Geodesic

Sommaire du Fascicule no. 1

Cauchy directions and extensions of regular spaces
p. 9-12
Comparison of the complexity of impasse d.n.f. and minimal d.n.f.
p. 13-16
Non-negative additive functionals of Markov processes
p. 17-20
The method of averaging
p. 21-24
Some transformations of the fundamental equations in the theory of surfaces
p. 25-27
Solvability of the Dirichlet and Neumann problems for a linear elliptic operator with discontinuous coefficients
p. 28-30
The principle problem of the calculus of variations for the simplest functional on a set of discontinuous functions
p. 31-34
Regular convex surfaces with a regular metric in Lobachevsky space
p. 35-38
Perfect bicompact extensions
p. 39-41
On the theory of the multiplicative groups of division rings
p. 42-44
Uniform estimates of the derivatives of the solutions of the Dirichlet and eigenfunction problems for the operator
p. 45-47
Two-phase supersonic flows
Features characteristic of the NGC 4486 radio-waves
p. 49-50
On the problem of the angular distribution in multiple processes
p. 51-53
On the possibility of decreasing the value of ionization fluctuations in gases
p. 54-57
Anisotropy of the cathode dissipation of single crystals
p. 58-59
Low-frequency infrared absorption spectrum of the hydrogen bond in liquid water and aqua compounds
p. 60-63
Sensitivity of the polydispersion scattering function to the shape of the distribution curve
p. 64-67
Hydrodynamical long-range forecasting of the anomalies of the air vertical velocity over the Northern Hemisphere
p. 72-75
The application of a complete system of thermo-hydrodynamic equations to short-term
p. 76-78
Movement of glaciers
p. 79-82
Nitration of some $\alpha$, $\beta$-unsaturated aldehydes and ketones in the furan series
p. 83-86
On the stability of complex compounds of bivalent platinum
p. 87-90
Separation of asymmetric arsonium compounds into optically active antipodes
p. 91-93
Separation of the components of an alloy when there is temperature difference
p. 94-95
The proton mobility of hydrogen atoms in acetyl chloride
p. 96-98
Comparative dehydrogenation ability of some diarylpicrylhydrazyl radicals
p. 99-101
Reactions of halogen derivatives of ethyl- and acetyl-ferrocene
p. 102-105
The sulfuration of acyl and carbmethoxyl derivatives of ferrocene
p. 106-108
Refinement of the values of constants in Tataevskii's scheme for the calculation of the burning temperature of alkanes
p. 109-110
Synthesis of monoatomic saturated alcohols and tertiary acetyl alcohols in the ferrocene series
p. 111-112
The initiation of polymerization by electric charges arising at the phase separation boundary
p. 113-115
The interaction of valence-unbound carbon and hydrogen atoms
p. 116-119
Reaction rate constant of $\mathrm{HO}_2+\mathrm{H}_2\mathrm{O}=\mathrm{H}_2\mathrm{O}_2+\mathrm{OH}$
p. 120-122
On the nature of the fluctuation bands of boric acid
p. 123-125
Relation between the $\mathrm{H}_2\mathrm{O}_2$ isolated and the quantity of
p. 126-129
Поправки к~статье ``Устойчивость подкрепленной кольцами цилиндрической оболочки при действии внешнего давления''
Поправки к~статье ``К нелинейной теории нестационарного ветра склонов'' (ДАН, т.~133, \No~6, 1960~г.)

Sommaire du Fascicule no. 2

The stability of the equilibrium position of a Hamiltonian system of ordinary differential equations in the general elliptic case
p. 255-257
An iterative method of solving the problem of linear programming
p. 258-260
The set of solutions of a linear differential equation
p. 261-264
Certain properties of summation methods
p. 265-267
Spatio-temporal integrals related to some differential equations and systems
p. 268-271
A system of classical eigenfunctions of a linear self-adjoint elliptic operator with discontinuous coefficients
p. 272-275
A problem of I.\,M.~Gel'fand
p. 276-277
On isomorphic representations of rings and groups
p. 278-281
Isometric immersion in the large of a two-dimensional Riemannian manifold into a three-dimensional one
p. 282-283
Special kinds of $T$-pairs of congruence
p. 284-286
Quadratic mean and arithmetic mean
p. 287-290
An algorithm for establishing the identity of words in a nilpotent product of groups each given by a finite number
p. 291-294
The principle of nonlocal search in automatic optimization systems
p. 295-298
The motion of the surface separating two viscous liquids in a narrow crevice
p. 299-302
Some exact solutions of the equations of nonsteady motion in magnetohydrodynamics
p. 303-306
A new source of centimetre radio-waves
p. 307-309
Canonical operator transformation in representation of secondary quantization
p. 311-314
Rayleigh light scattering in carbon tetrachloride solutions of acetone
p. 315-318
Ionization in the terrestrial atmosphere and the energy of Sun's short-wave ultraviolet radiation
p. 327-330
Conversion of furan-series amines to pyrrolidine homologues
p. 331-332
Nitroethers of $\mathrm{C}$-substituted carbohydrates
p. 333-334
Some features of the electrodeposition of metals from solutions of extraordinary purity
p. 335-337
Organosilicon monomers with fluorine-containing cyclobutyl rings
p. 338-340
Regrouping in the process of homolitic addition of hydrogen bromide to polyhalogenalkenes
p. 341-344
On the theory of $I-t$-curves in the reduction of anions on a drop electrode with catalyst adsorption
p. 345-348
On the nature of the induction period in the auto-oxidation of fats and fatty acids
p. 349-351
Polani's rule for proton transitions and the hydrogen bond
p. 352-355
A spectrophotometry study of zirconium chloride solutions in connection with the adsorption of zirconium on fluoroplast-4
p. 356-358
Iodine transfer mechanism with internal diffusion kinetics of iodine adsorption on charcoals from various solvents
p. 359-362

Sommaire du Fascicule no. 3

On the coefficients of a certain class of analytic functions of two complex variables
p. 495-498
Over-convergence and non-continuability of series of functions
p. 499-501
Solution of a system of quasilinear equations having divergence form, under periodic boundary conditions
p. 502-505
On the number of subgroups of a finite abelian group
p. 506-508
Generalization of Hilbert's theorem on surfaces of constant negative curvature
p. 509-512
Estimates of trigonometric sums of a special form, and their applications
p. 513-514
The existence of solutions of a certain class of non-linear integral equations
p. 515-518
Riesz nuclear scales
p. 519-522
Convergence of certain difference schemes
p. 523-526
Formulas for mechanical cubatures in $n$-dimensional space
p. 527-530
Linear methods of approximation to continuous periodic functions of two variables
p. 531-532
Intrinsic characterization of spaces topologically complete in the sense of E.~\v Cech
p. 533-536
Symmetric motion of a perfect liquid as obtained from its rotation as a solid body
p. 537-540
Transient conditions of gas flow in mains
p. 541-544
The basic laws of motion of hydro- and aero-mixtures in pipes
p. 545-548
Paramagnetic resonance on copper conduction electrons
p. 549-550
$\mathrm{Ir}^{183}$, a new isotope
p. 551-552
The ``scattering'' of charged quasiparticles on singular points in $\mathbf{p}$-space
p. 553-556
Rapid variations of the rotation period of the second Soviet artificial earth satellite with respect to the transverse axis
p. 572-575
Magnetohydrodynamic effects in the ocean
p. 576-579
Wave flux constants as determined from the constants of periodic bottom structures formed by the flux
p. 580-583
On the crystal texture of indium selenide $\mathrm{In}_2\mathrm{Se}_3$
p. 584-587
An investigation of bicyclic terpenes and their oxides by means of proton magnetic resonance
p. 589-592
The composition and structure of titanium compounds with chromium
p. 593-596
On exchange between irradiated metal platinum and complex bivalent platinum ions in aqueous solutions
p. 597-598
Metallic compounds in the $\alpha$-solid solution region of the titanium~-- aluminium system
p. 599-602
Relationship between the unsaturated condition and the autooxidation rate in mixtures of triglycerides derived from natural fats
p. 603-605
Order of addition of lithium to diphenyl
p. 606-608
The effects of oxygen and water on the hydrogenation and isomerization activity of tungsten-sulphide catalysts
p. 609-611
Solubility of potassium ozonide in liquified ammonia (the $\mathrm{NH}_3$ -- $\mathrm{KO}_3$ system)
p. 612-613
The $n$-dimethylaminophenylmercury derivatives of nitrosoanilines and nitrosonaphthylamines
p. 614-617
Reaction of acyl peroxides with organic derivatives of lead, tin and silicon
p. 618-621
Catalytic synthesis of 2-$n$-propyl-4-alkyltetrahydrofurans
p. 622-623
Changes in the spectral distribution of the proper and sensibilized photoeffect in silver halides following to a slight exposure to light
p. 624-627
Dehydration of cyclohexanol over magnesium sulphate and calcium chloride
p. 628-630
Some relations in quantitative thermography
p. 631-633
The mechanism of ozone formation in the electrolysis of concentrated chloric acid solution
p. 634-637
On the nature of the interaction between a benzene molecule and a hydroxyl group
p. 638-641
The influence of chlorine ions on the electrochemical and corrosion behaviour of zirconium
p. 642-645
The electric properties of the hexaborides of alkali-earth and rare-earth metals and thorium
p. 646-647
Mobility of atoms on the surface of crystals at melting temperature
p. 648-651

Sommaire du Fascicule no. 4

Perturbation of the spectrum of a singular elliptic operator under variation of the boundary and boundary conditions
p. 761-763
Equivalence of some unbounded operators in Banach space
p. 764-767
A property of the solution of a hypoelliptic equation
p. 768-771
Groups with finite classes of conjugate subgroups with a given property
p. 772-773
The general form of the solution of a homogeneous differential equation with constant coefficients
p. 774-777
On the interpolation of functions of $n$~variables
p. 778-781
Divergence of Fourier series
p. 782-785
Divergent Fourier series of class $L^p$ ($p\ge2$)
p. 786-789
Locally complete topological spaces
p. 790-792
Some problems concerning the completeness of systems
p. 793-796
Stability of solutions of an equation in a Banach space
p. 797-799
Continuous additive functionals of Markov processes and excessive functions
p. 800-803
Algorithmic solvability of isomorphism problems for automata
p. 804-806
Penetration of an arbitrary pressure into a compressible fluid in the isentropic case
p. 807-809
On the structure of slow magnetohydrodynamic shock waves in the barotropic case
p. 810-813
An analysis of the distribution of interstellar polarization in Cygnus
p. 814-817
A formal definition of $R$-operations
p. 818-821
Regarding some singularities in the transverse propagation of high frequency waves in magnetoactive plasma
p. 822-825
Division of antimony nuclei by fast protons
p. 826-829
The fine structure of the scattered light Rayleigh line and the velocity of hyperacoustic oscillations in water
p. 830-832
Infringement of Boltzmann's distribution in the process of thermal dissociation of molecules
p. 833-835
Quantum-mechanical theory of absorption and luminescence spectra from compound molecules
p. 836-839
Cosmic ray outbursts of November 12--15, 1960
p. 844-847
Certain features of secular variations in magnetic field over the ocean
p. 848-851
Luminescence spectra of diamonds from the pipe ``Mir''
p. 852-854
Diethyl ether of 1-ethoxycyclohexane-1-phosphinic-2 acid
p. 855-858
An investigation of the nature of a chemical compound in the $\mathrm{Ti}$ -- $\mathrm{Si}$ system
p. 859-861
On quantitative estimation of the influence produced by substituents on the polarographic reduction
p. 862-865
A method of toluene-$\mathrm{C}^{14}$ cleavage for determining the position of the label in the nucleus
p. 866-868
The radiation-kinetic method for the estimation of ultrasmall quantities of polonium
p. 869-872
Interaction of nitrobenzenediazonium borofluorides with phosphorus trichloride
p. 873-875
The mechanism underlying the interaction of silicon hydrides with organohalogenides in the gaseous phase
p. 876-879
The use of neutron activation analysis for the estimation of tungsten in minerals and ore dressing products
p. 880-881
The formation of solid solutions by tricalcium and tristrontium silicates
p. 882-884
Telomerization and polymerization of ethylene with silicon hydrides in the presence of titaniumtetrachloride
p. 885-888
Mechanical and structural properties of protein fibre
p. 889-892
Catalysis on organic semiconductors obtained from polyacrylonitryl by thermal treatment
p. 893-895
Adsorption of hydrogen ions on negatively charged mercury-electrolyte boundary
p. 896-899
The kinetics of electrode processes and the spontaneous solution mechanism of $n$-germanium
p. 900-903
The influence of the adsorbed halogens on the work function of electrons in iron
p. 904-907
Поправки к~статье ``Реакции дифенилртути с~бензолом'' (ДАН, т.~135, \No~2, 1960~г.)

Sommaire du Fascicule no. 5

Non-trivial solutions of the Dirichlet problem for equations with Monge--Amp\`ere operator
p. 1007-1010
Remark on the Schr\"odinger equation with singular potential
p. 1011-1014
Certain boundary-value problems for elliptic equations with strong degeneration at the boundary
p. 1015-1018
Cohomology of groups of units in algebras with division
p. 1019-1021
Higher approximations in averaging
p. 1022-1025
Periodically correlated random sequences
p. 1026-1029
Distribution of values of meromorphic functions with separated zeroes and poles
p. 1030-1033
On the theory of triangular representations of nonselfadjoint operators
p. 1034-1037
Certain types of invariant systems of simplest structure
p. 1038-1041
Random walk on groups with a finite number of generators
p. 1042-1045
Spectral functions of certain classes of stationary Gaussian processes
p. 1046-1048
The solution of the first boundary problem in the large for a quasilinear parabolic equation
p. 1049-1052
Tricomi’s singular problems in the neighborhood of a finite and infinite singular line
p. 1053-1056
Some estimates of solutions of second-order elliptic equations
p. 1057-1059
The existence of periodic solutions of certain non-linear systems
p. 1060-1062
Simple subgroups of simply connected real simple Lie groups
p. 1063-1066
On the geometry of cones in Banach space
p. 1067-1070
Rounding errors in numerical solutions of systems of simultaneous linear equations by Cholesky's
p. 1071-1073
Absolute convergence of multiple Fourier series
p. 1074-1077
On the synthesis of $\mathfrak{R}$-circuits
p. 1078-1081
On the motion of a body of variable mass with constant expenditure of power in a gravitational field
p. 1082-1085
Stability of orthotropic plates with stepwise variable stiffness
p. 1086-1089
Broadening of hydrogen lines in the plasma of an arc and a shock tube
p. 1091-1094
The effect of elastic relaxation stresses on the crystallization of very viscous liquids
p. 1095-1097
Molecular ions in the upper atmosphere
p. 1098-1101
Nitrogen ions in the upper atmosphere and the ionization of the region at night
p. 1102-1105
Inquiry into the ways of constructing a ring system of BA tetracyclines. The synthesis of esters of
p. 1106-1109
The 2-$\beta$-oxyethyl-2-phenylindandion-1,3
p. 1110-1112
An optic investigation of conformations of 2-methyl-1-oxycvclohexvlethylene oxides
p. 1113-1116
Some results of an X-ray study of ferrocene and its derivatives
p. 1117-1120
Manifestation of pseudohalogen properties by a trifluoromethyl group linked with a carbon atom
p. 1121-1124
Thermal alkylation of cyclohexane by olefins under pressure
p. 1125-1128
Addition of trichlorbromomethane to compounds defined by the general formula $\mathrm{R}(\mathrm{C}_6\mathrm{H}_5)_2\mathrm{ECH}=\mathrm{CH}_2$ (whore $\mathrm{R}=\mathrm{C}_6\mathrm{H}_5$, $\mathrm{CH}_3$; $\mathrm{E}=\mathrm{Sn},\mathrm{Si},\mathrm{C})$
p. 1129-1132
Homolytic isomerization of 2-bromo-3,3-dichlorobutene-1
p. 1133-1136
Autoxidation of the alkyl derivatives and halogen derivatives of 1,1-diphenylethane and isopropylbenzene
p. 1137-1140
The role of convection in the burning of condensed fuel mixtures
p. 1141-1143
The statics of ion mixture exchange
p. 1144-1146
The use of high pressure in studying collective interaction in polymerization processes
p. 1147-1148
The kinetics of the electrolytic reduction of iron on a dropping mercury electrode
p. 1149-1152
Nuclear magnetic resonance spectra of perfluorooctadiene and perfluorododecadiene when irradiated
p. 1153-1154
The effect of polymorphism on thermal conductivity
p. 1155-1157
Concerning the action of surface active substances on the solution kinetics of calcium carbonate in
p. 1158-1161

Sommaire du Fascicule no. 6

Propagation of Rayleigh waves along the surface of a homogeneous elastic body of arbitrary shape
p. 1263-1266
Crossed products of a semigroup and a ring
p. 1267-1269
Generalized Abel theorems
p. 1270-1273
Characteristic classes for finite groups
p. 1274-1277
Distortion in quasiconformal mappings
p. 1278-1279
An integral inequality and the corresponding imbedding theorem
p. 1280-1282
Approximation of functions in the spaces $\widetilde{W}_p^{(l)}(D)$ and $W_p^{(l)}(D)$ by continuously differentiable functions
p. 1283-1286
Singular Goursat problems in a neighborhood of a singular characteristic at zero and at infinity
p. 1287-1290
The Galois group of a local field
p. 1291-1294
Some spaces with affine connection admitting motions
p. 1295-1298
New versions and new uses of the dispersion methods in binary additive problems
p. 1299-1302
Some properties of automorphisms of nilpotent groups
p. 1303-1306
Isometric transformations of punctured convex surfaces
p. 1307-1308
General form of the linear differential equations whose order is reduced by the generalized differentiation operator $D^\alpha$
p. 1309-1311
An invariant transformation of Riemannian spaces with common geodesics
p. 1312-1314
An analogue of the Fortet--Kac theorem
p. 1315-1318
Some uniqueness theorems for functions subharmonic and meromorphic in the unit circle
p. 1319-1322
The solution of boundary-value problems with complicated boundary conditions by using results for simple boundary-value problems
p. 1323-1326
Semieuclidean and seminoneuclidean spaces
p. 1327-1330
On a model of a cavitating liquid
p. 1331-1333
Distribution of heterocharge and field in photoelectrets
p. 1335-1338
On the determination of the total moment of a system of $n$~particles
p. 1339-1342
Acoustic radiation from a turbulent flow in the presence of elastic boundaries
p. 1343-1346
Plane sound wave of finite amplitude in a moving medium
p. 1347-1349
$\beta$-Decay of strongly deformed nuclei
p. 1350-1353
On the structure of liquid water
p. 1354-1355
The structure of the complex compounds of tin chloride with esters
p. 1357-1360
The intersection of stable and non-equilibrium tetrahedra in a mutual seven-component system of $\mathrm{Li}$, $\mathrm{Na}$,
p. 1361-1363
The system composed of arsenates and carbonates of copper and sodium
p. 1364-1367
The synthesis of organoantimony acrylates and metacrylates capable of polymerization
p. 1368-1369
The production and some optical and magnetic properties of polyferrocenes
p. 1370-1373
Dipole moments of imidazole and its derivatives
p. 1374-1376
Inquiry into the methods of synthesizing the peptide portion of ergoalkaloids
p. 1377-1380
An investigation of isomeric octalines
p. 1381-1384
Homolytic isomerization of 1-fluoro-1,1-dichlor-2-bromopropene
p. 1385-1388
Secondary aromatic polynuclear structure of lignin
p. 1389-1392
6-Azacytidine and its derivatives
p. 1393-1395
The use of the flow method in studying the kinetics of the catalytic oxidation of propylene to acrolein
p. 1396-1398
Thermodynamic properties of iron-tellurium alloys in the solid state
p. 1399-1401
An investigation of the mechanism underlying the anode formation of ozone from sulfuric acid solutions
p. 1402-1404
The influence of the magnetic field on the motion of particles in electrolyte solutions
p. 1405-1408
Interaction between weak pressure waves and the flame front
p. 1409-1412
Spread of mercury over a free zinc surface, as connected with the study of strength reduction by adsorption
p. 1413-1415
The manifestation of autonomy by electron groupings in the luminescence spectra of complex molecules
p. 1416-1419
The kinetics of diphenyl-$m$-tolyl carbinol reduction by isopropyl alcohol through hydride transition in the $\mathrm{H}_2\mathrm{SO}_4$ -- $\mathrm{H}_2\mathrm{O}$ system
p. 1420-1423
Замечание к~статье ``О~невозможности построения линейного полиномиального оператора, дающего приближение порядка наилучшего''