Geodesic

Sommaire du Fascicule no. 1

An application of generalized characteristic numbers for studying the stability of a stationary point
p. 9-12
Some properties of stability of bases
p. 13-16
Distribution of a non-homogeneous production allowing for conversion at intermediate points
p. 17-20
On the coverings of a graph by a system of neighborhoods of its vertices
p. 21-24
General boundary-value problems wtih discontinuous boundary conditions
p. 25-28
On the spectrum of non-selfadjoint differential operators
p. 29-32
On a class of finite homomorphisms
p. 33-36
A mixed problem for general parabolic systems in a half-space
p. 37-40
The asymptotic distribution of eigenvalues of elliptic operators
p. 41-44
Some properties of the solutions of non-linear equations of hyperbolic type in Hilbert space
p. 45-48
A new algorithm in the theory of perturbations of the continuous spectrum
p. 49-52
Limiting distribution of a certain class of functionals of a sequence of sums of independent random variables
p. 53-55
Iteration methods with second-order divided differences
p. 56-58
On the representation of ultraspherical polynomials in the form of a differential operator containing
p. 59-61
Isotopy of elements and spheres in $n$-dimensional space with $k>2/3$ $n-1$
p. 62-65
The scattering operator in the second quantization space
p. 66-69
Hilbert’s method of solving the Boltzmann kinetic equation
p. 70-73
Passage of non-equilibrium gas through the critical cross section of a nozzle
p. 74-77
A new variational formalism in the general theory of relativity
p. 78-81
An investigation of the complete energy spectrum of secondary electrons in $\mathrm{Sn}$ and $\mathrm{In}$
p. 82-85
New lead-containing perovskite compounds of complex composition
p. 86-88
Solution of phases in the nickel~-- gold system
p. 89-91
Production of polymers with dibenzoborimidazoline links in the main chain
p. 130-132
Addition of certain hydrogen-containing organosilicon compounds to vinyl-derivative organocyclosiloxanes and to isoprene
p. 133-136
Interaction of sodium diethylphosphide with 1,2-dibromocyclohexane and 1,2-dibromoethane
p. 137-140
Semiconducting combined materials synthesized by gas-phase grafted radiation polymerization
p. 141-142
The synthesis of nucleotidyl-$(\mathrm{P}-\mathrm{N})$-phenylalanine by the pyrophosphate technique
p. 143-146
Action of $\mathrm{HGe}(\mathrm{C}_2\mathrm{H}_5)_3$ on diacetylene glycols in the presence of
p. 147-150
Interaction of $\mathrm{Nd}_2\mathrm{O}_3$ with water
p. 151-154
On the acid isomerization of sabinene
p. 155-156
Interaction of the etheramides and etherochloranhydrides of phosphorous acid with diacetyl
p. 157-158
The stereochemistry of the oxidation of geometrical isomers of
p. 159-162
Isomerization of 2-oxypentin-4-yl-2-cyclopentadienyl-manganesetricarbonyl and
p. 163-166
Selenium-containing derivatives of acrylic and metacrylic acids
p. 167-169
The initiation of vinyl-chloride polymerization by the reactions between triethylaluminium and halogen containing organic compounds
p. 170-172
The synthesis of new silicates of rare-earth elements
p. 173-175
The catalytic reduction of the nitrogroup as influenced by the structure of certain nitrobenzene derivatives
p. 176-178
Detection of atomic oxygen when carbon sulfide is oxidized by molecular oxygen in a cold flame
p. 179-181
The kinetics of bimolecular chemical reactions as studied by a pulse chromatographic technique
p. 182-185
A new method of estimating the relations of the rate constants in reactions between radicals with their acceptors
p. 186-188
Поправки к~статье ``Инварианты линейных представлений группы вращений плоскости и проблема центра''

Sommaire du Fascicule no. 2

Fourier coefficients of parabolic forms
p. 255-257
The classification of semi-simple Lie algebras over $\mathfrak{p}$-adic field
p. 258-260
The $\varepsilon$-entropy of certain compact sets of differentiable functions in spaces with monotone norm
p. 261-263
Behaviour of solutions of differential equations near the boundary
p. 264-267
Description of the unitary representations of the Lorentz group in a space with indefinite metric
p. 268-270
A generalization of the Tricomi problem
p. 271-274
Boundary-value problems for partial differential equations with the Bessel differential operator
p. 275-278
Improving the convergence of methods of successive approximation for linear equations
p. 279-280
A priori bounds for solutions of degenerate elliptic equations
p. 281-283
Spaces of functions analytic in multiple Hartogs regions
p. 284-287
On the stability of control processes
p. 288-291
New partial solutions to the problem of motion of a heavy solid about a stationary point
p. 292-293
A general method of lowering the order of a Hamiltonian system with a known integral
p. 294-297
A method of solving Boltzmann's kinetic equation
p. 298-301
Radioastronomic observations used in determining the position of the region where the solar atmosphere characteristics change rapidly
p. 302-304
The stationary phase method applied to the solution of kinetic equations
p. 305-308
The analysis of the photoproduction of positive pions in the case of 175--230 Mev photons
p. 309-312
Anomalous photovoltage films obtained by subliming $\mathrm{Si}$ atoms from the surface of a current-carrying silicon plate
p. 313-316
The shape of absorption and dispersion curves of ruby $R$-lines
p. 317-320
Selective excitation of neon atoms when helium is added
p. 321-323
A contribution to the theory explaining the influence of climatic factors on photosynthesis
p. 331-334
The role of the impurity cation in the process of selective etching of $\mathrm{KBr}$ and $\mathrm{NaCl}$ crystals
p. 335-337
Electron diffraction study of the structure of the $\alpha$-pinene molecule
p. 376-378
The hydrazinolysis of pyrimidinenucleotides and DNA
p. 379-381
Bis-(triethylgermyl)-cadmium. Its synthesis and properties
p. 382-384
Mass-spectrometer investigation of $\mathrm{D}$-homo-equilenine, $\mathrm{D}$-homoesterone and their stereoisomers
p. 385-388
Investigation into the properties and structure of carbene
p. 389-392
Chlorine derivatives of kaolin and chrysotile asbestos
p. 393-396
The influence of the temperature on the structural directivity of the diene synthesis
p. 397-399
Manifestation of the $\sigma$, $\pi$-conjugation in the spectra of $\beta$-alkenylgermanes, as dependent on steric factors
p. 400-403
On the possibility of synthesizing organosilicon compounds containing a three-member heterocycle
p. 404-407
Synthesis of the 1,2,3-triazoles with electron-withdrawing substitution
p. 408-410
Substituted methyltropilidenes produced by the reaction of alkylbenzenes with chlorocarbene and methyllithium
p. 411-414
Compounds with a complex anion $[\mathrm{Hg}(\mathrm{SCN})_4]^{-2}$ and their precipitates
p. 415-418
The mechanism by which trivalent phosphorus acid esters react with silicon- and tin-alkylhalides
p. 419-422
The polarographic behavior and structure of some phosphorylated aldehydes in aqueous solutions
p. 423-426
Conditions for the formation of silicon when silica is reduced by carbon
p. 427-428
Synthesis of aryl-substituted azetidinthiones-$2$
p. 429-431
The role of the $\mathrm{H}$-bond in the processes by which radicals are formed as a result
p. 432-435
Free radicals formed as intermediate products in the oxidation of pyridylthiazolylcarbinols and some other secondary carbinols
p. 436-439
Mechanism of the coprecipitation of microquantities of yttrium with hydroxides of polyvalent metals
p. 440-441
The thermodynamic potential and the width of the forbidden zone in semiconducting compounds
p. 442-445
The role of supermolecular structures when polymers break down in an ultrasonic field
p. 446-447
Linear pyrolysis of condensed substances
p. 448-451
Поправки к~статье ``О линейных дифференциальных уравнениях второго порядка'' (ДАН, т.~153, \No~6, 1963~г.)
Поправки к~статье ``Задача Дирихле для эллиптической системы двух дифференциальных

Sommaire du Fascicule no. 3

On the cardinality of sets of closed classes of finite height in $P_{\aleph_0}$
p. 503-506
On certain perturbations of a closed linear operator
p. 507-509
On stable groups of automorphisms
p. 510-512
Classical solvability of diffraction problems for equations of elliptic and parabolic types
p. 513-515
On topologically reflexive $KB$-spaces
p. 516-519
Saturation classes in the theory of singular integrals
p. 520-523
Periodic and locally nilpotent subgroups of topological groups
p. 524-527
Some properties of analytic functions of class $H'_p$
p. 528-531
Estimates of fundamental matrices for general parabolic systems with constant coeffecients
p. 532-535
Three types of abstract integrals
p. 536-539
The asymptotic behavior of the discrete spectrum of the operator $-w''(x)+\lambda^2p(x)w(x)$
p. 540-542
Geometry of the ``manifold'' of a probability distribution
p. 543-546
On the zeros of the gradient of a harmonic function
p. 547-549
Asymptotic decomposition of the equations of a controlled process under slow variation of the parameters
p. 550-553
Rectangular three-layer plate in supersonic gas flow
p. 554-557
A wing of finite span in the presence of a moving shock wave
p. 558-561
Passage over sound velocity in Laval's nozzles with a circular cross-section
p. 562-565
Macroscopic description of kinetic processes
p. 566-569
Photoconductivity with big light fluxes and the effective cross-section for bimolecular recombination in silicon
p. 570-573
Elastic scattering of polarized neutrons by $\mathrm{Be}^9$, $\mathrm{C}^{12}$, $\mathrm{Co}^{59}$,
p. 574-577
Reversion of the indicatrix for ``soft'' particles
p. 578-581
Reaction of silazanes with organic isocyanates
p. 641-644
The mechanism of methane conversion by steam
p. 645-647
Reciprocal influence of bonds of the type $\mathrm{Si}$ -- $\mathrm{O}^-$ and
p. 648-651
The reactivity of alkylcyclopropanes of various structure compared by the bromometric method
p. 652-655
A new technique for the production of alkyl-dichlorogermanes and alkyltrichlorogermanes
p. 656-659
The possibility of synthesizing $\mathrm{N}$-ethyleniminosilanes by dehydrocondensation
p. 660-663
Tetrahydrates of rare-earth-element and yttrium perrhenates
p. 664-667
Phase equilibrium diagram of the chromium-osmium system
p. 668-670
Isotopic exchange of hydrogen in hexasubstituted benzenes
p. 671-674
Reaction between organomagnesium compounds and 2,5-dimethoxy-2,5-dihydrofurans
p. 675-678
Rearrangement of $\alpha,\alpha$-bis-(\textit{н}-butylthio)-ethylbenzene
p. 679-681
Estimation of fluorine and chlorine in polymers by the gamma-activation method
p. 682-684
Mass-spectrometric study of carbohydrates. The methyl ethers of disaccharides
p. 685-688
Analysis of oxygen in titanium by mass-spectrum technique
p. 689-691
Vinylation of cyclanes and cyclic ethers
p. 692-693
The fine structure of the main X-ray $L_{\mathrm{III}}$-absorption spectrum and the
p. 694-696
The structure of various kinds of rubber investigated by the replica method
p. 697-698
Coadsorption of polyacrylamide and a cation-active substance (imparter of hydrophobicity) on the surface of kaoline
p. 699-701
Measurement of the coulombs consumed in the formation of the oxide film during the passivation of titanium
p. 702-705
Adsorption potentials at the mercury electrolyte interface as influenced by the magnitude of the adsorption of neutral molecules
p. 706-709
Поправки к~статье ``Два варианта классического исчисления предикатов без структурных правил вывода''

Sommaire du Fascicule no. 4

The operations of partial multiplication in vector lattices
p. 759-762
The existence of solution to a many-index problem in linear programming
p. 763-766
The behaviour of semi-simple algebraic groups under extension of the ground field
p. 767-769
An estimate of the complexity of the contracted normal form for almost all functions of the logic of algebra
p. 770-773
Asymptotic behaviour of almost linear systems of differential equations
p. 774-776
Undecidability of the theories of symmetric and simple finite groups
p. 777-779
Singular integral equations on an infinite cylinder
p. 780-783
Some classes of topological groups
p. 784-787
One-to-one mappings on metric spaces
p. 788-789
A new general method of studying linear operator equations of a type of singular integral equations
p. 790-793
On the limiting amplitude principle
p. 794-797
Generalized analogy between mass-exchange coefficients in a laminar multicomponent boundary layer with an arbitrary pressure gradient
p. 798-801
The method of integral operators as used in studying the steady state of elastic hereditary systems
p. 802-804
Steady flow of a viscoplastic medium with non-linear viscosity
p. 805-807
The nature of discrete sources of X-rays
p. 808-810
Estimating the mass of a super-star
p. 811-814
Certain cosmological deductions from counting galaxies up to different angular diameters
p. 815-818
Synthesis of dense modifications of silica in the presence of water at pressures up to $150\cdot10^3$ kG/cm$^2$
p. 819-820
The microrelief and the shape of the pointed tips of an electron projector after an electric breakdown in vacuo
p. 821-823
The spectrum of a ruby optical generator with external spherical mirrors
p. 824-826
A magnetic trap version
p. 827-830
Equilibrium of plasma column with helical disturbances
p. 831-834
The role of the diffusion of point imperfections along dislocations in the process of plastic deformations
p. 835-838
Theorem on statistical averages for Pauli operators
p. 839-842
The reactivity of alkenylmethylsiloxanes in reactions with diazomethane and phenylazide
p. 868-871
Mass-spectroscopy of the oxides of certain bicyclic terpenes
p. 872-875
The anions and anioncoordination polymerization as influenced by the nature of the active centres
p. 876-879
The anticholinesterase properties of $\mathrm{O}$-ethyl-$\mathrm{S}$-alkylmethylthiophosphinates.
p. 880-883
Reaction of triethyl-tin hydride and its analogues with diethyl-zinc
p. 884-887
Synthesis of the mono- and diacetals of furan dialdehydes
p. 888-891
The structure of the panaxoside $\mathrm{A}$ aglycone
p. 892-895
Reaction between trimeric phosphonitrylchloride and aromatic dioxy-compounds
p. 896-899
The spectrum genetics of the benzylidenaniline and benzyliden-1-naphthylamine derivatives containing the
p. 900-903
Keioside~-- a new flavonoglycoside of Convallaria keiskei Miq.
p. 904-906
Condensation of the chloranhydrides of glycolphosphorous acids with $\alpha,\beta$-unsaturated ketones
p. 907-910
Dehydrocyclization of $n$-heptenes on an aluminochromopotassium catalyst
p. 911-914
Reaction of diphenyl with tert. butyl peroxide
p. 915-917
Reaction between stannanols and acetylenes
p. 918-921
Kinetics of ethylene telomerization by carbon tetrachloride and chloroform. The $Q-e$ scheme
p. 922-925
Production of fluorinated heterocyclic compounds from hexafluorobenzene
p. 926-928
The nature of the catalytic activity of platinum in the oxidation of hydrogen
p. 929-931
The hydrogen bond in radicals
p. 932-934
Kinetic characteristics of the decay of peroxides in irradiated DNA solutions
p. 935-938
An electron microscope study of the structural changes taking place when chloroprene rubbers are subjected to thermal vulcanization
p. 939-941
Cross-sections dissociation of $\mathrm{H}_2^+$ ions from methane and $n$-butane at different electron energies
p. 942-944
The influence of wave and time on the ability of a monomolecular layer to lower the evaporation of water
p. 945-948
Поправки к~статье ``Теорема вложения для следа в~абстрактных функциях'' (ДАН, т.~147, \No~4, 1962~г.)
Поправки к статье ``Классы $\mathbf{L}_{(p_1,p_2,\dots,p_k)}(\Omega_m)$ и теорема вложения

Sommaire du Fascicule no. 5

Finite groups with dispersive second maximal subgroups
p. 1007-1009
Characteristic indices of solutions of differential equations in a Banach space
p. 1010-1013
On the density hypothesis and the quasi-Riemann hypothesis
p. 1014-1017
An estimate of complexity of local algorithms for certain extremal properties on finite sets
p. 1018-1021
On the growth of eigenvalues of a linear integral equation
p. 1022-1025
Extension of the Fourier $L$-transform to locally square integrable functions
p. 1026-1029
On the deficiencies of a meromorphic function
p. 1030-1033
The free product of associative calculi with joined subalphabets and certain related questions
p. 1034-1037
On the addition of finite sets
p. 1038-1041
On the spectrum of normal operators and perturbations of them
p. 1042-1043
An approximate method of solving boundary-value problems for linear equations with analytic coefficients
p. 1044-1047
Kinematic interpretation of one solution of the problem of the motion of a body with a fixed point
p. 1048-1050
Enquiry into the smoothness of the detonation front in a liquid explosive
p. 1051-1053
The entropy maximization method in the theory of rarefied gases
p. 1054-1057
A contribution to the statistical theory of turbulence
p. 1058-1060
The effect of high pressure on the structure of gallium and indium
p. 1061-1063
Electromagnetic coupling of two volumes through a narrow slot
p. 1064-1067
A non-linear theory of the drift-cyclotron instability of a non-isothermal plasma
p. 1068-1071
Phase transformations and the changing structure of the nuclear magnetic resonance lines in beryllium oxyacetate
p. 1072-1074
The fibrous nature of the diffusion flow near the critical point of a binary solution
p. 1075-1077
Monomeric trihalogenphosphorans of the cyclic series and some of their transformations. Syntheses based on phosphorus tribromide
p. 1105-1107
Equilibrium conditions and hydrogen reduction mechanism of solid solutions in the
p. 1108-1111
Transformations of methvl-cyclononane in the presence of ferroplatinum catalyst
p. 1112-1115
The effect of water on the course of butadiene polymerization in the presence of complex cobalt catalysts
p. 1116-1119
Copolymerization of $\alpha,\beta,\beta$-halogen substituted paradivinylbenzenes with styrene
p. 1120-1122
Change of rate and direction of hydrogenolysis of methylcyclopentane by high temperature treatment
p. 1123-1126
Free-radical addition of $\mathrm{N}$-ethylacetamide to unsaturated compounds
p. 1127-1129
Solubility of water and uranyl nitrate in tributylphosphate within the $0-100^\circ$~C range
p. 1130-1132
Oxidation of tetrammineplatochloride by iodine
p. 1133-1135
The effect of the solvent on the dispersion of the optical rotation of acylaminoacids
p. 1136-1138
Polycondensation in emulsions
p. 1139-1142
Vibration spectra of ethinyl silanes
p. 1143-1145
A radiometric study of the sorption of counterions when sols of arsenic sulphide and antimony sulphide are coagulated by electrolyte mixtures
p. 1146-1148
The capacity of the double layer in molten oxides, as dependent on the temperature
p. 1149-1151
Thermodiffusive fractioning of polymer solutions
p. 1152-1154
Diffusion permeability of polymers when they are destroyed by radiation in different physical states
p. 1155-1158
The mechanism by which radiation polymerization of acrylnitryl and methylmetacrylate is effected in the presence of solid additives
p. 1159-1161
The mechanism underlying the interaction of polymers with colloidal metal particles when the latter are forming on the cathods
p. 1162-1165
Spontaneous dispersion when the free metaphase energy is strongly reduced
p. 1166-1168
Induction transmission of influence along the carbon chain as manifested in nuclear quadrupole resonance spectra
p. 1169-1171
Theoretical computation of the emf of voltaic cells with molten salt electrolytes exemplified by $\mathrm{Be}_{\mathrm{solid}}|\mathrm{BeCl}_n+\text{molten}\,\mathrm{KCl}|\mathrm{Cl}_{2(\text{gas})},\mathrm{C}_{(\text{graphite})}$
p. 1172-1175
The kinetics and mechanism of $\mathrm{K}_2\mathrm{PdBr}_4$ reduction by carbon monoxide in aqueous solutions
p. 1176-1179
Dielectric permeability of organic solvents and the thermodynamic properties of sodium iodide solutions in water,
p. 1180-1182
Поправки к~статье ``Об аналитической структуре решения мембранного уравнения'' (ДАН, т.~152, \No~1, 1963~г.)

Sommaire du Fascicule no. 6

Infinite products of Lebesgue spaces
p. 1247-1249
Horispheres in certain Grassmann manifolds
p. 1250-1253
Solution by means of Dehn's generalized algorithm of the conjugacy problem for a class of groups which coincide with their anti-centers
p. 1254-1256
Stability in a theorem of Liebmann's
p. 1257-1259
Unimodular weight functions and a problem of P.\,S.~Aleksandrov and P.\,S.~Urysohn in the theory of bicompacta
p. 1260-1263
Investigation of a differential equation of Sturm--Liouville type
p. 1264-1267
A mixed problem for an equation which cannot be solved for the highest-order time derivative
p. 1268-1270
Classification of irreducible transitive differential groups
p. 1271-1274
On the representation of continuous and differentiable functions by Fourier series in Legendre polynomials
p. 1275-1277
Production of high-speed gas jets
p. 1278-1280
Solution of problems bearing on a gently curved spherical shell in the case of multiply connected regions
p. 1281-1284
Creep under intermittent stress
p. 1285-1286
Diffraction of a plane longitudinal wave on a circular cylinder
p. 1287-1290
The possibility of X-ray emission by radiowave sources of outer space
p. 1291-1294
Asymptotic method of solving a fourth-order differential equation with two small parameters in the hydrodynamic theory of stability
p. 1295-1298
Low-temperature properties of an isotropic ferromagnetic in the case of arbitrary spin
p. 1299-1301
An investigation into the analytical properties of the scattering amplitude in the non-relativistic three-body problem
p. 1302-1305
Interaction of an intense high frequency radiation with a plasma
p. 1306-1309
Size and shape of the cross-section of formations responsible for an anomalous auto-electronic emission of organic semiconductors
p. 1310-1313
Downward convective currents
p. 1320-1323
An analogue of Duamel's integral in the case of preliminarily excited linear filtres with variable parameters
p. 1324-1326
The thermal stability of ferrocene
p. 1348-1351
The appearance of metastable hydrates when tricalcium silicate is undergoing hydration in water and in calcium chloride solutions
p. 1352-1354
Thallium chalcogenohalogenides
p. 1355-1357
On the structural orientation in the reaction of diketene with monosubstituted ureas
p. 1358-1361
Effect of the steric hindrance of phenolic hydroxyl on the equilibrium between hydroxyphenyldiazonium salts and quinodiazids
p. 1362-1364
Some regularities in the geometric thermodynamics of binary and ternary ferrocarbon alloys
p. 1365-1368
Products of interaction between quinonediazides and metal halides
p. 1369-1372
$\mathrm{O}$- and $\mathrm{S}$-alkylation of dialkylthiophosphate-anion with triethyloxonium boronfluoride
p. 1373-1375
Radiolysis of certain $\mathrm{Co}(\mathrm{III})$ complexes
p. 1376-1379
Reaction between white phosphorus and halogen alkyls as governed by ionic and radical mechanisms
p. 1380-1381
Nuclear magnetic resonance spectra of natural coumarins and furocoumarins
p. 1382-1385
Excited states of positive ions and the processes involved in a dissociative photoionization of aromatic amines
p. 1386-1389
The use of the polarographic method in determining the molecular weight of polyvinyl alcohol
p. 1390-1392
Magnetic susceptibility of cupric oxalate and cupric succinate
p. 1393-1395
An investigation of the 4197 cm$^{-1}$ absorption band of potassium ferricyanide at a high pressure
p. 1396-1398
On the structural characteristic of active charcoals
p. 1399-1400
The transition of the spin density from the paramagnetic complex onto the splitting-off ligands
p. 1401-1404
The structure and ferromagnetic resonance of nickel formiate catalysts promoting the hydrogenation of fats
p. 1405-1407
Photocatalytic oxidation of organic compounds on $\mathrm{ZnO}$, $\mathrm{TiO}_2$, $\mathrm{Al}_2\mathrm{O}_3$
p. 1408-1411
Change of vibration frequencies when nitryls are coordinated and adsorbed across a nitrogen atom
p. 1412-1415
Electrooxidation of organic substances on platinized platinum at hydrogen adsorption potentials
p. 1416-1419
Поправки к~статье ``Энергия расщепления термов молекулы водорода'' (ДАН, т.~151, \No~4, 1963~г.)