Geodesic

Sommaire du Fascicule no. 1

On the eightieth anniversary of the~birth of Ivan Georgievich Petrovskii
p. 1-8
$G$-convergence of parabolic operators
p. 9-60
Homology theory and duality theorems
p. 61-74
Representing systems
p. 75-137
Homological methods in Taylor's holomorphic calculus of several operators in a~Banach space
p. 139-192
On decompositions of discrete groups of motions of the plane
p. 193-215
Fedor Dmitrievich Gakhov (obituary)
p. 217-219
Ivan Semenovich Arzhanykh (obituary)
p. 221-230
Some local properties of functions
p. 231-232
The complexity of a bundle of varieties of associative algebras
The existence of conditionally periodic motions for a~system of plane vortices
p. 234-235
Estimates for solutions of second-order elliptic equations and of a~system of elasticity theory in the neighbourhood of a~boundary point
p. 236-237
Instability of equilibrium in a~potential field
p. 238-239
On the structure of level sets and the~growth of subsolutions of equations of elliptic type
p. 240-241
Penalty functions and necessary conditions for an~extremum in non-smooth and non-convex optimization problems
p. 242-243
The central limit theorem for Dyson's hierarchical model for small~$\beta$
p. 244-245
On the Noether property and asymptotic solutions of elliptic boundary-value problems with periodic coefficients in a~cylinder
p. 246-247
Singularities of the~mutual disposition of a~surface and a~line
p. 248-249
Propagation of a~solution of a~hyperbolic equation
p. 250-251
On the cohomology theory of completely regular spaces
p. 252-253
Self-applicable propositions for the~standard and Rosser predicates of provability
p. 254-255
Some conditions that imply compactness in countably-compact spaces
p. 256-257
$G$-model solutions of second-order non-linear differential equations
p. 258-259
A few words from memories about Hilbert
XIV Voronezh Winter Mathematical School
Differential-geometric methods in mathematical physics
New books on mathematics

Sommaire du Fascicule no. 2

In memory of Mikhail Alekseevich Lavrent'ev
p. 1-10
Theta functions and non-linear equations
p. 11-92
Fourier integral operators and the~canonical operator
p. 93-161
Homeomorphisms with minimal entropy on two-dimensional manifolds
p. 163-164
On a~quantum model for two-dimensional principal chiral fields
p. 165-166
On spectral differential operators with periodic coefficients
p. 167-168
On the problem of unique solubility of a~three-dimensional Navier--Stokes system for almost all initial conditions
p. 169-170
Stabilization of statistical solutions of a~non-linear parabolic equation with white noise
p. 171-172
On lower estimates for the~diameters of some finite-dimensional sets
p. 173-174
On the topological structure of compact homogeneous spaces with soluble fundamental group
p. 175-176
On the monotonicity of inductive dimensions
p. 177-178
On the curvature of the group of measure-preserving
p. 179-180
On the Schr\"odinger operator in a~magnetic field
p. 181-182
Estimates for linear forms in values of $G$-functions and their applications to the solution of Diophantine equations
p. 183-184
On a~class of homogeneous spaces of compact Lie groups
p. 185-186
Differential operators on Lie groups
p. 187-188
The characteristic equation for $3\times 3$ matrices over octaves
p. 189-190
The characteristic of the~spectrum of some boundary-value problems for the~Sturm--Liouville operator
p. 191-192
Large deviations for Gibbs random fields
p. 193-194
On new estimates for the~Weyl sums and the~remainder term in the~distribution of the~fractional parts of a~polynomial
p. 195-196
On classical solutions of quasilinear degenerate elliptic second-order equations with discontinuous coefficients
p. 197-198
Nikolai Pavlovich Korneichuk (on his sixtieth birthday)
p. 199-204
Mark Aleksandrovich Krasnosel'skii (on his sixtieth birthday)
p. 205-212
Aleksandr Filippovich Timan (on his sixtieth birthday)
p. 213-218
The finite simple groups and their classification
Second All-Union School on Theory of Finite Groups
Second enlarged session of seminar ``Ring Theory'', April 7--9, 1980
Seventh All-Union Symposium on Group Theory
Fifth Republican Conference of Byelorussian Mathematicians
All-Union Symposium on Theory of Approximation of Functions in Complex Domain
Conference ``Theoretical and Applied Problems in Mathematics'' in Tartu
R.\,A.~Aleksandryan and \`E.\,A.~Mirzakhanyan, General Topology (a~review)
Yu.\,G.~Borisovich, N.\,M.~Bliznyakov, Ya.\,A.~Izrailevich, T.\,N.~Fomenko, Introduction to Topology (a~review)
New books on mathematics
Correction

Sommaire du Fascicule no. 3

Functors and uncountable powers of compacta
p. 1-71
Asymptotic soliton-form solutions of equations with small dispersion
p. 73-149
Classes of topological groups
p. 151-174
Factorization theorems in dimension theory
p. 175-209
Covariant functors in the category of compacta, absolute retracts, and $Q$-manifolds
p. 211-233
Projective spectra and extensions of topological spaces
p. 235-240
Bounds on the degree of a~three-dimensional Fano variety representable by a~fibering on a~conic
p. 241-242
Approximation of weighted classes
p. 243-244
On countably-valued retracts of the Tikhonov cube
p. 245-246
Cartan extensions of irreducible graded modules over graded Lie algebras
The Cauchy problem for the Korteweg--de~Vries equation when the initial data are irregular
p. 248-249
On the superextensions $\lambda_nX$
p. 250-251
An analogue of Saint-Venant's principle, the Cauchy problem and the first boundary-value problem in an~unbounded domain for pseudo-parabolic equations
p. 252-253
On the solubility of a~non-linear hyperbolic equation with white noise
p. 254-255
On the instability of equilibrium in a~potential field
p. 256-257
On the exact calculation of an~integral of Martinelli--Bochner type in the ball in~$\mathbb C^n$
p. 258-259
Uniqueness theorems for the solution of the Cauchy problem and boundary-value problems in unbounded domains for degenerate quasi-linear parabolic equations of unsteady filtration type
p. 260-261
On the spectral decomposition of many-valued absolute retracts
p. 262-263
Foliations on manifolds with a~special fundamental group
p. 264-265
Signature realizable subgroups of the Wall group
p. 266-267
Weak solutions of the inverse Kolmogorov equation corresponding to the stochastic Navier--Stokes system
p. 268-269
Nikolai Vladimirovich Efimov (on his seventieth birthday)
p. 271-278
Greetings to P.\,S.~Aleksandrov on his birthday
On the seventieth birthday of N.\,V.~Efimov
Sessions of the Petrovskii Seminar on differential equations and mathematical problems of physics
New books on mathematics

Sommaire du Fascicule no. 4

Geodesic flows with hyperbolic behaviour of the trajectories and objects connected with them
p. 1-59
Plurisubharmonic measures and capacities on complex manifolds
p. 61-119
Monosplines of minimal norm and the best quadrature formulae
p. 121-180
Final motions in the three-body problem and symbolic dynamics
p. 181-200
Vladimir Mikhailovich Alekseev (obituary)
p. 201-206
Naum Il'ich Akhiezer (obituary)
p. 207-208
Feliks Aleksandrovich Berezin (obituary)
p. 209-216
Joint sessions of the Petrovskii Seminar on differential equations and mathematical problems of physics and of the Moscow Mathematical Society
Historical-Mathematical Investigations, vol.~XXV (review)
New books on mathematics

Sommaire du Fascicule no. 5

On the self-adjointness of differential operators with finitely or infinitely many variables, and evolution equations
p. 1-62
Linear groups
p. 63-128
In memory of Anatolii Illarionovich Shirshov (obituary)
p. 129-133
Extremal problems generated by spectral problems
p. 135-136
A~remark on the regularity of solutions of the Euler equation in hydrodynamics
p. 137-138
On stochastic stabilization of non-stable dynamical systems
p. 139-140
On~universal algebras with continuous signature
p. 141-142
On~perturbations of a~Schr\"odinger operator with periodic potential
p. 143-144
The global dimension of differential operator rings
p. 145-146
The asymptotic behaviour of a~system of particles with repulsion
p. 147-148
On the continuous spectrum of a~problem in hydromechanics
p. 149-150
Countably linearly independent sequences in Banach spaces
p. 151-152
Limiting states of the planar Heisenberg dynamics with a~transverse magnetic field
p. 153-154
Points of continuity of a~function and points where there is a~finite and an~infinite derivative
p. 155-156
On~a~class of sharp estimates for polynomials, moments, and analytic functions
p. 157-158
A~converse of the mean value theorem for harmonic functions
p. 159-160
$W_2^1$,~$L_\infty$-convergence of Bieberbach polynomials in a~Lipschitz domain
p. 161-162
The first boundary-value problem for a~parabolic equation in an~infinite-dimensional space
p. 163-164
Topological properties of the Schr\"odinger operator in a~magnetic field and with a~weak potential
p. 165-166
Some examples of finitely generated algebras
p. 167-168
On~the~asymptotic behaviour of solutions of the Dirichlet problem in a~domain with a~thin tube excluded
p. 169-170
On~the~well-posedness of a~mixed boundary-value problem for a~hyperbolic equation
p. 171-172
Existence and uniqueness theorems for solutions of the Cauchy problem for the Euler equations of flows of an~ideal compressible barotropic fluid with a~free boundary that initially occupies a~plane layer in space
p. 173-174
Moduli of singularities of convex hulls
p. 175-176
Exact Morse functions on simply-connected manifolds with a~boundary that is not simply-connected
p. 177-178
Restrictions and tensor products of certain irreducible unitary representations of a~pseudo-unitary group of $(3\times 3)$-matrices
p. 179-180
On~local invertibility of maps of $K$-spaces
p. 181-182
Integrally closed Noetherian rings
p. 183-184
Characterization of the diffraction intensity for certain classes of weight functions
p. 185-186
Izabella Grigor'evna Bashmakova (on her sixtieth birthday)
p. 187-190
Various aspects of integrable Hamiltonian systems
Sessions of the Petrovskii Seminar on differential equations and mathematical problems of physics
IV All-Union Symposium on Ring Theory, Theory of Algebras, and Module Theory
All-Union Symposium on Symmetry Theory and its Generalizations
Donetsk Colloquium on Free-Boundary Problems
New books on mathematics

Sommaire du Fascicule no. 6

Ivan Matveevich Vinogradov (on his ninetieth birthday)
p. 1-17
Ivan Matveevich Vinogradov as a~mathematician and as Director of the Institute (a~few words on his ninetieth birthday)
p. 19-22
Complexity problems in computational theory
p. 23-125
Multi-dimensional variational methods in the topology of extremals
p. 127-165
First- and second-order conditions in the problem of optimal high-speed
p. 167-168
Statistical ergodic theorems in Jordan algebras
p. 169-170
On~radicals of finitely generated algebras
p. 171-172
Ergodic properties of an~interacting Lorentz gas
p. 173-174
On~the~radii of exceptional discs in lower estimates of the modulus of functions of bounded type
p. 175-176
On~open $s$-images of paracompact $p$-spaces
p. 177-178
On~an~entropy characteristic of uniform means with local interaction
p. 179-180
A~multi-parametric strong law of large numbers for homogeneous random fields
p. 181-182
On~the~spectrum of a~certain non-self-adjoint operator
p. 183-184
On~the essential self-adjointness of the Schr\"odinger operator with random potential
p. 185-186
On~a~characteristic property of the disc and the~$n$-ball
p. 187-188
On~non-regular values of the parameter of a~family of polynomial maps
p. 189-190
On~a~converse of Sylow's theorem on the conjugacy of maximal $p$-subgroups of finite groups
p. 191-192
On~the well-posedness of the mixed problem for a~strictly hyperbolic operator with a~singular directional derivative
p. 193-194
On~special Lie algebras
p. 195-196
Finite simple groups of characteristic $2$- and $3$-type
p. 197-198
On~the asymptotic behaviour of the $\varepsilon,\delta$-entropy and
p. 199-200
Fibrations on manifolds whose fundamental group has non-trivial centre
p. 201-202
The~comparative strength of integral norms on subspaces of pseudo-extendable functions in the space~$H^p$
p. 203-204
On~the~minimal topology in the class of topological vector groups on~$R^1$
p. 205-206
Greetings to A.\,N.~Tikhonov on his birthday
Sagdy Khasanovich Sirazhdinov (on~his sixtieth birthday)
p. 208-214
In memory of C.~Kuratowski
p. 215-216
Decree of the Presidium of the Supreme Soviet of the USSR ``On decorating academician I.\,M.~Vinogradov with Order of October Revolution''
Infinite loop space theory
New books on~mathematics