Geodesic

Sommaire du Fascicule no. 1

A theorem on the representation of a homeomorphism modulo sets of the first category
p. 9-12
The best rational approximations of convex functions and functions of finite variation
p. 13-14
The existence of lacunary systems in Banach spaces
p. 15-18
A correlation between topological entropy and metric entropy
p. 19-22
The complexity of the enumeration and solvability of predicates
p. 23-26
Random subsets of the vertices of an $n$-dimensional cube
p. 27-30
Nonlinear equations of Hammerstein type with a monotone operator
p. 31-33
An operator-hysterant
p. 34-37
The stabilization of the solution of the Cauchy problem for the heat equation
p. 38-41
Cubature formulae in $L_2^{(m)}(\Omega)$
p. 42-44
Some simple examples of universal functions
p. 45-46
The smoothness of a function of three variables of bounded variation
p. 47-50
Classes of conjugate subgroups in topological groups
p. 51-53
The conformal equivalence of the Carleman boundary value problem to the Riemann boundary value problem on an open contour
p. 54-56
A normally solvable equation of smooth transition
p. 57-60
Integration of boundary layer equations with the aid of successive approximations
p. 61-64
A universal law of turbulent heat- and mass-transfer from the wall for high Reynolds and Peclet numbers
p. 65-68
On the impossibility of crystalline ordering in one- and two-dimensional classical systems
p. 69-72
Space distribution anisotropy of ions scattered by a single crystal
p. 73-76
A new method for determining the rate of dislocation motion in ionic crystals
p. 77-79
Radial stability of a cylindrical conductor in the field of a moving magnetic wave
p. 80-82
On some specificities of Faraday's effect in strongly alloyed semiconductors
p. 83-85
Electric characteristics of the rock-ice systems
p. 88-90
Crystalline structure of $\mathrm{Na}$-titanogermanate $\mathrm{Na}_2(\mathrm{TiO})[\mathrm{GeO}_4]$
p. 91-93

Sommaire du Fascicule no. 2

Elliptic boundary value problems that are degenerate on a submanifold of the boundary
p. 255-258
On the uniqueness of the solution of the Tricomi problem for a certain class of nonlinear equations
p. 259-262
The order of the degree of precision of Chebyshev’s quadrature formula
p. 263-265
An oscillator on an elasto-plastic element
p. 266-268
Upper bounds of best approximations on classes of differentiable periodic functions in the metrics~$C$ and $L$
p. 269-271
Certain two-dimensional integral equations with homogeneous kernels
p. 272-275
Certain properties of plane and spatial mappings
p. 276-279
Strongly symmetric families
p. 280-282
The existence of fundamental domains of a finitely generated Klein group
p. 283-284
The application of the maximal likelihood method to the processing of random Gaussian processes
p. 285-288
The boundedness of pseudodifferential operators in weight spaces
p. 289-292
Many-valued mappings and certain related questions
p. 293-296
On the solution of contact type problems of the linear theory of visco-elasticity
p. 297-300
Spectroscopic manifestations of phase transitions in crystalline cyclopentane
p. 301-304
Sample-modelling of Sun's gravitational field
p. 305-308
Spherical wave of scalar planckeon
p. 309-312
The similarity theory for the large-scale motions of planetary atmospheres
p. 323-326
Some results of visual observations and spectrophotometering of terrestrial atmospheres dusk halo, made from ``Soyuz-5'' spaceship
p. 327-330
The atmospheric aerosol structure, as defined by the method of spectral transparency
p. 331-333
Crystalline structure of $\mathrm{Na}$, $\mathrm{Zr}$-oxyorthosilicate $\mathrm{Na}_2\mathrm{ZrSiO}_5=\mathrm{Na}_2\mathrm{O}\cdot\mathrm{Zr}[\mathrm{SiO}_4]$
p. 334-337

Sommaire du Fascicule no. 3

On sufficient conditions for the univalence of the solutions of inverse boundary value problems
p. 495-498
Infinite irreducible systems of group identities
p. 499-501
Mappings of families of sets
p. 502-505
The stability of periodic motions in the transcendental case of two pure imaginary characteristic exponents
p. 506-509
The triangular representation of operators that are close to unitary ones and the multiplicative expansion of their characteristic functions
p. 510-513
The smoothness of weak solutions for a certain elliptic equation that degenerates on the boundary
p. 514-516
Sums of characters with prime numbers
p. 517-518
Certain reduction theorems for higher order logic
p. 519-522
On the structure of differential games
p. 523-526
Certain questions of ``global'' regularization
p. 527-530
A certain integral equation of the theory of generalized analytic functions in the singular case
p. 531-534
On computing the rotation of finite-dimensional vector fields
p. 535-537
On some quantitative characteristics of algorithmic languages
p. 538-540
The convergence of a sequence of linear continuous mappings of analytic spaces
p. 541-544
Reflected one-dimensional rarefaction wave in the constant gravity field
p. 545-548
A complete system of solutions in the theory of shallow shells
p. 549-551
Investigation of the composition of Venus atmosphere at automatic space probes ``Venus-5'' and ``Venus-6''
p. 552-554
Pinch effect in semiconductors under conditions of highly degenerated electron-hole plasma
p. 555-557
Thermooptical characteristics of neodymium-activated glasses
p. 558-561
Determination of electron affinity of antimony and bismuth atoms by the surface ionization method applicable to the elements with complex vapour composition
p. 562-564
A method of solving Cauchy problem for linearized Boltzmann
p. 565-568
X-Ray method for determination of the spacing between heavy atoms in macromolecules in solution, and its application
p. 574-577

Sommaire du Fascicule no. 4

The index of a pseudodifferential operator with a finite group of shifts
p. 751-752
Spaces that can be defined by variation of local approximations
p. 753-755
The partial orderability of rings and algebras
p. 756-759
A certain problem of optimal stabilization
p. 760-762
Decomposition of a tensor product of irreducible maximally degenerate representations of the group of complex matrices of order $n$ with determinant~$1$
p. 763-766
Proof of Fermat’s last theorem for all prime exponents less than 5500
p. 767-768
Group algebras of analytic functionals, and their representations
p. 769-771
Quasianalyticity criterion for abstract operators
p. 772-774
The covering of $A$-sets, and multiple separability
p. 775-776
Construction of a correct guiding function for a system of differential equations
p. 777-779
Spectral synthesis for the shift operator, and zeros in certain classes of analytic functions that are smooth up to the boundary
p. 780-783
Theorems on traces and extensions of functions from surfaces
p. 784-787
Symmetric domains and Jordan algebras
p. 788-791
Certain cases of the realization of elements of homotopy groups of homogeneous spaces by totally geodesic spheres
p. 792-795
The method of limit transformations in the problem of the existence of Poisson stable solutions of differential equations
p. 796-799
Method of solving certain boundary-value problems of the stability theory of cylindrical shells
p. 800-802
Evaluation of the structure of solar corona from the rocket experiment made on February 15, 1961
p. 803-804
Invariance groups and differentiation in the matrix space theory
p. 805-808
Carbon dioxide laser in the regime of single impulses
p. 809-812
Ultrasonic oscillations of radiation intensity of ``moving medium'' lasers
p. 813-814
Some non-stationary problems of finite-amplitude wave theory in dissipative mediums
p. 815-818
Generalization of Hartree--Fock's method for the case of nonperfect Bose gas
p. 819-822
Indicatrices of light scattering by sea water
p. 827-830
Crystalline structure of the $\mathrm{Y}=\mathrm{Ca}_6[\mathrm{Si}_2\mathrm{O}_7][\mathrm{SiO}_4](\mathrm{OH})_2$ phase
p. 831-834
The relation between the shape of crystals and thermodynamic conditions during their growth
p. 835-838

Sommaire du Fascicule no. 5

The rate of approximation of a continuous $2\pi$-periodic function by partial sums of its Fourier series
p. 1015-1018
Several new probabilistic inequalities connected with the L\'evy metric
p. 1019-1021
The homotopy invariance of rational Pontrjagin numbers
p. 1022-1025
The uniqueness of the solution of the Cauchy problem for linear evolutionary systems with variable coefficients
p. 1026-1029
Quasisymmetric conformally Euclidean spaces, and a mathematical model of the space-time continuum in the large
p. 1030-1033
Codings of finite sets, and a completeness criterion to within the accuracy of the coding in three-valued logic
p. 1034-1037
The cluster sets of functions that are harmonic inside a sphere
p. 1038-1039
Groups of $CS$ type
p. 1040-1043
The qualitative study of stability in the large and instability for a certain class of amplitude-impulse systems
p. 1044-1047
Deciphering of sequential networks in the absence of an upper limit on the number of states
p. 1048-1051
The effect of solid particle or drop addition on the structure of a turbulent gas jet
p. 1052-1055
The features of resonance absorption in copper chloride dihydrate in an inclined magnetic field
p. 1056-1058
A possible influence of gas content in metals on the zone of laser beam action
p. 1059-1062
The influence of Forbush effects on the state of cosmic ray layer in lower ionosphere
p. 1063-1065
On gravitational fields homogeneous in space
p. 1066-1069
On integral conservation laws in the general relativity theory
p. 1070-1073
On gravitational collapse of a slightly non-spherical mass
p. 1074-1077
Scattering of sound on spin waves
p. 1078-1079
Time dependence of the generation power of organic dyes
p. 1080-1083
Asymptotic properties of Green's functions for non-perfect Bose gas
p. 1084-1087
About a regularity in orientation of the outbursts of the directional explosions of volcanoes
p. 1092-1094
On the relation between the force of deformation and the movements of atmospheric centres of action
p. 1095-1097
Crystalline structure of landauite
p. 1098-1100

Sommaire du Fascicule no. 6

mean value formula for the fundamental functions of the Beltrami operator, and a precise estimate of the sum of the squares of the fundamental functions
p. 1263-1266
Cohomologies of the Lie algebra of smooth vector fields
p. 1267-1270
Nonabelian $CL$-groups
p. 1271-1273
Classification and characteristic properties of Carleman operators
p. 1274-1277
The approximation of functions satisfying a Lipschitz condition by algebraic polynomials
p. 1278-1281
A certain compactification of noncompact symmetric Riemannian spaces
p. 1282-1285
$L(1,\chi)$ with real Dirichlet character on sparse sets of values of the modulus of the character
p. 1286-1288
The existence of a value of a pursuit game
p. 1289-1291
Estimate of the closeness of statistical characteristics of one class of nonstationary linear automatic control systems
p. 1292-1295
A self-similar problem of the dynamic theory of elasticity for a crack with a point source
p. 1296-1299
Integral representations of solutions in shallow shell theory
p. 1300-1302
On the temperature of exospheres of the Earth, Mercury, Venus, Mars and of the solar corona
p. 1303-1304
About one integral of differential equation of the induction of magnetic field for a flow of dissipative plasma
p. 1305-1307
Nucleonic composition and excitation energy of the nuclei undergoing fission in the irradiation of
p. 1308-1311
On the use of Faddeev equations and the calculation of the electron scattering length on hydrogen
p. 1312-1314
Non-linear light scattering on small particles
p. 1315-1317
The kinetic equation with non-lagrangian forces
p. 1318-1321
On the structure of liquid nickel and iron
p. 1322-1324
The \textit{PP} wave generated in nuclear explosion, and decay of longitudinal waves in the upper mantle
p. 1340-1343
Поправки к статье ``О вращении многозначных векторных полей'' (ДАН, 187, \No~5, 1969~г.)