Geodesic

Sommaire du Fascicule no. 1

On some properties of weak topology in vector structures
p. 9-11
A generalization of the Cauchy, Schwarz and Poisson integral formulas
p. 12-15
On the approximation of functions in $C^r(\Omega)$ where $\Omega$ is an arbitrary open set
p. 16-18
On the asymptotic behavior of the greatest eigenvalue of a second-order elliptic differential operator with a small parameter in the higher derivatives
p. 19-22
Interpolation problems and Cebysev approximations
p. 23-26
On estimates of the sum of a Neumann series by the Monte-Carlo method
p. 27-29
On localization of Carleman singularities on compacta of measure zero
p. 30-33
On the asymptotic behavior of solutions of differential equations in Banach space
p. 34-37
On stability of half-trajectories under area-preserving mappings of the plane
p. 38-40
Measures on topological Boolean rings
p. 41-43
Certain estimates for monotone curves in three-dimensional space
p. 44-47
An asymptotic estimate of the coefficients of an expansion in the functions of a certain system of analytic functions and its application to the interpolation polynomials in a generalized problem of moments
p. 48-50
An upper bound for the norm of the error functional for cubature formulas with a Sobolev regular boundary layer
p. 51-53
Submodel similarity and planning relations for single indirect experiments
p. 54-55
Generalization of the theory of accumulation of deviations
p. 56-58
Optimal control in hierarchical structures
p. 59-61
Surface generation of current carrier in electron-hole plasma $\theta$-pinch
p. 62-64
On collective interactions of nucleons of high-energy cosmic ray heavy nuclei
p. 65-66
Collective oscillations of a spherically symmetric system of rotating masses
p. 67-70
Crystalline structure of frolovite,
p. 78-80

Sommaire du Fascicule no. 2

Functional equations and conjugacy of local diffeomorphisms of finite smoothness class
p. 255-258
On approximation of functions in Sobolev spaces by finite functions on an arbitrary open set
p. 259-262
On the asymptotics of eigenvalues of matrices with elements of order $\operatorname{eхр}\{-V{ij}/(2\varepsilon^2)\}$
p. 263-265
Lagrange interpolation problems for analytic functions
p. 266-269
Conformal and quasi-conformal imbeddings of a certain finite Riemann surface in another
p. 270-272
On a new approach to the investigation of singular integral equations with shift
p. 273-276
On rate of growt h and on boundedness of solutions of second-order differential equations with periodic coefficients
p. 277-279
On invariant measures of minimal dynamic systems
p. 280-283
Connection between optimality and equilibrium for an infinite time interval.
p. 284-286
Existence of a set of positive measure of oscillating motions in a certain problem of dynamics
p. 287-289
Construction of an asymptotically optimal cubature formula in $\widetilde{W}_2^m(\Omega)$
p. 290-293
Simultaneous solution of several Steiner problems on a graph
p. 294-297
Machine organization of a growing search tree
p. 298-299
Calculation of explosions in media with polymorphic phase transitions
p. 300-301
Invariant solutions of the Navier--Stokes equations describing motions with a free boundary
p. 302-305
On the application of cavitation patterns to the problem of fluid flow past a bottom step
p. 306-309
Solvability of the first boundary-value problem for one-dimensional filtration of a two-phase fluid
p. 310-312
Correlation of salt concentrations at the ocean surface and in the sea atmospheric moisture
p. 322-324
Deciphering of crystalline structure of compounds with unknown chemical formula
p. 325-328
Study of the crystal face growth kinetics by the method of modelling
p. 329-332

Sommaire du Fascicule no. 3

Local limit theorems for large deviations
p. 503-506
Inequalities for moduli of continuity of functions defined on a domain and imbedding theorems
p. 507-510
An initial boundary value problem for the equation $u_t+a_x(u)=0$
p. 511-514
On the limit behavior of iteration sequences of certain quadratic transformations
p. 515-517
Branching of solutions of nonlinear mixed problems for almost linear hyperbolic systems on the plane
p. 518-521
A nonlinear differential game of evasion
p. 522-525
Classification of two-dimensional positive random walks and almost linear semimartingales
p. 526-528
On summation of polynomial Fourier series expansions of functions of the classes $L^p_{\mu(x)}$ ($p\ge1$)
p. 529-531
An entropy inequality and a criterion for the existence of statistical equilibrium
p. 532-534
The local section method for systems with refraction of trajectories
p. 535-538
On convergence of complex random functions in the $J$-topology
p. 539-540
On the covering of polyhedra by homothetic polyhedra
p. 541-544
Exact constants in inverse theorems in the theory of approximations
p. 545-547
On the reconstruction of a function defined by integrals over a family of ellipsoids
p. 548-550
On the measure of the set of the midpoints of chords of a plane continuum
p. 551-552
``Resonance'' in small oscillations of the spherical pendulum
p. 553-554
Differential geometry and Lagrangian mechanics with constraints
p. 555-557
Some conformally flat cosmological models of axial symmetry
p. 558-559
Investigation of lattice parameter change in diamond irradiated by fast electrons at different temperatures
p. 560-561
On thermodynamic limits of physical measurement accuracy
p. 562-565
An inverse kinematic problem of seismics for two-dimensional medium
p. 572-575
Some geological-geochemical consequences of Dagestan earthquake of May, 14, 1970
p. 576-579
Gravimetric map of Australia and of the seas surrounding it
p. 580-582

Sommaire du Fascicule no. 4

On free Abelian metrizable groups
p. 743-746
On the Noether conditions and a formula for the index of a class of integral operators
p. 747-750
Estimates for differential operators with constant coefficients in a halfspace
p. 751-754
Wave operators for the Schr\"odinger equation with rapidly oscillating potential
p. 755-757
Estimates of the rate of convergence of some limit theorems and statistical criteria
p. 758-760
Compactness modulo an ideal
p. 761-764
Definition of division with remainder for polynomials in several arguments
p. 765-768
On the application of Morse’s method to nonlinear elliptic equations
p. 769-771
Complex Tauberian theorems of the type of the Keldys theorem with remainder
p. 772-774
Finite ultrametric spaces
p. 775-778
On discrete subspaces of topological spaces; weight, tightness and Suslin number
p. 779-782
On the action of magnetic field on the turbulence in a shear flow
p. 783-786
On capillary-gravitational steady-state waves of finite amplitude due to the pressure periodically distributed over the surface of a flow of liquid having finite depth
p. 787-790
Self-oscillating regimes branching from Poiseuille flow in a two- dimensional channel
p. 791-794
Applicability of the Euler approach to investigate the strain stability of anisotropic nonlinearly elastic bodies under finite subcritical strains
p. 795-796
Stability loss of a rod in longitudinal impact
p. 797-799
Limit properties of Boltzmann equation solutions
p. 800-803
Electronic computer modelling of atom escapement from the surface layers of a crystal
p. 804-806
On the determination of porosity based on practical geophysics data (an experience of statistical analysis of logging diagram structures)
p. 819-822
Crystalline structure of basic $\mathrm{Na}$, $\mathrm{Zn}$-orthophosphate,
p. 823-826

Sommaire du Fascicule no. 5

On metric extensions
p. 991-994
On absolute convergence of Fourier series
p. 995-997
On a differential game with incomplete information
p. 998-1000
A singular partial differential problem with boundary conditions on a surface of singularities
p. 1001-1003
On the theory of vector fiberings over compact homogeneous spaces
p. 1004-1007
Ideal convex affine hyperspheres
p. 1008-1011
The distribution of the discrete spectrum for singular differential operators
p. 1012-1015
On the inductive dimension of the product of bicompacta
p. 1016-1019
On the solutions of a class of second order quasi-linear elliptic equations
p. 1020-1023
On jet formation in collisions of metals
p. 1024-1027
The action of acoustic pressure wave on an elastic conical shell fastened in a screen
p. 1028-1030
Generalization of the equation of motion of ground waters with free surface
p. 1031-1033
Specificities of homogeneous solutions to plane problem with semi infinite section in the moment theory of elasticity
p. 1034-1038
Shift of exciton absorption maximum and phase transition in gallium selenide under the effect of hydrostatic pressure
p. 1039-1041
On fine for structure of ESR spectra of $\mathrm{Mn}^{2+}$, $\mathrm{Fe}^{3+}$, and $\mathrm{Gd}^{3+}$ ions
p. 1042-1045
On the boundary current separation from the coast due to the bottom relief influence (linear barotropic model)
p. 1061-1064
A more exact definition of the structure of solid $\mathrm{HF}$ based on the NMR data
p. 1065-1067
Sodium zirconosilicate. Crystal structure and optical spectra
p. 1068-1070

Sommaire du Fascicule no. 6

Synthesis of optimal controls for linear nonhomogeneous systems in the problem of minimizing the mean value of a quadratic functional
p. 1247-1250
The solvability of the first boundary value problem for a sixth order differential equation of elliptic type
p. 1251-1253
Invariant decision rules in sequential analysis
p. 1254-1257
Invariant subspaces of the shift operator in certain weighted Hilbert spaces of sequences
p. 1258-1260
On parametric inequalities for functions of several variables
p. 1261-1264
A locally analytic constructive function which is not analytic
p. 1265-1267
On an upper bound for the potential of a plane electrostatic field
p. 1268-1270
On $k$-covering mappings of separable metric spaces
p. 1271-1273
A factorization theorem for nonclosed sets
p. 1274-1276
Regularity of stationary processes and factorization of operator functions
p. 1277-1279
Asymptotic behavior of the spectrum of operators defined by double Stieltjes operator integrals
p. 1280-1283
Two inclusion theorems for a method of generalized summation of $T\{\lambda_k\}$ series
p. 1284-1287
Circuits using threshold elements
p. 1288-1291
On classical model of collective motions in the O.~Bohr--Mottelson theory
p. 1292-1295
The effect of radiation on isothermal jump amplitude
p. 1296-1299
On the criteria of high seismicity
p. 1317-1320
A new type of Baumhauer's twins in crystals of landauite
p. 1321-1323
Crystalline structure of thalenite,
p. 1324-1327
Поправки к статье ``Выпуклые функции потерь в теории несмещенного оценивания'' (ДАН, т.~198, \No~3, 1971~г.)