Geodesic

Sommaire du Fascicule no. 1

The Cauchy problem for a class of non-linear equations in functional spaces
p. 9-12
The reduction of a system of linear partial differential equations with constant coefficients to the normal form
p. 13-16
On the convergence of sequences of linear positive operators in the space of continuous functions of two variables
p. 17-19
Periodical solutions of a non-linear equation of autooscillations
p. 20-22
Bounded solutions of an unhomogeneous integral equation given on a semi-infinite interval and having its kernel
p. 23-26
On the existence of solutions to Cauchy problem for a certain class of partial differential equations
p. 27-30
Determination of the class of convergence in certain interpolation problems
p. 31-33
On the spectral properties of elliptical operators
p. 34-37
Certain properties of series in Faber polynomials
p. 38-41
The first boundary problem for a non-linear elliptic equation of the second order in a bounded domain with a degenerate boundary
p. 42-44
Computation of the eigenvalues of integral equations by means of iterated kernels
p. 45-48
A local theorem for latticed distributions
p. 49-52
Local limit theorems for large deviations
p. 53-56
Imbedding theorems for abstract functions of sets
p. 57-59
On the structure of groups with finite classes of conjugate elements
p. 60-63
On uniqueness in the inverse problem of the potential theory
p. 64-66
On spectral functions of an even order differential operator
p. 67-70
Determination of the flux of primary cosmic ray particles at $31^\circ$ $\mathrm{N}$ latitude
p. 71-74
The satellites of the $L_{\alpha_{1,2}}$ и $L\beta_1$ lines in the spectrum of germanium
p. 75-77
New possibilities of increasing the efficiency of accelerators of charged particles
p. 78-79
Separation of isotopes when an atomic beam passes through ionization space
p. 80-83
On the planetary distribution of ionospheric magnetic disturbances and aurorae
p. 84-87
On the interval logging of acoustic waves
p. 88-90
Alkylation of $\alpha$- and $\beta$-naphtols by acetylene
p. 91-93
Distrubution of small quantities of carbon in iron alloys
p. 94-96
Polymerization of some compounds having two isopropenyl groups
p. 97-99
Interaction of cerium with hydrogen
p. 100-102
Conjugate decarboxylation on the autooxidation of isopropylbenzene in a mixture with fatty acids
p. 103-106
The production and properties of mono-, di- and tri-$p$-tolylalkylsilanes
p. 107-109
The relative existance to heat as dependent on composition in the $\mathrm{Cu}$ -- $\mathrm{Ni}$ -- $\mathrm{Si}$ system
p. 110-113
The properties of $\alpha$-cellulose from thousand years old fossil pine wood
p. 114-117
Electron spin resonance in some sandwich type chromaromatic compounds
p. 118-121
On the order-disorder theory in alloys
p. 122-125
A theory of the interaction force between drops at rest at any distance at psychrometric temperature
p. 126-129
Поправки к~статье ``Асимптотическое поведение решений одной
Поправки к~статье ``Сверхтонкая структура парамагнитного резонанса. Ядерный спин и магнитный момент 5,3-годичного радиоактивного изотопа $\mathrm{Eu}^{152}$'' (ДАН, т.~112, \No~4, 1957~г.)

Sommaire du Fascicule no. 2

On the completeness of a system of eigen-elements and adjoined elements of non-selfadjoined operators close to normal ones
p. 207-210
On coefficients of typically real functions
p. 211-213
An analogue of the extension theory of Hermitian operators and a non- symmetric one dimensional boundary problem on a half-axis
p. 214-216
The unequivocal definiteness of certain convex surfaces in the Lobachesvky space
p. 217-219
The first boundary problem for quasilinear elliptical equations
p. 220-222
On the convergence of a modification of Galerkin's method
p. 223-225
On a normed ring of functions with convolution
p. 226-229
On boundary problems for eigen-values and characteristic functions of ordinary differential equations
p. 230-233
On the completeness of a system of eigen elements and adjoint elements of a compacte operator
p. 234-236
Some limit theorems for homogeneous Markoff chains
p. 237-239
Approximate methods of solving differential equations in Banach space
p. 240-243
On Cantorian manifolds of an infinite number of dimensions
p. 244-246
On a family of classes of functions in the logic algebra and their realization in the class of $\Pi$-schemes
p. 247-248
The behaviour of cycles in the continuous mapping of compacts
p. 249-252
Some theorems on the stability of the solutions of parabolic systems
p. 253-255
On energy sources in the thermal excitation of sound
p. 256-258
The cross-section for inelastic interaction of more than 7 Bev kinetic energy protons with nuclei of carbon atoms
p. 259-262
Identification of the internal conversion spectrum of long life isotopes $\mathrm{Eu}^{152}$ and $\mathrm{Eu}^{154}$
p. 263-266
A theory of gas flow, through a porous body in ihe neighbourhood of the Knudsen region. Pseudomolecular flow
p. 267-270
Sound diffraction on a thin bounded elastic cylinder shell
p. 271-273
On the theory of the concentrational quenching of fluorescence in solutions
p. 274-276
On the theory of the decay of a quasi-stationary state
p. 277-280
On conjugation in butadiene
p. 291-294
On polymorphism of thallium bisulphate
p. 295-296
On two reaction trends in the dehydrochlorination of lower alkylene chlorohydrins
p. 297-300
The hydration of vinylcyclopropane and 1-methyl-1-isohexenyl cyclopropane in the presence of platinum and palladium
p. 301-304
On alkyl esters of ethylthioarsinous acid
p. 305-307
Formation of polymeric hydrocarbons bydecomposition of aliphatic diazocompounds
p. 308-311
The halochromism of phenyl- and cyclohexylcarbinols
p. 312-314
$\beta$-Cyanovinylketons
p. 315-318
Transformations in ternary solid solutions with $\mathrm{Ni}_3\mathrm{Fe}$ as primer
p. 319-321
An investigation of water solutions of sodium paratungstate
p. 322-325
Synthesis of some alkylhaloidsilanes and silicon hydrocarbons
p. 326-329
The catalytic hydrogenolysis of sylvan on varied catalysts
p. 330-332
The absorption spectra of some tetravalent uranium compounds at the liquid nitrogen temperature
p. 333-335
Adsorption of cations as dependent on platinum electrode potential
p. 336-338
Influence of solvent's chemical nature on the oxidation of rubber in solutions
p. 339-342
Heat of benzene and hexane vapour adsorption on calcined and hydrated silica
p. 343-346
The kinetic method studying the cracking of propane by means of labelled atoms
p. 347-350
The mechanism underlying the sorption of dipolar ions by ionites
p. 351-353
The heats and free energies of the formation of zirconium nitrides as related to composition and structure
p. 354-357
True equilibrium and pseudoequilibrium in ion exchange processes on carboxyl cationites with the participation of a streptomycin ion
p. 358-361
Поправки к~статье ``К~теории реального газа с~нецентральным законом взаимодействия частиц''
Поправки к~статье ``Метод изучения электронных термов двухатомных молекул.

Sommaire du Fascicule no. 3

Difference schemes for multidimensional problems
p. 431-433
Numerical solution of algebraic and transcendental equations
p. 434-437
Nomogram construction without quadratures
p. 438-440
Methods of analyzing some extremum problems concerned with industrial programs
p. 441-444
Representation of numbers as a sum composed of a prime and a power of a given integer
p. 445-446
On the behaviour of solutions of a system of differential equations in the neighbourhood of isolated static solution
p. 447-449
The analytical solution of the Goursat problem for a system of differential equations
p. 450-453
On systems of quasi linear equations
p. 454-457
Convergence of series obtained in solving non-linear integral equations
p. 458-461
Reduction of non-selfadjoined operators to the diagonal form
p. 462-465
On the representation of certain classes of analytical functions
p. 466-469
Asymptotic behaviour of the spectral matrix of the theory-of-elasticity operator
p. 470-472
Elastic-plastic deformation of a plane under the action of a concentrated force
p. 473-474
Types of vibrations of the plasma in a magnetic field
p. 475-478
X-ray study of the influence of an unilateral pressure on the structure of barium titanate polycrystals
p. 479-482
Coloration of single $\mathrm{BaTiO}_3$ crystals
p. 483-485
The microwave spectrum of 1,2-fluorochlorethane
p. 486-487
Natural profile of energy levels
p. 488-490
The birefringence sign in a flow as influenced by the concentration of the polymer solution
p. 491-493
The dependence of the turbulence factor on the sea wave parameters
p. 494-496
Application of the method of long waves to the problem of the flow passing over mountain chains
p. 497-500
Binding of lime into calcium hydrosilicate under normal conditions
p. 509-511
On the tautomerism of di phenyl phosphite
p. 512-515
Complex formation and chain structure in the polymerization of di vinyl by lithium butyl
p. 516-517
The influence of substituents on the strength of ferrocenecarboxylic acids
p. 518-521
The synthesis and dehydration of unsaturated silicon containing alcohols
p. 522-525
The tautomerism of arylazotropolones
p. 526-529
The nature of the primary light reduced form of chlorophyll and its analogues, as investigated with the use of $\mathrm{D}_2\mathrm{O}$
p. 530-533
Intercrystalline layers in gypsum
p. 534-536
Formation of acetylene on incomplete combustion of methane in oxygen
p. 537-540
The mechanism underlying the hydration of defines in water solutions of strong acids
p. 541-544
The structure of molecular chains of polyisoprenes, as revealed by infrared absoprtion spectra
p. 545-547
On liquid diffusion electrodes
p. 548-551
A study of isotactic polypropylene by means of infrared spectra
p. 552-553
The catalytic activity of skeleton nickel as dependent on the conditions of hydrogen activation
p. 554-556
Electrochemical oxidation of $\beta$-picoline
p. 557-559
Kinetics of the decomposition of hydrogen peroxide under the action of gamma rays
p. 560-563
Certain features in the kinetics of the addition of hydrogen iodide to unsaturated compounds
p. 564-567
Certain features in the cathodic reduction of chromic acid on a carbon electrode
p. 568-571

Sommaire du Fascicule no. 4

Dirichlet problem for the circle
p. 639-642
Perturbation of linear operators with a purely discrete spectrum
p. 643-645
On the integral manifold of a system of differential equations containing a small parameter
p. 646-649
Uniform convergence of expansions in characteristic functions for regions having an odd number of dimensions
p. 650-652
Curvature of level curves in univalent conformal mappings
p. 653-654
Spaces of symmetric almost symplectic connectivity
p. 655-658
The mapping of a topological space multiplied by Euclidean space into Euclidean space
p. 659-662
Surfaces with plane generatrices along which the tangent plane is constant
p. 663-665
The spectral analysis of Volterra operators and some inverse problems
p. 666-669
An elliptical type of equation degenerating at the domain boundary
p. 670-673
On convexity of Riemannian spaces of-positive curvature
p. 674-676
On surging in compressors
p. 677-680
Hypersonic flew past a thin cone with a blunted nose
p. 681-683
The interaction of cosmic rays protons at about $10$ Bev energies with $\mathrm{Pb}$ nuclei
p. 685-688
Interaction between intromolecular and lattice vibrations in ciystals with reference to infrared spectra
p. 689-692
Phenomena within the electrode region in alkali halide crystals at high temperatures
p. 693-695
The first excited levels of axiaily symmetrical even-even nuclei
p. 696-698
Calculation of the magnetization of uniaxial ferrite at low temperatures
p. 699-701
Internal stresses around unit dislocations
p. 723-726
The kinetics of catalytic dehydrogenation of isopropyl alcohol in the presence of fourth-period transition metals
p. 727-730
Use of catalysts based on magnesium halogen alkyls and titanium tetrachloride in the production of amorphous and
p. 731-733
Thermal telomerization of olefines with silanes containing a $\mathrm{Si}$ -- $\mathrm{H}$ bond
p. 734-736
Association of organo-lithium compounds of the aliphatic series in hydrocarbon solutions
p. 737-739
The chemical composition of gasolines obtained by thermal and catalytic cracking
p. 740-743
The photoionization of vapours of certain organic vapours
p. 744-746
The correlation of electric and diffusion processes in the phenomenon of adhesion of two polymers
p. 747-750
Superrequivalent adsorption of cations on negatively charged mercury surface
p. 751-754

Sommaire du Fascicule no. 5

Reduced strategies for games in the generalized form
p. 855-857
On the first boundary value problem for equations expressing one-dimensional unsteady percolation
p. 858-861
On semireducible Riemannian spaces
p. 862-865
Certain special classes of topological spaces and $\delta s$-operations
p. 866-868
A solution of a mixed problem in the integral form for a system of two parabolic differential equations
p. 869-871
A local limit theorem for unhomogeneous Markoff chains with an enumerable number of possible states
p. 872-873
Integral representations of analytical operator functions of one variable
p. 874-877
An expression for the trace of the difference between two singular differential operators of the Sturm--Liouvilie type
p. 878-881
Propagation of a thermal nearly spherical wave
p. 882-885
Asymptotic formulas for generalized Legendre functions and Gegenbauer functions
p. 887-890
Dispersion relationships in the cases of a weak interaction
p. 891-893
On the polarization of fluorescence in solutions
p. 894-897
Astudv of potassium bromide crystals for variation of conductance in a strong field within $300$ -- $450^\circ$
p. 898-900
The specific heat of solids as dependent on temperature
p. 901-903
Experimental investigations of the alpha-decay of medium atomic weight elements
p. 904-906
Matrix algebra in the theory of particles having a spin of $3/2$
p. 907-910
Optical anisotropy of certain chain molecules containing benzene rings
p. 911-914
Wind wave profile and its record by bottom wave-recorders
p. 915-918
On the transformation of the transient equations in a $r$, $L$, $C$ circuit relative to a rotating reference frame
p. 922-925
The mechanism underlying the oximation of cyclohexanone by sodium hydroxylamirmoncsulfcnate
p. 927-930
An investigation of the nitration of isopropylcyclohexane by nitric acid
p. 931-933
Isotopic studies on the mechanism of electrolytic formation and hydrolysis of persulfates
p. 934-937
Adsorption of water on quartz ground in vacuo
p. 938-941
Film and capillary-held water in a porous medium
p. 942-945
The influence of adsorption layers on the dispersion of graphite
p. 946-948
Anodic solution of thorium in salt melts
p. 949-952
Поправки к~статье ``Адсорбция паров на поверхности золота'' (ДАН, т.~112, \No~3, 1957~г.)
Поправки к~статье ``Принцип наименьшего потенциала тока'' (ДАН, т.~108, \No~5, 1956~г.)

Sommaire du Fascicule no. 6

On functions having no values in common and the outer boundary of the function's domain
p. 1055-1057
On a functional space and certain extremum problems
p. 1058-1061
Approximate calculation of repeated integrals by number-theoretical methods
p. 1062-1065
Groups of homologies of nilpotent algebras
p. 1066-1069
On the domain of values of a certain functional in the problem of non-overlapping domains
p. 1070-1073
On topological spaces whose weight exceeds their power
p. 1074-1076
A method of numerical integration of diffusion equations
p. 1077-1079
Unsteady motions of incompressible fluid in narrow regions
p. 1080-1083
On the forces of interaction between the earth’s core and shell due to the nutation
p. 1084-1087
On the lateral distribution function of particles in an electron-photon shower
p. 1089-1092
Interaction of high energy particles with nuclei
p. 1093-1096
A method for the. computation of quantum distribution functions
p. 1097-1100
On the change of electrical resistivity by elementary slip
p. 1101-1103
Estimation of a certain conventional coefficient of temperature conductivity in modelling atmospheric processes
p. 1104-1106
Luminescence polarization diagrams for single crystals of stilbene
p. 1115-1118
Interaction of the intermediate products of Arbuzov's regrouping with amines
p. 1119-1121
On the mechanism of the thermal breakdown of cellulose in vacuo and the formation of l,6-anhydro-l,5-glucopyranose, a levoglucosan
p. 1122-1125
Experimental verification of the chain mechanism of hydropolymerization of olefines, a heterogeneous catalytic reaction
p. 1126-1128
The mechanism underlying the action of reactants in flotation
p. 1129-1130
Passivation and de-passivation of a lead anode in concentrated solutions of fluosilicic, perchloric and fluoboric acids
p. 1131-1134
Kinetics of shear strain development in water solutions of glycerol, sucrose and xylitol
p. 1135-1137