Geodesic

Sommaire du Fascicule no. 1

Decree of the Praesidium of the Supreme Soviet of the USSR on the award of the order of Lenin to the corresponding member of the USSR Academy of Sciences I.~M.~Gel'fand
Izrail' Moiseevich Gel'fand (on the occasion of his sixtieth birthday)
p. 3-5
The work of I.\,M.~Gel'fand on functional analysis, algebra and topology
p. 5-35
The work of I.\,M.~Gel'fand in applied and computational matematics
p. 36-44
The work of I.\,M.~Gel'fand in biology
p. 45-53
List of the published works of I.\,M.~Gel'fand
p. 53-61
An elementary exposition of G\"odel's incompleteness theorem
p. 63-106
Arithmetic properties of discrete subgroups
p. 107-156
Vladimir Ivanovich Sobolev (on his sixtieth birthday)
p. 157-160
Stability of $C^\infty$ mappings. V. Transversality
Stability of $C^\infty$ mappings. VI. The nice dimensions
Meetings of the Moscow Mathematical Society
A study of the phase transition of the second kind in Dyson's asymptotic hierarchical models
A corollary of a certain theorem of Browder
Energy estimates and Cauchy problems for differential operators with variable coefficients in spaces of functions with exponential asymptotic behavior
Chain semigroup ring
A theorem on the existence of a~solution of the Dirichlet problem for a~certain class of quasilinear elliptic equations in unbounded domains
Representation of braids by permutations
Positive holomorphic vector bundles
Euler products for the full linear and symplectic groups
On characteristic subgroups of free groups
Exponential mixing in $C$-systems
Primitivity of a~free associative algebra with a~finite number of generators
The solvability and hypoellipticity of differential equations
The canonical operator of V.~Maslov in a~complex situation
A fixed point principle and its application in the theory of operators in topological linear spaces
Algebraic similarities of homeomorphisms of abstract dynamical systems
Seminar on Discrete Mathematics (Odessa)
New books on mathematics

Sommaire du Fascicule no. 2

Ivan Georgievich Petrovskii
p. 1-5
I.\,G.~Petrovskii and the University of Moscow
p. 6-9
Normal forms of functions in neighbourhoods of degenerate critical points
p. 10-50
On free-boundary problems associated with the flow of a~liquid through porous materi
p. 51-71
Cauchy problems with multiple characteristics in spaces of regular distributions
p. 72-78
On certain questions related to optimal control
p. 79-87
On moduli of Kleinian groups
p. 88-102
Solutions with compact support of variational inequalities
p. 103-108
Asymptotic properties of Leray's solution of the stationary two-dimensional Navier--Stokes equations
p. 109-123
Analytic first integrals of non-linear parabolic systems of differential equations in the sense of Petrovskii, and applications
p. 124-157
Fundamental solutions and lacunae of quasihyperbolic equations
p. 158-169
Functions whose gradient is bounded by the reciprocal distance from the boundary of their domain
p. 170-175
Equations of principal type witgout solution
p. 176-194
Generalized analyticity and some related properties of solutions of elliptic and parabolic equations
p. 195-212
The linear analytic cauchy problem with singular initial data (after hamada and wagschal); partial hyperbolicity
p. 213-222
On Kowalewskian systems
p. 223-235
A~lemma on hyperbolic fixed points of diffeomorphisms
p. 236-241
A~decay theorem for maxwell's equations
p. 242-250
On a~question of Hans Lewy
p. 251-262
On the local solubility of linear partial differential equations
p. 263-292
Functional approach to turbulence
p. 293-326
The stability of the solutions of non-linear hyperbolic equations on a~manifold
p. 327-335
Ivan Georgievich Petrovskii (photo)

Sommaire du Fascicule no. 3

Decree of Presidium of Supreme Soviet of the USSR on the award of the Order of Lenin to the Academy of Sciences of the USSR
250 years of the Academy of Sciences of the USSR
p. 3-6
On extremal problems in the theory of best approximation
p. 7-43
Euler products corresponding to Siegel modular froms of genus~2
p. 45-116
The method of diagrams in perturbation theory
p. 117-168
Diameters of sets in normed linear spaces and the approximation of functions by trigonometric polynomials
p. 169-186
Meetings of the Moscow Mathematical Society
The $\omega$-determinacy of germs of mappings with respect to a~given group
Rings over which every module is endoprojective
Hamiltonian formalism in the general Lagrange problem
A new model for the representations of finite semisimple algebraic groups
The general problem of integral geometry on the torus
A study of a~certain class of equations of neutral type by the phase plane method
Series that are connected with stationary sequences
Convex rays in $R^n$
The structure of the class of graphs with a~given cyclomatic matrix
Properties of open manifolds that are connected with the behavior of the fundamental group at infinity
The $\lambda$-purity of modules
On the theory of selfadjoint holomorphic operator-valued functions
Filtered Lie algebras of Cartan type
Some theorems on small random perturbations of dynamical systems
Multivectors of rank~2
Spectra of graded-commutative rings
Certain radicals of linear Lie algebras
Estimates of the solutions of abstract parabolic equations
Invariance of higher $K$-functors on classes of Clifford algebras
A certain class of inhomogeneous equations of convolution type
Nonabelian cohomology and finiteness theorems for integer orbits of semisimple group schemes
Conditions for the analyticity of all solutions of a~second order linear equation
On adaptive scheme of global search
The minimization of nonlinear functionals in normed spaces
The construction of the solution of the nonstationary system of Prandtl equations by the finite difference method
The smooth theory of the canonical Maslov operator on a~complex Lagrangian germ
The system of equations for a~boundary layer with a~surface of discontinuity
The Dirichlet problem for a~nonlinear equation in a~domain with a~deleted point
The $t\to 0$ asymptotic regime of the Green's function of the Cauchy problem for the parabolic Sobolev problem
The extension of a non-Wiener quasi-measure to a~complex measure on nonsmooth functionals
The lattice of ideals of local rings of finite-to-one mappings of spaces of the same dimension is self-dual
An a priori estimate of the decrease of decreasing solutions of nonlinear systems
Sessions of the Petrovskii Seminar on Differential Equations and Mathematical Problems of Physics
Twelfth All-Union Algebraic Colloquium
All-Union Symposium on Embedding Theorems and Their Applications
V Far-Eastern Summer Mathematical School
New books on mathematics

Sommaire du Fascicule no. 4

The topology of real projective algebraic varieties
p. 1-79
On the polynomials of I.\,N.~Bernstein
p. 81-88
On the filtration of a~fluid through a~porous medium with variable
p. 89-102
Interior transition layers for elliptic boundary value problems with a~small parameter
p. 103-131
Capillarity phenomena
p. 133-153
Lyudmila Vsevolodovna Keldysh (on the occasion of her seventieth birthday)
p. 155-161
Lev Arkad'evich Kaluzhin (on the occasion of his sixtieth birthday)
p. 163-168
Meetings of the Moscow Mathematical Society
Associated structures
Local approximations and differentiability of functions of several variables
The stability of birational morphisms
A~generalized It\^o formula for an extended stochastic integral with respect to Poisson random measure
The optimal transmission of a~Gaussian vector over a~channel with noiseless feedback
A~test for the stability of the solutions of singularly perturbed second order equations with periodic coefficients
Small random perturbations of diffeomorphisms
Estimates of the curvature of a~Bergman metric that is invariant under biholomorphic mappings
The symbols of one-parameter semigroups~$e^{tA}$ as $t\to 0$
Locally compact modules
The matrix elements of irreducible unitary representations of the group~$M(n)$ of motions of $n$-dimensional Euclidean space
Certain complete spaces of smooth mappings of pseudotopological linear spaces
The existence of resolvent distributions of dimension $n-r-1$ for not completely integrable Pfaffian system of rank~$r$ in~$R^n$
The reducibility of $n$-quasigroups
Derivation algebras of certain nilpotent Lie~algebras
Third Tiraspol Symposium on General Topology and its Applications
Third All-Union Conference on Qualitative Theory of Differential Equations and its Applications
All-Union Symposium on Statistics for Random Processes
New books on mathematics

Sommaire du Fascicule no. 5

Necessary conditions for the Cauchy problem for non-strictly hyperbolic equations to be well-posed
p. 1-70
The problem of discriminating algorithmically the standard three-dimensional sphere
p. 71-172
Nikolai Nikolaevich Luzin
p. 173-178
The ideas of N.\,N.~Luzin in descriptive set theory
p. 179-193
Nicolai Nicolaevich Luzin (on the ninetieth anniversary of his birth)
p. 195-208
Zaid Ismailovich Khalilov (obituary)
p. 209-212
The foundations of set theory
Nikolai Nikolaevich Luzin (photo)
Spatially homogeneous continuous Markov processes on abelian groups, and harmonic structures
Uniform classification of motions in Euclidean and Lobachevskian spaces
Positive matrix-valued cocycles over dynamical systems
Irreducible holomorphic separable polynomials on bouquets of circular annuli
The completeness of the system of eigen- and associated functions of an elliptic operator in~$R^n$
Euler cohomology classes, and homotopic approximation
A property of modular functions that are constructed by means of the discriminant
The lifting of vector-valued functions
The uniqueness of the solution of the Cauchy problem for general parabolic systems in classes of rapidly increasing functions
Asymptotic solutions of $(1/h)$-pseudodifferential equations with canonically represented right hand sides
The local solvability of pseudodifferential equations wtih double characteristics
Differential equations for the matrix elements of irreducible unitary representations of the rotation groups of $n$-dimensional Euclidean and pseudo-Euclidean spaces
Transformations of orthonormal convergence systems and bases
On the problem of measures on a~uniform space
Sufficient conditions for the existence of the G\^ateaux--L\'evy means
Linear approximations of a~certain class of random processes
The extension of resolving distributions of Pfaffian systems
The global homological dimension of general rings of differential operators
Meetings of the Leningrad Mathematical Society
Seventh Winter School-Symposium on Mathematical Programming and Related Questions
New books on mathematics
On periodicals of Kiev State University
World Directory of Mathematicians

Sommaire du Fascicule no. 6

Free modular lattices and their representations
p. 1-56
The geometry of moduli of vector bundles
p. 57-88
Hypergraphs
p. 89-156
On Enflo's method of construction of Banach spaces without the approximation property
p. 157-170
Andrei Andreevich Markov (on his seventieth birthday)
p. 171-175
Function algebras of finite type
Topological entropy, and complexity in the sense of A.\,N.~Kolmogorov
Free products in varieties of groups
A certain generalization of the Hopf--Rinow theorem on geodesics
The topological equivalence of one-dimensional basic sets of diffeomorphisms on two-dimensional manifolds
The Prym variety of an unramified double covering of a~hyperelliptic curve
An example of a~primitive group algebra
Extensions of universal algebras
Homogeneous Lie elements, and varieties of nilpotent groups
Functions meromorphic in the unit disc with a~prescribed growth of the spherical derivative
A local $L_p$-principle in the factorization problem
An invariant test for the stability of a~mixed boundary value difference problem
The spectrum of contractions that depend analytically on a~parameter
Ergodic properties of eigenfunctions
The approximation of additive functionals
Two-dimensional Abelian varieties that have indefinite quaternions as endomorphism algebra
Sessions of the Petrovskii Seminar on Differential Equations and Mathematical Problems of Physics