Geodesic

Sommaire du Fascicule no. 1

Zonal spherical functions and Laplace operators on some symmetric spaces
p. 9-12
Homotopical classification of vector fields
p. 13-16
Some properties of Chebyshev sets
p. 17-19
Asymptotic solution of Thomas--Fermi equation
p. 20-21
On the oscillation of solutions of linear differential equations of the third and fourth order
p. 22-24
Asymptotic representation of solutions of second order linear differential equations
p. 25-28
Convergence of Fourier series in systems of type $\{\varphi(nx)\}$ close to a trigonometric system
p. 29-32
On the problem of the axial bending of a rod of variable rigidity
p. 33-34
Imbedding theorems for functions with partial derivatives, considered in different metrics
p. 35-37
The Tricomi problem for the general equation of Lavrentiev--Bitzadze
p. 38-41
The behaviour of cycles not homologous to zero when a $n$-dimensional manifold is mapped into
p. 42-44
On the inverse problem of the potential theory
p. 45-46
Investigation of the longitudinal and transverse galvanomagnetic effect in $n$-type germanium single crystals
p. 47-50
On the magnetic scattering of thermal neutrons near the Curie point of a ferromagnetic or antiferromagnetic
p. 51-54
The scattering of sound waves in non-regular wave guides
p. 55-58
$\tau'$-Meson decay with the formation of an electron-positron pair
p. 59-60
The use of Zubarev's method of added variables in the statistical physics
p. 61-64
On the spin of the $\tau$-meson
p. 65-68
Spontaneous division of $\mathrm{Th}^{232}$ and the stability of nucleons
p. 69-71
New data on the orientation of birefringence in a flow of polymer solutions
p. 72-74
The dynamical characteristics of electric circuit elements
p. 80-83
The crystalline structure of astrakhanite
p. 84-87
Investigation of a metallic compound formed in iron -- titanium alloys
p. 89-91
Dimerization of butyraldehyde at superhigh pressures
p. 92-95
The alkylation of diphenyl by pseudobutylene in the presence of $\mathrm{BF}_3\cdot\mathrm{H}_3\mathrm{PO}_4$
p. 96-98
The use of the isotopic method in studying the stereochemistry of replacement reactions of an olefine carbon atom
p. 99-102
A polarographic study of trivalent antimony complexes in sodium fluoride solutions
p. 103-106
A study of the isotopic exchange of oxygen between heavy-oxygen water and some niobates and tantalates
p. 107-109
The chemical composition of the Makhach-Kala oil
p. 110-113
Diacetylene chlorination. The synthesis of hexachlorobutadiene-1,3
p. 114-116
Electron diffraction study of the chloroprene molecule
p. 117-120
The influence of the association of organic acids on their adsorption from non-polar solvents
p. 121-124
Interaction between ozone and methyl hydroperoxide
p. 125-127
The use of the isotopic method in studying the mechanism of electrolytic formation and decomposition
p. 128-131

Sommaire du Fascicule no. 2

A method for counting integral points in $n$-dimensional polyhedrons
p. 215-218
The matrix elements of irreducible unitary representations of a group of Lobachevsky space motions and the
p. 219-222
Groups with finite classes of conjugate Abelian subgroups
p. 223-224
Boundary properties of differentiable and harmonic functions in regions containing salient points
p. 225-227
On the reduction principle
p. 228-230
Estimation of rational trigonometrical sums
p. 231-232
Differential equation with abstract elliptical operator in Hilbert space
p. 233-236
About a property of sets effectively different from all $\Phi$-sets
p. 237-238
Certain problems involved in the approximation of functions of one variable by algebraic polynomials
p. 239-242
S.\,L.~Sobolev's spaces of fractional order and their application to boundary problems for partial differential equations
p. 243-246
On the best approximation of classes of functions representable in the convolution form
p. 247-250
Form relations having added possibilities for transformation of charts with oriented transparent sheet
p. 251-254
The statistical foundation of the equations of the flow through porous media
p. 255-258
On the general problem in the theory of slowing down neutrons
p. 259-262
New mechanism of relativistic electron production in the cosmic space
p. 263-265
The use of electron microscope shadow method for studying the potential distribution in $n$--$p$-transitions
p. 266-268
On the anisotropy of ferromagnetic single crystals
p. 269-272
Photoelectrets and the formation of a latent electro-photographic image
p. 273-276
The nature of unhomogeneous plastic flow of metal single crystals
p. 277-279
Thallium bichromate investigation and use in quantitative analysis
p. 289-292
The production of ethanol from carbon dioxide and hydrogen
p. 293-296
Direct synthesis of 4-substituted salts of 1-azadehydroquinolysinium
p. 297-298
Reduction of mono-olefins by sodium in liquid ammonia in the presence of tertiary butyl alcohol
p. 299-301
A new method for the synthesis of indoles substituted in the benzene ring
p. 302-305
The synthesis of mono- and dihydroperoxides of $p$-diisopropylbenzene
p. 306-308
A specific and highly sensitive fluorescence reaction for aluminium
p. 309-311
On the free energy, heat and entropy of adsorption displacement of alcohols by water from the surface of an oxide catalyst
p. 312-314
Isotopic exchange between gaseous hydrogen and solid polymers under the action of nuclear radiation
p. 315-316
Adsorption from three-component solutions
p. 317-320
The influence of acid admixtures on the kinetics of the acylation of an aromatic amine in an inert solvent
p. 321-324
On the electron microscope study of objects in a gas medium
p. 325-327

Sommaire du Fascicule no. 3

Oscillation theorems for differential equations of higher orders and the spectrum of the respective differential operators
p. 423-426
Programming of arithmetical operators
p. 427-430
On zeros of the $\zeta(s)$ function
p. 431-432
The convergence of the straight line method in the various schemes of its application to the solution of some boundary problems
p. 433-435
On perfect compact nuclei of sets, effectively different from all $\Phi$-sets
p. 436-438
Groups and invariant-group solutions of differential equations
p. 439-442
On the theory of fractional differentiation and integration of periodic functions belonging to an $L_p$ class with $p>1$
p. 443-446
Boundedness tests for solutions of linear differential equations with variable lag of argument
p. 447-449
On the expansion of regularly monotonic functions into Goncharov series
p. 450-453
On the $\lambda$-stability of solutions of operator equations in Banach space
p. 454-457
Reflection and refraction of an elastic wave of arbitrary shape by a curved interface between two media
p. 458-460
Thermal emission of electrons from carbon particles
p. 461-463
Critical current for superconducting films
p. 464-467
A two-dimensional linear problem of generalized hydrodynamics
p. 468-471
The development of sea waves from their initiation to the phase of maximum steepness
p. 472-475
Composition and subdivision of non-primitive circuits
p. 488-491
An investigation of oxalate and carbonate complexes of plutonium (IV) in water solutions by the solubility method
p. 493-496
The condensation of alkyl benzenes with halogen derivatives of isobutylene
p. 497-500
The effect of the $\mathrm{R}$ value of alkyl radicals upon the $\mathrm{Si}$ -- $\mathrm{R}$
p. 501-504
Telomerization of methacrylic acid with trialkyl phosphites
p. 505-508
Catalytic production of 2,3-dimethylbutadiene
p. 509-511
Intramolecular acylation in the ferrocene series. The cyclization of $\gamma$-ferrocenyl
p. 512-514
On rhenium borides
p. 515-516
The addition of dialkyl(phenyl)silanes to ethylene hydrocarbons
p. 517-519
Vinylcompounds in the diene-synthesis. On the diene-synthese of thiovinylether with cyclopentadiene
p. 520-522
Catalysis on intrinsic semiconductors
p. 523-525
An investigation of the phase composition and adsorptive properties of the iron-carbon catalyst
p. 526-529
The ionization kinetics of molecular chlorine
p. 530-533
Поправки к~статье ``Метод распределения удельной поверхности по адсорбции газов в~мономолекулярной области''

Sommaire du Fascicule no. 4

On the $\zeta(s)$ function
Condensation points of the set of Markoff numbers
p. 632-635
Boundary properties of harmonic functions in three-dimensional space
p. 636-638
Polynomial operations in certain spaces
p. 639-641
Estimations of the convergence region of periodical series representing solutions of differential equations involving a small parameter
p. 642-645
The synthesis of logical nets whose operators are described in terms of one-place predicate calculus
p. 646-649
Investigation of a functional analogue of a Lichtenstein nonlinear integral equation
p. 650-653
Sets of non-special semigroups and $p$-nilpotency of finite groups
p. 654-656
On limit logics
p. 657-660
Determination of head wave intensity by the method of rays in the theory of elasticity
p. 661-664
Relation between stresses and strains in non-elastic media
p. 665-668
Automodel problems concerned with the dynamic bending of plates
p. 669-670
Asymptotic properties of self-preserving solutions of equations of unsteady motion of gas through porous media
p. 671-674
Relaxation processes in the system of interacting spins
p. 675-678
Processes involved in the production of heavy mesons and hyperons as considered on the basis of the dispersion relations
p. 679-682
The electroacustic efficiency of spark discharge in water
p. 683-686
A technique of short-range forecasting of meteorological elements
p. 687-690
The distribution of dust and smoke particles according to their size in a modern industrial town
p. 691-693
The action of carbon dioxide on aluminium trialkyls. The synthesis of carboxylic acids
p. 713-715
The condensation of acetals with ethoxyisoprene. A new method for synthesizing polyene aldehydes of
p. 716-719
The recrystallization diagram of tantalum
p. 720-722
Production of silicon defines from chlorhydrins
p. 723-726
The isotopic exchange of carbon dioxide chemsorbed on an iron catalyst in the synthesis of ammonia
p. 727-730
The production and properties of phenyl-, 3,4-xylyl- and 4-isopropylphenylalkylsilanes
p. 731-734
Chemically unhomogeneous structure of sodiumborosilicate glass
p. 735-737
The influence of oxygen on the paramagnetic resonance absorption in $\alpha\alpha$-diphenyl-$\beta$-picrylhydrazyl
p. 738-739
Determination of the reaction order from the acidity
p. 740-743
The action of triethanolamine on photographic emulsions
p. 744-746
The trend of contact oxidation reaction on semiconducting catalysts (benzene oxidation serving as an example)
p. 747-750
Capillary contraction in films of gels and porous dispersed substances while in progress of drying
p. 751-754
On the coefficient of diffusion in liquids
p. 755-759
On the interaction between anions and water molecules in solution
p. 760-762
The influence of substituents on the properties of molecules of benzene para-diderivatives
p. 763-766
Поправки к~статье ``Адсорбция воды на кварце, дробленном в~вакууме'' (ДАН, т.~115, \No~5, 1957~г.)

Sommaire du Fascicule no. 5

Free numerical semigroups with power densities
p. 855-857
Straight line method for solving a non-linear boundary problem in a region bounded by a curve
p. 858-861
Rational approximations to irrational numbers with bounded partial quotients
p. 862-865
Convolution type of integro-differential equation
p. 866-869
Chebyshev approximation in a Hilbert ring
p. 870-872
Cauchy problem for simultaneous linear partial differential equations with analytic coefficients
p. 873-875
A method of solving integral equations
p. 876-878
Analytical continuation of power series and Faber polynomials
p. 879-881
Propagation of limit equilibrium in the axially-symmetrical twodimensional elastic-loose body case
p. 882-883
Radio interference phenomena due to the ionosphere of the Moon
p. 884-887
Long period luno-solar tide in World Ocean
p. 888-890
The formation of the gaseous tail in comets
p. 891-894
Miln's problem with an arbitrary indicatrix
p. 895-898
Investigation of extensive air showers of ccsmic radiation
p. 899-902
On the theory of virial expansions for non-ideal gases
p. 903-906
On the theory of spectral line broadening in a plasma
p. 907-910
A remarque on dispersion relations for pion scattering on nucleons
p. 911-912
Radiation of plasma in magnetic field
p. 913-916
Inversion of non-planar circuits
p. 928-929
On the thermodynamics isobutylene hydrochlorination
p. 931-934
Thermal androentgenophasic analysis of the $\mathrm{CsF}$--$\mathrm{BeF}_2$ system and its interrelations with
p. 935-937
The synthesis of aromatic hydrocarbons. A new method of synthesizing hydrocarbons of the fluorene series
p. 938-941
Stereoisomeric 1-methyl-2-alkylcyclohexanes
p. 942-945
Interaction between separated atomic groups through a system of two benzene nuclei connected by a bridge
p. 946-949
Production of aromatic hydrocarbons by catalytic treatment of thermal cracking gasoline in the presence of light oil
p. 950-953
Addition of nitroalkanes to benzalacetone
p. 954-956
The synthesis of $p$-trialkylsilylsterenes and $p$-trialkylsilylalkylsterenes
p. 957-959
Reactions involving exchange of radicals in the presence of $\mathrm{AlCl}_3$
p. 960-963
Catalytic cracking of some non-symmetric diarylethanes
p. 964-966
Dipole moments of esters of isomeric cyclohexane-1,2-dicarboxylic acids
p. 967-969
The production of alkylated hydroperoxides of the 1,1-diphenylethane series by the use of chromatographic
p. 970-972
Electronodiffraction study of lithium oxide
p. 973-976
Chromium vapour pressure over solid chromium iron alloys
p. 977-979
The influence of an external electric field on the adsorptive ability of a semiconductor
p. 980-982
Formaldehyde yields on methane oxidation, as dependent upon the homogeneous initiator concentration, inert gas
p. 983-986
The influence of tribenzylamine on the persulphate anion reduction
p. 987-990
Certain features in the radiation decomposition of polymeres
p. 991-993
The influence of the deformation rate on reduction rate of aluminium naphthenate gel and the method
p. 994-997
Поправки к~статье ``О~возможности применения трития для радиографического

Sommaire du Fascicule no. 6

Construction of tensor forces from scattering data
p. 1055-1058
On boundary value problem for linear elliptic systems in the plane
p. 1059-1062
A test for the existence of certain classes of solutions of a non-linear differential equation and some estimates
p. 1063-1065
A difference method for the solution of Poisson equation with axial symmetry
p. 1066-1069
Three-dimensional space with a cubic semimetric
p. 1070-1073
On a local nilpotent of Lie rings that satisfy Engel's condition
p. 1074-1077
Representation of large numbers by positive ternary quadratic forms of odd relatively prime invariants
p. 1078-1080
A new space of closed sets and many-valued mappings of bicompacts
p. 1081-1084
Cubical resolvents
p. 1085-1087
Refined methods and two-sided approximations to a solution of parabolic equations
p. 1088-1090
A radioimage of the sun on 3,2-cm wave length
p. 1091-1093
A ``lunar'' radiointerferometer
p. 1094-1097
Inversion formula for Zommerfeld integral
p. 1099-1102
Masses of lead isotopes
p. 1103-1104
Crystal deformation capacity criterion and adsorption effects
p. 1105-1108
On the structure of the diurnal course of magnetic activity
p. 1109-1112
Production of methyl halogen derivatives of aluminium by a diazoaliphatic technique
p. 1121-1123
The production of infusible and yet soluble polymers
p. 1124-1127
Alkylation of naphthalene, $\beta$-methylnaphthalene and tetraline by acetylene
p. 1128-1130
X-Ray study of naphthazarine
p. 1131-1133
Electrondiffraction study of the structure of beryllium halide molecules
p. 1134-1137
Formaldehyde and acetaldehyde yields on high temperature oxidation of ethane
p. 1138-1141
Reaction between methyl radicals, obtained according to Polanyi, and deuterium
p. 1142-1145
Поправки к~статье ``О~методах анализа некоторых экстремальных планово-производственных задач''
Поправки к~статье ``Об одном функциональном пространстве