Geodesic

Sommaire du Fascicule no. 1

General solutions of differential-difference equations with constant coefficients
p. 9-12
On algorithmic problems in effectively complete classes of groups
p. 13-16
On the theory of equations with concave operators
p. 17-20
On the reducibility of a canonical system of differential equations with periodical coefficients
p. 21-24
Contact schemes for monotonic functions
p. 25-27
Weyl's sums estimates and the distribution of primes
p. 28-31
Lie theorems for generalized operators of translation
p. 32-35
On the imbedding of normal spaces into bicompacts of the same weight and dimension
p. 36-39
An example of zero-dimensional normal space having infinite dimensions from the standpoint of covering
p. 40-42
Gas flow from a vessel with plane walls forming a small angle $2\theta_0$
p. 43-46
Potential steady relativistic gas flows
p. 47-48
The stability of an orthotropic cylindrical shell subjected to torsion with internal pressure
p. 49-52
Critical cross section in irregular waveguides
p. 53-56
On possible methods of measuring the concentration of slow neutrons in the $F_2$ layer of the ionosphere
p. 57-59
Polarization of luminescence of excitation by polarized and natural light
p. 60-63
The signal-to-noise ratio in a regenerative detector of nuclear paramagnetic resonance
p. 64-67
The crystal structure of natrochalcite
p. 78-81
The kinetics of the catalytic hydrogenation of molecules as related to their structure
p. 83-86
On the reduction of nickel ferrite by graphite
p. 87-89
Isotopic exchange in molecular nitrogen on iron catalysts used in the synthesis of ammonia
p. 90-92
Kinetic isotopic effect on the introduction of iodine into aromatic amines
p. 93-96
Reformatsky reaction involving nitrobenzaldehydes
p. 97-98
The synthesis of $2$-methyl- and $3$-methyl-$1$-thiaindans and $2$-ethylthiaindene
p. 99-101
Catalytic synthesis of $4$-methyl-$2$-phenyl-$5{,}6$- benzoquinoline and $2{,}4$-diphenyl-$5{,}6$-benzoquinoline and their derivatives
p. 102-104
Effect of the nature of the carrier on the direction of catalytic hydrogenation of hydrocarbons of the cyclopropane series
p. 105-108
On the synthesis of cyclopentyl- and cyclohexyl-substituted mesitylene
p. 109-112
Infrared spectra of organolithium compounds. Intermolecular lithium bond
p. 113-116
Isotopic investigations of the formation of hydrogen peroxide by oxidation of $2$-ethyl-anthrahydroquinone and isopropanol
p. 117-119
Mass-spectra of large molecules
p. 120-122
On the rate of degenerate chain branching in the oxidation of $n$-decane
p. 123-126
On regularites in the radiation vulcanization of polyamides
p. 127-130
On the structure of water
p. 131-132

Sommaire du Fascicule no. 2

Definition of a convex surface by a given function of its main curvatures
p. 215-218
Fourier series as a device for approximation of almost periodic functions
p. 219-222
On the general theory of optimal processes
p. 223-226
Mathematical methods of controlling abstract transformations
p. 227-230
On the asymptotic character of Lavrentiev's formulas
p. 231-234
On a certain principle of the existence of bounded, periodical and almost periodical solutions to systems of ordinary differential equations
p. 235-238
Representations of solutions of Euler--Poisson--Darboux equation with negative coefficient
p. 239-242
Converse Lie theorems for general operators of generalized translation
p. 243-245
Computations connected with the check of Riemann's hypothesis
p. 246-248
Eigen-values and characteristic functions of some fourth order differential operators containing a small parameter in the higher derivative term
p. 249-251
On ``period -- luminosity relation'' in the case of cepheids
p. 252-255
A study of the phase composition of meteoric iron by use of local X-ray spectrum analysis
p. 256-258
On the thermal conductivity of superconductors as due to phonons
p. 259-261
On the boundary problem of generalized hydrodynamics
p. 262-265
On the hydrodynamiс forecast of baric and kinematic fields (short-range weather forecast)
p. 266-268
Scattering and polarization of light by the atmosphere in the Libyan desert
p. 269-271
Investigation of the $\mathrm{SnTe}$ -- $\mathrm{GeTe}$ system
p. 279-281
The synthesis of mixed polyesters of the acryl series (polyesteracrylates)
p. 282-284
Enzymic synthesis of optically active peptides from glycol ethers of $D,L$-aminoacids
p. 285-288
The production of carboxylmethylcellulose fractions and investigation of their physical-chemical properties
p. 289-291
Ways of formation of propylene and ethylene in the cracking of isobutylene
p. 292-294
Direct introduction of lead into an organic molecule
p. 295-297
Dipole moments and reactivity of vinylacetylene hydrocarbons
p. 298-300
Production and properties of phenazine salts (on the relationship between chemical structure and the ability of forming free nitrogen radicals)
p. 301-304
The synthesis of rutin
p. 305-307
Molecular orbitals of radicals with non-alternant cycles
p. 308-311
Polarography at high pressures
p. 312-315
Adsorption of hydrocarbons at increased temperatures
p. 316-319
Extraction of sulphide inclusions from melted slags by means of electric field
p. 320-323
The role of the emulsifier in the redox initiation of emulsion polymerization
p. 324-326
Поправки к статье (ДАН, 109, \No~4, 1956~г.)

Sommaire du Fascicule no. 3

On the number of indecomposable nets and some of their properties
p. 391-394
On the theory of operational calculus
p. 395-396
Some problems for Euler--Poisson--Darboux equation
p. 397-400
Adjoined operators of generalized translation
p. 401-404
Uniform distribution of a system of functions presenting a solution of linear first order difference equations
p. 405-406
A solution of a set of simultaneous difference equations corresponding to Dirichlet problem by means of a normal sequence of digits
p. 407-409
Damping of proper oscillations of a gyroscope in Cardan's suspension with dry friction
p. 410-412
On the application of the method of singularities to the calculation of fluid flow in radial-axial turbines
p. 413-416
The uniqueness of the symmetrical solution in the problem of the large deflection of a symmetrically loaded circular plate
p. 417-419
Products of cosmic radiation in the Sikhote-Alin meteorite
p. 420-423
On the age of meteorites
p. 424-426
Solution ``in the large'' to the boundary value problem for the Navier-Stokes equations in two space variables
p. 427-429
On approximate solution of the quantum problem of many bodies in the case of Bose statistics
p. 430-432
On the thermodynamics of superconductivity
p. 433-436
On the possibility of superfluid state of nuclear matter when $p$--$p$ and $n$--$n$ interactions are taken into account
p. 437-439
On the forecasting of smoothed values of meteorological elements at the mid-level of the atmosphere
p. 440-442
Magnetic susceptibility of salts as a function of their water content
p. 443-445
Complex compounds of trivalent cobalt containing thiourea
p. 457-460
The nature of the bond between the central atom and some unsaturated molecules in complex platinum compounds
p. 461-463
Three types of kinetic curves for the reaction of methane and propane with nitrogen dioxide
p. 464-467
Analysis of organofluorine compounds. Simultaneous microdetermination of fluorine and nitrogen in organic compounds
p. 468-470
Carboxymethylcellulose preparations for blood substituting solutions
p. 471-474
Investigation of the mechanism of self decomposition of potassium ozonide by the magnetic method
p. 475-478
Organoboron compounds. Allyl derivatives of boron
p. 479-482
Structure of some hydrazine derivatives versus their properties, especially, their ability of dissociation into free radicals. On the relationship between chemical structure and the ability of forming free nitrogen radicals
p. 483-486
The production of variously substituted triacidotriamines of quadrivalent platinum
p. 487-489
Distribution of impurities in a single crystal of metallic zinc having a honeycomb substructure
p. 490-491
The behaviour of the antimonides of aluminium, gallium and indium in the liquid state
p. 492-494
On theory of sensitivity fluctuations in crystals of nuclear photographic emulsions
p. 495-497
Chemisorption properties of metal specimens as related to their structure
p. 498-500
Branching and rupture of chains as a factor in the thermal chain propagation of flame
p. 501-504
Some regularities in the solubilization of protein systems
p. 505-508
Some features of supersaturation kinetics in aqueous suspensions of calcium oxide
p. 509-512
Поправки к статье ``Оптическое исследование конформаций некоторых гем-замещенных циклогексанов''
Поправки к статье ``Введение дезоксикарбоновой, глицериновой и оксиацетоновой боковых цепей в орто-метилциклогексанон и стереохимия образующихся при этом соединений'' (ДАН, т.~120, \No~5, 1958~г.)
Поправки к статье ``К вопросу о механизме электролитической полировки металлов и структуре электрополированной поверхности''

Sommaire du Fascicule no. 4

The asymptotic behaviour of solutions to some boundary problems for quasilinear equations involving a small parameter in the highest derivative term
p. 583-586
Solutions of some perturbed systems in the neighbourhood of periodical motions
p. 587-590
The stability of the solutions of Cauchy problem and the mixed problem for hyperbolic equations
p. 591-594
A correctly formulated boundary value problem for certain nonclassical operators
p. 595-598
Isometric imbedding of polyhedra
p. 599-601
Relationship between the growth of the solution of an elliptical equation and the number of its sign alternations
p. 602-605
On second mixed derivative
p. 606-609
Scheme synthesis by linear transformations of variables
p. 610-612
Theorem on the existence and uniqueness of the solution to a boundary value problem for a system of ordinary differential equations
p. 613-615
Estimates in $L_p$ of solutions of elliptic systems
p. 616-619
The formation of streaming fluctuations behind a solid obstacle
p. 620-622
The stability of cylindrical shells from the standpoint of the mathematical theory of elasticity
p. 623-626
On an explosion in an unbounded compacting medium
p. 627-630
An asymptotic expression for the eigenfunctions of the equation $\Delta u+k^2u=0$ with boundary conditions on equidistant curves and the propagation of electromagnetic waves in a waveguide
p. 631-633
Radiation from a point charge moving uniformly along the axis of a round hole in an infinite ideally conducting plane
p. 634-636
Calculation of the lower limit of the explosion frequency curve
p. 637-638
Free path of slow secondary electrons in metal and the role of inelastically reflected electrons in the secondary electron emission
p. 639-642
Two processes favouring the capture of electrons under betatron acceleration conditions
p. 643-644
Raman spectra of complex compounds containing $\mathrm{SbCl}_3$ and $\mathrm{SnCl}_4$
p. 645-647
Mechanism of the development of microcracks in crystals on plastic deformation
p. 648-651
On the formation of the superfluid state in the atomic nucleus
p. 652-654
Experimental investigation of statistical characteristics of scintillation light from a terrestrial source
p. 655-658
The microstructure of stresses in slip limes and dislocations
p. 673-676
The structure of reaction products on the addition of aromatic amines to zinc halogenides
p. 677-680
Investigations into the domain of the radiation chemistry of organometallic compounds. Gamma-radiations in a reaction of metallic tin with halogen alkyls
p. 681-684
Cis-trans-isomerization of natural rubber under the influence of aluminium organic compounds and titanium tetrachloride
p. 685-687
Determination of the composition and stability constants of lead chloride complexes from experiments on the distribution of a radioactive isotope between the deposit and the solution
p. 688-690
A chemical method of producing cellulose homogeneous with respect to molecular weight
p. 691-692
Catalytic interaction between alkyldichlorosilanes and the halogen-substituents of benzene
p. 693-695
Interaction between alkyl radicals and nitrogen dioxide
p. 696-699
Diacyl derivatives of phenylhydrazine. On the relationship between chemical structure and analgesic effect
p. 700-703
Selective catalytic dehydrogenation of saturated high molecular hydrocarbons in the liquid phase
p. 704-706
The synthesis of cinchonamine, an alkaloid from the bark of a cinchona tree
p. 707-708
Acid properties of $3$-acylpyrazoles
p. 709-712
An experimental investigation of stress distribution in the process of polymer rupture
p. 713-715
Dehydration and rehydration of the surface of quartz
p. 716-719
The structure of the surface of electrolytically deposited alloys as related to their phase composition
p. 720-721
The effect of radioactivity on the sorptive properties of barium sulphate
p. 722-724
Solubility of fine quartz sand in water
p. 725-728
Поправки к статье ``Опыт полуэмпирической теории движения взвешенных наносов в неравномерном потоке''

Sommaire du Fascicule no. 5

Some problems involved in the calculation of polynomials
p. 775-777
Analytic capacity of sets and some of its properties
p. 778-781
Small parameter method for operator equations
p. 782-784
Proof of a hypothesis advanced by P.\,S.~Alexandrov
p. 785-786
Relationship between the growth of the solution of a parabolic equation and the number of its sign alternations
p. 787-790
On Riemann--Privalov's problem with continuous coefficients
p. 791-794
Some infinite sets of simultaneous linear algebraic equations solvable in closed form
p. 795-798
Conditions on discontinuity surfaces in the general theory of relativity
p. 799-802
Evaporation of solid globules in a gas flow
p. 803-805
On the stability of dynamically loaded cylindrical shells
p. 806-808
The effect of nonuniform heating on stress variation in creep
p. 809-812
On certain questions in the theory of radiation transfer and radiant heat exchange in an absorbing medium
p. 813-816
The structure and motions of large-scale inhomogeneities in the $F_2$ layer of the ionosphere
p. 817-820
On a linear boundary problem in generalized hydrodynamics. Theory of supersonic interferometer
p. 821-824
Electrons producing a penetrating X-ray emission of powerful pulse discharges
p. 825-827
Faraday effect on Mott's excitons
p. 828-831
On unsteady two-dimensional flows of polytropic gas with straight line characteristics
p. 832-834
Transfer of heat from normal to superfluid phase of liquid helium
p. 835-837
Dispersion relations for the production of pions
p. 838-840
The kinetics of polycondensation of dicarboxylic acid chloranhydrides with biatomic phenols
p. 849-852
The reduction of diene hydrocarbons with a conjugate system of double bonds by hydrogen at the instant of its liberation
p. 853-856
Alkylation of toluene by $\mathrm{C}_{10}$ defines in the presence of sulphuric acid
p. 857-859
On the kinetic mechanism of interaction between methane and nitrogen dioxide
p. 860-863
The synthesis of $\mathrm{P}$-aminoacid derivatives of adenylic acid
p. 864-867
The thermodynamic properties of copper palladium alloys
p. 868-869
Formation of free radicals in bimolecular reactions. Reaction between triphenylchloromethane and ethyl lithium
p. 870-873
Preservation of the latent image and of sensitivity in nuclear photographic emulsions sensibilized by triethanolamine
p. 874-877
The effect of electronegative elements on the catalytic action of silver in the oxidation of ethylene
p. 878-881
Investigation of free radicals formed in solids subjected to bombardment by fast electrons
p. 882-883
Oxidation of bivalent vanadium on a germanium anode
p. 884-886
On the semiconducting properties of iron-copper catalysts and the activating effect of alkaline promoters in synthesis
p. 887-890
On the nature of the acidity of silica-alumina cracking catalysts
p. 891-894
Поправки к статье ``О функциональной разделимости булевых функций'' (ДАН, т.~94, \No~5, 1954~г.)

Sommaire du Fascicule no. 6

Some theorems on the possibility of a uniform approximation of continuous functions by analytic functions
p. 959-962
Axially symmetrical motion of liquids
p. 963-966
Some functional inequalities of the imbedding theorem type
p. 967-970
Fractional powers of self-adjoined extensions of operators and some boundary problems
p. 971-974
Solution of some binary additive problems by computing dispersion in progressions
p. 975-977
Unsolvability of certain problems in topology
p. 978-980
Principles of generalized differential-integral calculus
p. 981-983
First order differential equations in Hilbert space with a variable positively defined self-adjoined operator whose fractional power has a constant definition domain
p. 984-987
On a single particular solution of ideal plasticity theory in cylindrical coordinates
p. 988-990
Mixed boundary value problem for an elastic lamina
p. 991-993
A general expression for the phase density of finite stationary axially symmetric self-gravitating stellar systems and their differential axial rotation
p. 994-997
On the correlation functions for a system of identical charged particles
p. 999-1002
On flows produced by sound
p. 1003-1005
Some optical properties of the atmosphere in Libyan desert
p. 1006-1009
Steepness of developing waves at various wind velocities
p. 1010-1013
Realization of discrete corrector schemes
p. 1025-1028
Reactions of oxygen containing radicals of the $\mathrm{RO}\cdot$ type
p. 1029-1032
A physical-chemical analysis of binary liquid systems on the basis of boiling point measurements
p. 1033-1036
Chromatographic analysis of mixtures of $\mathrm{C}_5$ hydrocarbons
p. 1037-1040
Chlorinated polypropylenes
p. 1041-1043
The synthesis of $1{,}2$-dialkylcyclopentanes and their separation into cis- and trans-isomers
p. 1044-1047
The influence of quadrivalent titanium ions on the electrochemical properties and corrosion behaviour of this element
p. 1048-1051
Influence of calcium chloride on structure formation in aqueous suspensions of tricalcium aluminate
p. 1052-1055
Kinetics of oxidation of coals by nitric acid
p. 1056-1059
Differential adsorption heats of water vapour on the silica gels hydrated to different extent
p. 1060-1063
Measurement of cobalt and nickel vapour pressures
p. 1064-1067
Surface activity of liquid metal coatings and their influence on the strength of metals
p. 1068-1070
A study of the saturated vapour pressure of some thallium compounds
p. 1071-1073
Spontaneous thinning of tenuous bilateral liquid films
p. 1074-1076