Geodesic

Sommaire du Fascicule no. 1

Academician Lev Semenovich Pontryagin (obituary)
p. 1-2
Long wave asymptotics. Integrable equations as asymptotic limits of non-linear systems
p. 3-42
Some open questions in the~theory of program schemes and dynamic logics
p. 43-68
Smoothness of conjugacies of diffeomorphisms of the circle with rotations
p. 69-99
A.\,N.~Kolmogorov and approximation theory
p. 101-152
The Lam\'e wave equation
p. 153-180
The symplectic topology of completely integrable Hamiltonian systems
p. 181-219
Leonid Efimovich Sadovskii (obituary)
p. 221-222
Roman Nikolaevich Shcherbakov (obituary)
p. 223-224
Isaak Moiseevich Yaglom (obituary)
p. 225-227
On the density theorem
p. 229-230
On the existence of a~trace on a~modular $JW$-factor
p. 231-232
On the regularity of solutions of elliptic equations of high order with continuous coefficients
p. 233-234
The intersection property of radicals
p. 235-236
Averaged deficiences of holomorphic curves
p. 237-238
On the rationality of the~three-dimensional Montezano involution
p. 239-240
Majorants for $G$-movable compacta
p. 241-242
A criterion and verification of the ergodicity of cyclic game forms
p. 243-244
On the algebraic independence of values of some
p. 245-246
Lattices of non-radical type in the Lie algebras~$B_3$ and~$D_4$
p. 247-248
On convergence in the~mean of solutions of singularly perturbed degenerate elliptic equations of the~second order
p. 249-250
A note on multiple mixing
p. 251-252
Polyhedra and algebraic sets
p. 253-254
On the connections between solutions of one-dimensional and quasi-one-dimensional evolution equations
p. 255-256
Extremal projections for contragredient Lie algebras and superalgebras of finite growth
p. 257-258
Exact $K$-cohomological $C^*$-index formula. II.~The~index theorem and its applications
p. 259-260
The Laplace--Casimir operators on contractions of the Lie groups $O(n,\mathbb C)$
p. 261-262
Modules whose lattice of submodules is distributive
p. 263-264
Linear groups generated by one-parameter groups
p. 265-266
Matrix representations of infinite-dimensional Lie algebras
p. 267-268
Isospectral classes of matrix-valued finite-gap operators with symmetries
p. 269-270
Dmitrii Andreevich Gudkov (on his seventieth birthday)
p. 271-273
Vladimir Aleksandrovich ll'in (on his sixtieth birthday)
p. 275-278
\`Eleonora Aleksandrovna Storozhenko (on her sixtieth birthday)
p. 279-281
Aleksandr Andranikovich Talalyan (on his sixtieth birthday)
p. 283-285
On an article published in the~journal ``The Young Guard''
New books on mathematics

Sommaire du Fascicule no. 2

Brownian local time
p. 1-51
Normalization of a Hamiltonian system near an invariant cycle or torus
p. 53-89
Geometric aspects of averaging
p. 91-144
Spectral theory of two-dimensional periodic operators and its applications
p. 145-225
The theory of difference analogues of special functions of hypergeometric type
p. 227-278
The spectral asymptotic behaviour of differential operators in unbounded domains of finite measure
p. 279-280
The splitting of separatrices and the~generation of isolated periodic solutions in Hamiltonian systems with one and a~half degrees of freedom
p. 281-282
A theorem on the~subalgebras forming an~orthogonal
p. 283-284
On the behaviour of a~Hamiltonian system in a~neighbourhood
p. 285-286
Rolle's theorem for certain differential operators and applications
p. 287-288
On the rate of convergence in the~central
p. 289-290
Surjective stabilization of the~$K$-functor for Chevalley
p. 291-292
Layerwise construction of $L$-bodies of lattices
p. 293-294
Stable range and stability of arbitrary vectors
p. 295-296
Letter to the Editors
Preface for the book of I.\,I.~Zhegalkin and M.\,I.~Sludskaya ``Introduction to Calculus''
Meetings of the Leningrad Mathematical Society
Siberian School ``Algebra and Analysis''
New books on mathematics

Sommaire du Fascicule no. 3

Linkings and Pfaff's equations
p. 1-65
Boundary values of solutions of operator-differential equations
p. 67-111
Algebraic geometric aspects of smooth structure.~I. The Donaldson polynomials
p. 113-178
Aleksandr Filippovich Timan (obituary)
p. 179-180
Coercive estimates and separability for differential operators of arbitrary order
p. 181-182
Boundary control by semilinear evolution equations
p. 183-184
On the reduction of pseudodifferential operators with bounded symbols to operators over $C^*$-algebras on compact manifolds
p. 185-186
On the structure of Tate modules
p. 187-188
On perfect maps of non-compact spaces
p. 189-190
Resonance regions for dynamical systems of Mathieu type
p. 191-192
Plücker formulae and Cartan matrices
p. 193-194
On the limiting behaviour of the spectrum of a sequence of operators defined on different Hilbert spaces
p. 195-196
Homologies of complete Brouwer lattices
p. 197-198
The problem of calculating the~volume of a~polyhedron is enumerably hard
p. 199-200
Versal deformations of intersections of invariant submanifolds of dynamical systems
p. 201-203
Existence and stability of the relaxation torus
p. 204-205
On the group $K_0$ of a~continuous family of algebras $A_\theta$
p. 206-207
Spinor bundles over real algebraic curves
p. 208-209
On a new way of writing the Navier--Stokes equation.
p. 210-211
Classification of contact-projective structures on supercircles
p. 212-213
Invariants of the integrable cases of Euler and Lagrange
p. 214-215
On arithmetical properties of solutions of norm equations
p. 216-217
On the topology of spaces of functions without complex singularities
p. 218-219
Fundamental functors of differential calculus in graded algebras
p. 220-221
Dmitrii Konstantinovich Faddeev (on his eightieth birthday)
p. 223-231
Errata
Conference on Nonlinear Problems of Mathematical Physics
School on Theory of Finite Groups
Issyk Kul School on General Topology
All-Union Seminar on Computational Solution of Problems of Mathematical Physics deducated to the memory of K.\,I.~Babenko
Scientific Conference ``Methods of Algebra and Logic''
All-Union School ``Optimal Control. Geometry and Analysis''
XIII School on Operator Theory in Functional Spaces
First All-Union Seminar on Nonstandard Analysis
Autumn School ``Topology Applications in Algebra and Differential Geometry''
New books on mathematics of Publishing House ``Nauka''
About the book ``Mathematics Today''

Sommaire du Fascicule no. 4

Sergei L'vovich Sobolev (obituary)
Asymptotics of the distribution of the spectrum of random matrices
p. 3-36
Valuations and sheaves. On some questions of non-standard analysis
p. 37-112
Factorization theory for single-valued analytic functions on compact Riemann surfaces with boundary
p. 113-156
Some unsolved problems in the theory of differential equations and mathematical physics
p. 157-171
Joint sessions of the Petrovskii Seminar on differential equations and mathematical problems of physics and of the Moscow Mathematical Society (twelfth meeting, 18--21 January~1989)
p. 173-202
On~the canonical forms of third-order partial differential equations
p. 203-204
Rao-Cram\'er inequalities on a space with filtration
p. 205-206
Curves of infinite genus that are uniformizable in the sense of Schottky
p. 207-208
Critical values and the determinant of the periods
p. 209-210
The interior boundary layer in problems with conjugation
p. 211-212
Vladislav Kirillovich Dzyadyk (on his seventieth birthday)
p. 213-215
Aleksei Vasil'evich Pogorelov (on~his seventieth birthday)
p. 217-223
Sergei L'vovich Sobolev (photo)
Weak continuity and weak lower semicontinuity of nonlinear functionals
Second International conference of graduate students of Moscow State University
IX~All-Union conference on geometry
Tenth Czechoslovak-Soviet Meeting on Applications of Methods of Functional Analysis and Function Theory for Problems of Mathematical Physics

Sommaire du Fascicule no. 5

Nikolai Nikolaevich Bogolyubov (on his 80th birthday)
p. 1-10
Lyapunov indices of a product of random matrices
p. 11-71
Rearrangements of functions and embedding theorems
p. 73-117
Solution of discrete convolution equations in connection with some problems of radio engineering
p. 119-143
The theory of $n$-shapes
p. 145-174
Ivan Il'ich Danilyuk (obituary)
p. 175-183
Dmitrii Evgen'evich Men'shov (obituary)
p. 185-188
One more condition for a conditional extremum
p. 189-190
Isospectral deformations of elliptic potentials
p. 191-193
On the stability of intersections of compacta in a Euclidean space
p. 194-195
On~the Kolmogorov diameters of classes of smooth functions on a sphere
p. 196-197
The~dependence of uniform estimates of oscillating integrals on the amplitude
p. 198-200
Singular vectors, invariant operators, and discrete modules for Lie algebras of Hamiltonian vector fields $H(n)$
p. 201-202
On~the instability of duck-cycles arising during the passage of an equilibrium of a multidimensional relaxation system through the disruption manifold
p. 203-205
On~a non-coercive problem for singular integro-differential equations
p. 206-207
On~the asymptotic properties of generalized solutions of Dirichlet's problem for a polyharmonic equation in non-smooth domains
p. 208-209
Generalized Casimir elements of Abelian extensions of the Zassenhaus algebra
p. 210-211
Kauffman polynomials of non-singular configurations projective lines
p. 212-213
The distribution of values of non-principal characters in lacunary sequences
p. 214-215
Interior and boundary extremum principles for a class of elliptic systems
p. 216-217
The problem of oscillations of an elastic transversally isotopic quasicylinder
p. 218-219
On~the solubility of equations in partially ordered sets and semimetric spaces
p. 220-221
Serre cohomology of non-commutative rings and Morita equivalence
p. 222-223
Examples of Banach algebras with a radical that cannot be completed to a Banach space
p. 224-225
Nikolai Vasil'evich Govorov (on the 60th anniversary of his birth)
p. 227-230
Isaak Moiseevich Milin (on his 70th birthday)
p. 231-232
New books on mathematics

Sommaire du Fascicule no. 6

Small perturbations of chaotic dynamical systems
p. 1-33
Hydrodynamics of weakly deformed soliton lattices. Differential geometry and Hamiltonian theory
p. 35-124
Two decades of fuzzy topology: basic ideas, notions, and results
p. 125-186
On the dependence of the constant in Korn's inequality on parameters characterizing the geometry of the region
p. 187-189
Zero-dimensional and linearly ordered bicompacta: properties of homogeneity type
p. 190-191
On~the joint distribution of the fractional parts of different prime powers
p. 192-193
Remarks on the problem of residual diffusion
p. 194-195
Roland L'vovich Dobrushin (on his sixtieth birthday)
p. 197-199
Mikhail Mikhailovich Postnikov (on his 60th birthday)
p. 201-203
Meetings of the Moscow Mathematical Society
Meetings of the Leningrad Mathematical Society
Fouth Saratov Winter School ``Modern Problems of Theory of Functions and Applications''
Third All-Union Symposium on Group Theory
School-Seminar ``Group Presentations in Physics''
Symposium on Problem of Rotation of Solid
International Symposium ``Mathematics in Alternative Set Theory''
Conference ``Gakhov Reading'' in Odessa
New books on mathematics