Geodesic

Sommaire du Fascicule no. 1

On the theory of dynamical systems with multi-valued and discontinuous characteristics
p. 9-11
Asymptotic representations and some estimates for integral error-functions of arbitrary order
p. 12-14
The geometry of a second-order ordinary differential equation with respect to a conformal group of transformations in two variables
p. 15-18
The eigenfunction expansion of non-selfadjoint systems of second-order differential equations
p. 19-22
An infinite-dimensional analogue of the linear programming problem and its applications to some
p. 23-26
Partially hypo-elliptic equations and polynomials
p. 27-28
The asymptotic behavior of Green’s function for an ordinary linear differential equation with variable
p. 29-32
Conditions for the semiboundedness and discreteness of the spectrum in the case of one-dimensional differential operators
p. 33-36
On the geometric theory of the simplest singular variational problem for the $(n-1)$-iterated integral
p. 37-40
On the theory of the second variation for discontinuous variational problems in space
p. 41-44
Regularity of generalized solutions of quasilinear elliptic equations
p. 45-47
On the theory of singular integral equations obeying the Fredholm alternative
p. 48-51
The realization of functions in alphabets by algorithms of certain classes
p. 52-55
A criterion for the reflexivity of a Banach space
p. 56-58
Symmetric spaces of affine connection of class~I
p. 59-61
The geometry of two second-order ordinary differential equations
p. 62-65
Regularization problem in the theory of integral equations with Cauchy kernel
p. 66-68
Reduction of periodic problems in mathematical physics to singular equations with a Cauchy kernel
p. 69-72
Boundary properties of functions of the class $W_p^{(l)}$ in regions with corners
p. 73-76
Self-simulating relativistic motion in the case of point symmetry
p. 77-80
Electromagnetic radiation of 8-mm wavelength in the region of Taurus~A
p. 81-83
On the theory of the crystal
p. 85-87
Forces acting on a small particle in an acoustic field within an ideal fluid
p. 88-91
The statistical operator for nonequilibrium systems
p. 92-95
Entropy of the distribution of dynamic variables
p. 96-99
Dispersion relations in non-local field theory
p. 100-102
Some data obtained by investigating soil samples and plants in the region of the Tungus catastrophy of 1908
p. 103-106
A new test of a hypothesis concerning the nature of magnetic declination
p. 107-110
The mechanism of ferroelectric phase transition in thiourea at $133^\circ$~К
p. 111-114
Certain features of gas-liquid chromatography of paraffins and aromatic hydrocarbons $\mathrm{C}_7$--$\mathrm{C}_{12}$
p. 115-117
Ammonolysis of 1,1-di(chlorophenyl)-ethane
p. 118-121
Polycondensation of acetone and other carbonyl containing compounds
p. 122-124
The extraction of stained complex compounds formed by reagents of the arsenazo-thoron group
p. 125-128
On the interaction of rhenium hexafluoride with metal fluorides
p. 129-132
The solution mechanism of phases in the gold-platinum system
p. 133-136
The electric negativity of the perfluorovinyl radical
p. 137-140
Kinetic conditions of burning for condensed mixtures
p. 141-144
Active intermediate states in the mechanical breakdown of polymeres
p. 145-148
Electrochemical determination of the heat of adsorption of hydrogen on dispersed palladium electrode
p. 149-152
Critical phenomena in the oxidation of hydrocarbons in the presence of inhibitors in open systems
p. 153-156
Paramagnetic electron resonance in some aqueous complexes of salts
p. 157-158
Thallium vapour pressure measurement by means of radioactive tracer technique
p. 159-161
On the nature of the quenching of chlorophyll fluorescence by nitrocompounds
p. 162-164
The limit pressure for a spontaneous propagation of the reaction zone in acetylene
p. 165-167
Specific adsorption of iodine ions on silver
p. 168-171
The kinetics of cathode processes on semiconducting electrodes involving valence zone electrones
p. 172-175
Synthetic additives of dispersing kind
p. 176-178

Sommaire du Fascicule no. 2

Certain properties of level curves under univalent conformal mappings
p. 279-280
$C'$-connections in homogeneous spaces and their completely geodesic submanifolds
p. 281-283
On certain quasilinear parabolic systems with increasing coefficients
p. 284-286
The first boundary-value problem for the non-stationary Navier--Stokes equations
p. 287-290
Multipoint difference methods for the solution of the Cauchy problem for the equation $y'=f(x,y)$
p. 291-294
Finite Hankel integral transforms
p. 295-298
$p$-conductance and theorems of imbedding certain function spaces into the space~$C$
p. 299-302
The Dirichlet problem and the first mixed problem for a parabolic equation
p. 303-306
A geometric problem in the theory of approximations
p. 307-310
Perturbation of a linear equation by a small nonlinear term
p. 311-313
On the number of simple bases of Boole's functions
p. 314-317
A boundary-value problem for Blasius's equation
p. 318-321
On the principle of local coding and the realization of functions in a certain class of networks composed of functional elements
p. 322-325
Finite automata and the logic of single-place predicates
p. 326-329
Linearization of the equations of the plane problem in the theory of an ideally plastic body
p. 330-332
The temperature distribution in a piecewise homogeneous semi-infinite plate
p. 333-336
Experimental and calculated crosssections for the reaction of $\mathrm{Bi}^{209}(p,xn)\mathrm{P}_0$ under bombardment by
p. 337-339
An investigation of $K_{\beta_5}$-bands in the x-ray spectrum of nickel when the latter is a component
p. 340-342
On the law of deformation of highly elastic polymeric bodies
p. 343-346
Dispersion relations for nucleon Compton effect
p. 347-350
Anisotropy of $I_{0^\circ}/I_{90^\circ}$ fragments resulting from the fission of $\mathrm{U}^{233}$ by 100--1000 kev neutrons
p. 351-353
A hydrodynamical study of non-stationary atmospheric processes on a planetary
p. 354-357
Certain hydrodynamic effects in unsteady currents caused solely by the wind
p. 358-360
On the study of the polarization characteristics of the light field in turbid media
p. 361-363
The synthesis of polymeres of regular structure in the polydimethylsiloxane series
p. 365-367
Synthesis and certain properties of polytetracyanethylene
p. 368-370
New conditions for synthesis involving $\mathrm{PtCl_4^{2-}}$ ions
p. 371-373
Spectrophotometry study of the composition and structure of bromide and iodide complexes of cobalt
p. 374-376
Dehydration of cycloaliphatic $\alpha$-ketols in the cyclohexane and $\Delta^3$-cyclohexene series
p. 377-380
Alkylation of paradichlorobenzene, parachlorobromobenzene and paradibromobenzene by
p. 381-383
Addition of hydrosilanes to allylamine
p. 384-386
The synthesis of optically active depsipeptides
p. 387-390
The thermodynamic properties of cobalt antimonides as investigated by the method of electromotive forces
p. 391-393
The capacitance of the double electric layer in $\mathrm{N}$-methylformamide
p. 394-397
The effect of lyophile colloids on the solubilization of hydrocarbons in detergent solutions
p. 398-400
The nature of the surface of catalytically active aluminium oxide
p. 401-404
The mechanism of chain branching in liquid phase methyl ethyl ketone oxidation
p. 405-408
A model of unsteady burning
p. 409-411
The dynamics of unsteady physico-chemical processes in a flow when the rate of the process is subjected to bimolecular law
p. 412-415
A polarographic study of the mechanism underlying the electrochemic reduction of simple and complex nickel ions
p. 416-418
Electron-paramagnetic resonance spectra of $\gamma$-rayed acetylene and its derivatives
p. 419-422

Sommaire du Fascicule no. 3

Extremal problems in the theory of polynomial operators (non-periodic case)
p. 519-521
Approximative compactness and Chebyshev sets
p. 522-524
The absolute minimum of functionals on a set of functions with bounded derivative
p. 525-528
Binary case of an additive problem with squares of primes
p. 529-532
The problem of inelastic scattering
p. 533-535
An exact method for evaluating certain integrals with a Cauchy kernel
p. 536-539
The configuration of $(n-1)$-spheres in the $n$-sphere
p. 540-542
On the continuity of the Nemyckii operator in Orlicz spaces
p. 543-545
Experimental investigations of the influence of vibration on the resistance to conveyance
p. 546-548
On the stability of rods and plates under conditions of creep
p. 549-552
Conditions for the solvability of a boundary value problem relative to the heat conduction equation
p. 553-556
Nonstationary distribution of waves in the region of the geometric shadow in an inhomogeneous medium
p. 557-559
The fine structure of titanium x-ray absorption.$K$-spectra in $\mathrm{TiC}$--$\mathrm{TiN}$ solid solutions
p. 560-562
Logarithmic criterion for superconductivity
p. 563-566
Hydrodynamische theorie des klimas und der langfristigen wetterprognose
p. 571-574
The use of radar in studying the structure of clouds
p. 575-578
Relationship between the fluctuation spectrum of a radiolocation signal and the motion of scatterers in meteorological objects
p. 579-582
The speed and energy of the Tungusk meteorite
p. 583-586
Electromagnetic sounding of the earth deep layers
p. 587-590
The use of elliptically polarized radiowaves in the study of clouds and precipitates
p. 591-594
Triethyl tin peroxide
p. 595-597
Synthesis of polymeres with charged heteroatoms in macromolecular chains (onic polymerization)
p. 598-600
The synthesis of phosphocyanindyes
p. 601-604
Complex dicarbonate of uranyl
p. 605-606
Asymmetric three carbon condensations with indandione-1,3
p. 607-609
The synthesis of proline and substituted pyrrolidine carboxylic acids via furan derivatives
p. 610-613
Polymerization of heptane-I on the $\mathrm{Al}$(\textit{iso}-$\mathrm{C}_4\mathrm{H}_9)_3
p. 614-616
Carbocyclization of the 1,6 anhydrides of $D$-glucose and $D$-idose
p. 617-619
The hydrolytic decomposition of titanium tetrachloride and its products
p. 620-622
Interaction of ethylene oxide with carbon sulphide
p. 623-625
Ketonization of $\mathrm{CH}_3\mathrm{COOH}$ over $\mathrm{CdO}$ and $\mathrm{MgO}$ and the
p. 626-629
Curves of differential capacitance in $\mathrm{K}_4\mathrm{Fe}(\mathrm{CN})_6$ solutions
p. 630-633
Specific activity of nickel catalysts and thiophene adsorption
p. 634-636
On the quasistationarv theory of heat explosion
p. 637-640
Some features of the electrode behaviour of glass containing two acid (glass forming) oxides
p. 641-643
Some regularities of chemical interaction expressed by the law of mass action
p. 644-647
Поправки к~статье ``Об одном признаке специальности $\pi d$-групп'' (ДАН, т.~138, \No~2, 1961~г.)
Поправки к~статье ``О~краевой задаче для уравнения $\Delta U=U^2$ (ДАН, т.~138, \No~2, 1961~г.)

Sommaire du Fascicule no. 4

On the imbedding theorem for abstract functions
p. 743-745
Topological and asymptotic equivalence of systems of differential equations
p. 746-747
The best uniform approximation in certain classes of continuous functions
p. 748-751
Convergence to infinity of a sequence of continuous functions
p. 752-754
Some theorems on zeros and extremal properties of entire functions
p. 755-758
Analytic solutions of some non-linear integral equations
p. 759-762
An error estimate for the numerical solution of a linear integral equation
p. 763-765
The fundamental problem of non-Riemannian geometry in a binary region
p. 766-768
Conditional Markov processes in problems of mathematical statistics and dynamic programming
p. 769-772
Approximation of functions by polynomials with integral coefficients
p. 773-775
On the stability of thick, rectangular, freely supported plates under the action of compressive loads
p. 776-779
The Lamb problem for an internal source
p. 780-782
Diurnal and seasonal oscillations of a faraway field of long radiowaves
p. 783-786
The external radiation belt about the earth at an altitude of 320 kilometers
p. 787-790
Complex refraction in single cuprous oxide crystals
p. 791-793
Anisotropy of Messbauer's effect
p. 794-796
Electron distribution over kinetic energies in the photoionization of methyl derivatives of benzene
p. 797-800
Some features of light absorption in inhomogeneous plasma
p. 801-804
Radioisotopic analysis of rocks and soils from the energy spectrum of $\gamma$-rays in the bottom layer of the atmosphere
p. 807-810
The structure of barium silicates
p. 811-814
5-Oxy-5-indandione-1,3-yl(2)-barbituric acid
p. 815-817
Reactions involving ``hot'' methyl radicals in the solid phase at low temperatures
p. 818-821
Saturated vapour pressure of the disulfide, dioxide and trioxide of rhenium
p. 822-824
Separate and joint polymerization of isoprene under the action of
p. 825-828
Continuous solid solutions of metalloids $\mathrm{Ti}_3\mathrm{Al}$--$\mathrm{Ti}_3\mathrm{Sn}$
p. 829-831
The use of ammonium phosphorotungstate in the ion-exchange separation of rubidium and cesium
p. 832-834
Thermal decomposition of the reaction products in the addition of trialkylphosphites to diacetyl
p. 835-836
The synthesis of silicon, germanium- or tin-containing parasubstituted styrenes and of $\alpha$-methylstyrenes
p. 837-840
Phosphorus-containing esters of acrylic and methacrylic acids
p. 841-843
Hydrogenation of unsaturated compounds in equilibrium on metal catalysts of the platinum group
p. 844-846
Triple complexes of methyl-lithium
p. 847-850
The synthesis of phospholipids which contain residues of higher polyene aliphatic acids
p. 851-854
New data on the behavior of zirconium and hafnium oxynitrates in aqueous solutions and in some organic solvents
p. 855-858
Reciprocal influence of reacting molecules at the surface of dehydration catalysts
p. 859-862
Dehydrogenation of cyclohexane on certain carbides borides and silicides
p. 863-866
The stability of burning of porous explosives
p. 867-869
Polarization curve for anode solution of germanium when the semiconductor is of finite length
p. 870-873
De-emulsifying effect of surface-active substances and the structure-mechanical properties of their adsorption layers
p. 874-876

Sommaire du Fascicule no. 5

The bending of surfaces of positive curvature under certain boundary conditions
p. 987-989
Some well-posed problems for the ultrahyperbolic and wave equations with data on the characteristic cone
p. 990-993
Sufficient conditions for optimality
p. 994-997
Boundary-value problems for quasi-linear parabolic systems of equations
p. 998-1001
Some fundamental inequalities in the theory of orthogonal polynomials
p. 1002-1004
The multiplicative semigroups of rings
p. 1005-1007
Separatrices of plane dynamic systems
p. 1008-1010
Unimodular representations of the four group
p. 1011-1014
On the theory of hypo-elliptic and partially hypo-elliptic operators
p. 1015-1018
Radicals in group pairs
p. 1019-1022
Some propositions on regularization of linear operators in Banach spaces
p. 1023-1025
Semigroups of one-to-one transformations
p. 1026-1028
On the distribution of prime ideals
p. 1029-1032
The equations of relativistic radiation hydrodynamics
p. 1033-1036
A mass-spectrometer investigation of how the photoionization efficiency of benzene
p. 1037-1040
The discovery of an internal radiation belt at an altitude of 320 km in the
p. 1041-1044
Energy spectra in the case of beta rays crossing a substance
p. 1045-1047
Preliminary results from studying the Sun's x-ray emission by means of rockets
p. 1058-1061
Ionosphere ionization at night (corpuscular hypothesis)
p. 1062-1065
Crystal structure of rubidium di(meta)-fluoroberillate $\mathrm{RbBe}_2\mathrm{F}_5$
p. 1066-1069
The kinetics of accumulation of the products formed in liquid-phase oxidation of cumene
p. 1070-1072
Syntheses in the domain of 5-nitrofuryl-2-polyalkenals and 5-nitrofuryl-2-polyalkenones.
p. 1073-1075
Interaction between alkali and trans-$(\mathrm{Pten}_2\mathrm{Cl}_2)\mathrm{Cl}_2$
p. 1076-1078
Some features in the kinetics of styrene polymerization initiated by the tertiary butyl peroxide and by tertiary butyl perbenzoate
p. 1079-1082
Full synthesis of soya oil triglycerides
p. 1083-1086
On the formation оf glass microcrystal structures
p. 1087-1089
Dehydration of primary dodecyl alcohol over magnesium sulphate
p. 1090-1092
The electric conductivity of chelate polymers
p. 1093-1095
Oxidation of $\beta$-naphthol and some of its derivatives by peroxide compounds
p. 1096-1099
Detection of $\mathrm{HO}_2$ radicals by means of electron paramagnetic resonance
p. 1100-1101
An investigation into the mechanism of the rectifying action on an oxidized zirconium electrode
p. 1102-1105
On the biradical paradox
p. 1106-1109
Inhibition of catalyst surface reactions and the mobility of the adsorbed molecules
p. 1110-1113
On the theory of auto-oscillations in passivation free electrochemical systems with a falling characteristic
p. 1114-1117
The effect of the physico-chemical nature of a lubricant on its efficiency in pressure processing of metals
p. 1118-1120
Kinetics of carbon surface growth in the thermal decomposition of methane within $1400-1700^\circ$~С
p. 1121-1124
Chemical reactions under chromatography conditions
p. 1125-1127
Dispersity and stability of emulsions stabilized by solid emulsifiers
p. 1128-1131
Thermal transformations of certain rubbers as investigated by the method of thermomechanical curves
p. 1132-1135
The influence of paramagnetic admixtures on the nuclear magnetic resonance spectra in certain organic substances
p. 1136-1137
Поправки к статье ``К~теории мультипликативных групп тел'' (ДАН, т.~137, \No~1, 1961~г.)

Sommaire du Fascicule no. 6

Approximation of continuous functions by superpositions of plane waves
p. 1237-1240
Geodesic surfaces in manifolds of affine connection with complex structure
p. 1241-1243
Dependence upon the boundary of the solution of the mixed problem for a parabolic equation
p. 1244-1247
Analytic solutions of a class of partial differential equations
p. 1248-1251
Integral equations for the periodic solutions of Whittaker's equation
p. 1252-1254
The construction of transient solutions of non-linear equations
p. 1255-1258
Level lines of the solution to an elliptic equation
p. 1259-1262
Compact topological spaces
p. 1263-1266
The length and area principle for $Q$-quasiconformal mappings
p. 1267-1269
Conjugate functions and singular Cauchy integrals
p. 1270-1273
Certain properties of code systems
p. 1274-1277
A new analogy in mechanics
p. 1278-1280
Quasiperiodical settling of precipitates upon mutual diffusion of two substances (Liesegang rings)
p. 1281-1284
Stark's effect on exciton levels in a cadmium sulfide crystal
p. 1285-1288
Minimum arc discharge potentials and the two forms of an arc with a cold cathode
p. 1289-1292
The mechanism of the deformation and orientation of quartz in tectonites
p. 1304-1306
Production of high purity hydrocarbons by means of heat displacing chromatography
p. 1307-1309
On the ways of synthesizing regular organic polymers containing an inorganic element and having a space structure
p. 1310-1313
Certain features in the interaction of uranous-uranic oxide with acids
p. 1314-1316
Transformations of phenyl radicals in solution, as investigated by the isotopic and mass-spectrometer method
p. 1317-1320
The state of the water in a chlorophyll molecule
p. 1321-1323
Some regularities in the oxidation of polymethyl-siloxane rubber
p. 1324-1326
Isotopic analysis of nitrogen by the method of electron paramagnetic resonance
p. 1327-1329
Complete synthesis of 2,5,7,8-tetramethyl-2-(4,8,12-trimethyltridecyl)-6-oxychromane (vitamine E, $\alpha$-tocopherol)
p. 1330-1333
The $n$-dimethylaminophenylmercury derivatives of oxyazocompounds and quinone phenylhydrazones
p. 1334-1337
Equilibrium conditions in the reduction of nickel ferrite by hydrogen
p. 1338-1340
Dispersion of the rotation of cedrane series compounds
p. 1341-1344
Radiation method of synthesizing new derivatives of heterocyclic compounds
p. 1345-1347
Thermal stability and initiating activity of diacyl peroxides of phenylcarboxylic and paraffin acids
p. 1348-1351
Oxidation, reduction and disproportionation of polyfluoronitrosoalkanes
p. 1352-1355
The limit pressure for the explosion of gaseous hydronitrous acid as a function of the spark impulse power
p. 1356-1357
The explosion method and the heats of formation of $\mathrm{CF}_4$, $\mathrm{CF}_3\mathrm{Cl}$,
p. 1358-1360
Equilibrium distribution of tritium in hydrogen isotopic exchange
p. 1361-1363
Photoionization of ethers and carbonyls of metals in the gaseous phase
p. 1364-1367
Formation of amalgams of iron-group metals on a dropping mercury electrode
p. 1368-1371
Some general inequalities of chemical thermodynamics
p. 1372-1375
Formation of acetylene on adiabatic compression of methane
p. 1376-1379
Radiation transformations of iron ions in $\mathrm{HClO}_4$ solutions-saturated with hydrogen and oxygen under pressure
p. 1380-1383
Письмо в~редакцию
p. 1235-1236