-216
Characteristic polynomials of inverse differential modules and some properties of
p. 217-218
On simple Lie algebras of characteristic~$5$
p. 219-220
Spectral asymptotic formulae of smooth elliptic operators
p. 221-222
On the total number of ovals of real forms of a~complex algebraic curve
p. 223-224
The second boundary-value problem for a~certain class of quasilinear parabolic systems of differential equations
p. 225-226
Theorems on the asymptotic proximity of solutions of many-dimensional parabolic second-order equations
p. 227-228
On the filtration problem in a~porous non-homogeneous non-isotropic medium
p. 229-230
On the behaviour of solutions of differential equations in a~half-strip
p. 231-232
Critical equivalence of functions
Bounded solutions of non-linear elliptic equations
p. 235-236
On the characteristic Cauchy problem for a hyperbolic equation
p. 237-238
Rational solutions of the Kadomtsev--Petviashvili equation and Hamiltonian systems
p. 239-240
Aleksandr Andreevich Samarskii (on~his sixtieth birthday)
p. 241-253
Missed opportunities
Meetings of the Leningrad Mathematical Society
The Donetsk conference on partial differential equations
The Second All-Union conference on asymptotic methods in the theory of singularly perturbed equations
On the Odessa city seminar on boundary-value problems and singular integral equations
Conference ``Application of algebra and functional analysis methods to the investigation of families of operators''
XIXth century mathematics. (Mathematical logic. Algebra. Number theory. Probability theory.) Edited by A.\,N.~Kolmogorov and A.\,P.~Yushkevich (a~review)
New books on mathematics

Sommaire du Fascicule no. 2

Cluster expansions in lattice models of statistical physics and the quantum theory of fields
p. 1-62
A~survey of Linnik's large sieve and the density theory of zeros of $L$-functions
p. 63-76
The actions of groups and Lie algebras on non-commutative rings
p. 77-104
On the sums of trigonometric series
p. 105-168
Asymptotic representation of orthogonal polynomials
p. 169-229
David Aleksandrovich Kveselava (obituary)
p. 231-234
A~Cantor limit set
p. 235-236
Extensions of algebraic groups that are transitive on projective varieties
p. 237-238
Cohomology of groups and algebras of flows
p. 239-240
The Poincar\'e polynomial of the space of form-residues on a~quasi-homogeneous complete intersection
p. 241-242
Mobility and extension of fundamental sequences
p. 243-244
Necessary optimality conditions in smoothly-convex problems with operator constraints
p. 245-246
The absence of $L_2$-solutions for periodic partial differential equations
p. 247-248
The boundary of a~set of stable matrices
p. 249-250
An averaging principle and a~theorem on large deviations for a~family of extensions of a~$Y$-flow
p. 251-252
Classification of flags of foliations
p. 253-254
Summability to $+\infty $ of Haar and Walsh series
p. 255-256
A~bound for the measure of the mutual transcendence of values of $E$-functions connected by arbitrary algebraic equations over~$\mathbb{C}(z)$
p. 257-258
The theory of Jordan algebras with a minimum condition
p. 259-260
Rings whose quotient rings are all semi-injective
p. 261-262
The theory of residues in commutative algebras
p. 263-264
Konstantin Ivanovich Babenko (on his sixtieth birthday)
p. 265-275
Nikolai Aleksandrovich Shanin (on~his sixtieth birthday)
p. 277-282
Georgii Dmitrievich Suvorov (on~his sixtieth birthday)
p. 283-286
Sessions of the Petrovskii Seminar on differential equations and problems of mathematical physics
The Sixth Soviet--Czechoslovak Meeting on Applications of Methods of Function Theory and Functional Analysis to the Equations of Mathematical Physics and Computational Mathematics
New books on mathematics
Correction to the paper: ``The problem of mass transfer with a~discontinuous cost function and

Sommaire du Fascicule no. 3

Relations among the invariants of topological groups and their subspaces
p. 1-23
Cardinal invariants of tightness type absolutes of spaces and continuous maps
p. 25-33
Relation between the regularity and $ \sigma$-finiteness of Radon measures
p. 35-40
Non-separable analytic spaces and measurable correspondences
p. 41-48
Paracompactness and subparacompactness in perfectly normal locally compact spaces
p. 49-55
Semimetric spaces in general relativity (on Hawking--King--McCarthy's path topology)
p. 57-69
Some results on $w$-compact spaces
p. 71-77
Intersections of countably compact subspaces of Stone--\v Cech compactifications
p. 79-89
Recent results and open problems in semigroups of continuous self-maps
p. 91-97
On perfect inverse images of lacy spaces
p. 99-108
Hyperbolic attractors of diffeomorphisms
p. 109-121
Classification of certain higher-dimensional knots of codimension two
p. 123-130
The method of scannable spectra and fully closed maps in general topology
p. 131-143
Maps onto Tikhonov cubes
p. 145-156
On the dimension $\operatorname{Dim}$ of topological spaces
p. 157-160
The study of non-smooth maps in Hilbert spaces by methods of smooth analysis
p. 161-165
Topological partially ordered Jordan algebras
p. 166-169
The extension of semimeasures and the topologization of vector lattices
p. 170-175
Dimension and metrization of uniform spaces
p. 176-178
Free algebras with continuous systems of operations
p. 179-184
Products of Radon spaces
p. 185-187
Topological spaces and vector lattices
p. 188-192
The Whitney trick in dimension four
p. 193-195
On the Bourgin--Yang theorem
p. 196-200
$\alpha$-left and $\alpha$-extended spaces
p. 201-207
The topological structure of compact homogeneous manifolds
p. 208-212
Compactification of bitopological spaces
p. 213-216
Computation of the homotopy groups of the set of invertible elements of certain $C^*$-algebras of operators, and applications
p. 217-222
Regular extensions of topological spaces
p. 223-224
Some topologies on an infinite set
p. 225-230
On the homology theory of fibre spaces
p. 231-238
Hyperbolic limit sets of evolutionary equations and the Galerkin method
p. 239-243
The theory of spaces of Ochan type
p. 244-245
Multi-valued mappings and properties of them similar to continuity
p. 246-249
Strong coshape theory
p. 250-255
On maps of non-closed sets into spheres
p. 256-259
Steenrod--Dieck operations and obstructions for admissible multiplications in cobordism theories with singularities
p. 260-263
Involutions on Stong manifolds and their application in cobordism theory
p. 264-267
Metrizability and the space of closed subsets
p. 268-273
On hereditarily infinite-dimensional spaces
p. 274-278
Massey operations, obstructions to Sullivan formality, and obstructions to Kodaira--Spencer deformations
p. 279-283
On two theorems of M.\,G.~Tkachenko
p. 284-285
Zarelua resolutions
p. 286-289
On the dimension of completely regular spaces
p. 290-293
Homology of fibre spaces
p. 294-298
On the product of hereditarily linearly-compact rings
p. 299-302
Continuous maps of one-dimensional solenoids
p. 303-308
Trees and linearly ordered bicompacta
p. 309-313
Pages from an autobiography. II
p. 315-358

Sommaire du Fascicule no. 4

Achievements and problems in Diophantine approximation theory
p. 1-80
Equations with a~difference kernel on a finite interval
p. 81-152
Aleksei Ivanovich Markushevich (obituary)
p. 153-155
Mark Aronovich Naimark (obituary)
p. 157-164
Equations over groups and groups with a single defining relation
A~probabilistic modification of the von~Neumann--Gale model
p. 167-168
The asymptotic behaviour of solutions of boundary-value problems for a second-order parabolic equation as~$t\to\infty$
p. 169-170
The singular numbers of operators increasing smoothness in the anisotropic case
p. 171-172
On quasilinear parabolic equations
p. 173-174
The asymptotic behaviour of solutions of the second boundary-value problem in unbounded domains
p. 175-176
The total number of ovals of four complex-isomorphic real algebraic curves
The behaviour at~infinity of solutions of the Neumann problem for a second-order elliptic equation in an unbounded domain
p. 178-179
On the problem of the existence of an invariant mean on a~group
p. 180-181
Averages over elements of a~certain class of finite continued fractions
p. 182-183
The Shannon--Macmillan--Breiman theorem for space-homogeneous stationary processes
p. 184-185
On hyperbolic attractors of diffeomorphisms (the non-orientable case)
p. 186-187
The Parseval identity for functions defined on a zero-dimensional group
p. 188-189
The cohomology of the $\operatorname{Der}$-complex
p. 190-191
Global asymptotic expansions in the characteristic Cauchy problem for complex-analytic functions
p. 192-193
The subalgebra of invariants of a~local ring of a~zero-dimensional complete intersection
p. 194-195
The distribution of the normed total spin in the Sarbach--Schneider model
p. 196-197
Invariant measures that are absolutely continuous in $ dx$ for one-parameter families of one-dimensional maps
p. 198-199
The functional representation of the uniform completion of the maximal and of the countably dense module of fractions of the module of continuous functions
p. 200-201
Joint sessions of the Petrovskii Seminar on differential equations and mathematical problems of physics and of the Moscow Mathematical Society (third session, January~8--10,~1980)
Some moments in the development of the Moscow school of general topology in the last half-century
About Second All-Union meeting of heads of the mathematics departments of universities
First All-Union School-Seminar ``Software for Applied Multivariate Statistical Analysis''
VII~All-Union Conference on Modern Problems of Geometry
Fifteenth All-Union Algebraic Conference
5th~School on Theory of Operators in Functional Spaces
New books on mathematics

Sommaire du Fascicule no. 5

Semireducible analytic spaces ``in the large''
p. 1-56
The method of energy estimates in mixed problems
p. 57-137
Invariant asymptotically stable tori of the perturbed Korteweg--de~Vries equation
p. 139-207
Abstract properties of the simple sporadic groups
p. 209-246
Analytic representations for $\operatorname{CR}$-functions satisfying H\"older's condition
p. 247-248
On the existence of optimal algorithms for combinatorial problems and languages
p. 249-250
Discrete groups with subexponential growth of coefficients in the Golod--Shafarevich series
p. 251-252
On derivationally prime rings
p. 253-254
A problem on inequalities for norms of differential operators on homogeneous spaces
p. 255-256
Tracing by homeomorphism
p. 257-258
On the second fundamental theorem of homological dimension theory
p. 259-260
The de Rham cohomology of weakly irregular differential systems
p. 261-262
On universality for $GEU$ unitary rings
p. 263-264
A generalization of the Zeeman--Haefliger theorem on linkages
p. 265-266
On the completeness of the elementary solutions of the problem of stationary oscillations of a finite cylinder
p. 267-268
Weight estimates for the linear mean majorants of Fourier series of orthogonal polynomials
p. 269-270
On fast calculations in some problems of linear algebra connected with Toeplitz and Hankel matrices
p. 271-272
Measures with maximal entropy for piecewise monotone transformations of an interval
p. 273-274
Distributive modules
p. 275-276
Meetings of the Moscow Mathematical Society
On the history of the Moscow Mathematical Society in the present century
Sessions of the Petrovskii Seminar on differential equations and mathematical problems of physics
New books on mathematics

Sommaire du Fascicule no. 6

Lazar' Aronovich Lyusternik (on his eightieth birthday)
p. 1-9
Lyusternik's theorem and the theory of extrema
p. 11-51
Holomorphic bundles over algebraic curves and non-linear equations
p. 53-79
$G$-pseudocompact and $G$-Hewitt spaces
p. 81-82
Some characterizations of Hewitt $\Phi$-complete proximity spaces
p. 83-84
The automorphism groups of finite class-two nilpotent groups with prime exponent
p. 85-86
On properties close to compactness
p. 87-88
Generalized group identities in the classical groups
p. 89-90
The $C^*$-algebra of the Heisenberg group
p. 91-92
Stochastic equations with jump semi-martingales
p. 93-94
On zero-dimensional pre-images of compact Hausdorff spaces with the first axiom of countability
p. 95-96
Points of discontinuity of a function, and points where an infinite derivative exists
p. 97-98
On epimorphic stability of a unitary $K_2$-functor
p. 99-100
Reduction of a~problem in meteorology to a~geometric problem
p. 101-102
On the asymptotic behaviour of the maximal sojourn time of an ergodic Markov chain in a~fixed state
p. 103-104
The Riemann--Roch theorem and the Atiyah--Hirzebruch spectral sequence
p. 105-106
On the limit cone of saddle surfaces in pseudo-Euclidean space
p. 107-108
Deformations of the manifold of positions, and quadratic integrals of a~natural system in classical dynamics
p. 109-110
Rigidity of complete surfaces of negative curvature that coincide with a~hyperbolic paraboloid outside a~compact region
p. 111-112
The enumerative theory of singularities
Meetings of the Leningrad Mathematical Society
Conference on Ill-Posed Problems
IV~Tiraspol' Symposium on General Topology and its Applications
New books on mathematics