Geodesic

Sommaire du Fascicule no. 1

Energy inequalities for some classes of equations of mixed type
p. 9-12
Formulas for traces for a singular Sturm--Liouville differential operator
p. 13-16
Concerning a method of solution of the Poincar\'e problem for analytic functions
p. 17-19
On general systems of differential equations
p. 20-23
Conjugate nets with parabolic congruences of axes
p. 24-27
On connection formulas for singular Tricomi problems
p. 28-31
An estimate of the resolvents of singular elliptic operators
p. 32-35
The Cauchy problem in the large for certain non-linear first order differential equations
p. 36-39
The scattering problem for non-stationary perturbations
p. 40-43
Determination of the group of a linear second-order differential equation
p. 44-47
On the relation of the growth of a meromorphic function to the distribution of its values according to their arguments
p. 48-51
Cohomologies of complex homogeneous manifolds
p. 52-55
Some remarks on the asymptotic behavior of the solutions of difference equations
p. 56-59
Properties of $W_p^r$ classes with a fractional derivative on differentiable manifolds
p. 60-62
The asymptotic behavior of the Green’s function in the Cauchy problem for systems correct in the sense
p. 63-66
Systems of ordinary differential equations with explicit periodic dependence on the argument
p. 67-70
The use of number theoretic methods of integration in the case of non-periodic functions
p. 71-74
Many-valued linear operators in a locally convex space
p. 75-77
A device for the investigation of street-traffic control algorithms
p. 78-81
Class of connecting-rod curves
p. 82-84
Radioastronomic observations of the second Soviet space rocket
p. 85-88
A possible estimate of the temperature of hot stars from the character of their N III emission spectrum
p. 89-90
Uniqueness of the solution to Fredholm's integral equations of the first kind in antenna theory
p. 91-94
Numerical solution to the equation of the magnetic field in iron with allowance saturation
p. 95-97
Optical anisotropy of cubic crystals produced by dispersion in space. Quadrupole excitonic absorption of light in cuprous oxide
p. 98-101
The effect of neutron bombardment on the magnetization curve of silicon iron single crystals
p. 102-103
The structure of the electrostatic field in the free atmosphere from the evidence obtained
p. 104-107
Electron diffraction pattern investigation of $\mathrm{Fe}_3\mathrm{O}_4$
p. 110-113
On the structure of 2-para-nitrodiphenylindandione-1,3
p. 115-118
Combustion heats of 1,1-dimethyl-2-alkylcyclopropanes
p. 119-122
Interaction of fluorolefines with nitrozyl fluoride
p. 123-126
A new method of synthesizing 2,2,6,6-tetraalkyltetrahydropyrandiones-3,5
p. 127-129
Space configuration of stereoisomeric 1,4-diisopropylcyclohexanes
p. 130-133
Polarographic behaviour of sodium, potassium and lithium boronhydrides
p. 134-137
Cis-and trans-1-haloidbutadienes and their relation to diene synthesis
p. 138-140
New ethers of dithiocarbamic acids
p. 141-144
Interaction between dialkylphosphorous acids and quinones
p. 145-148
Interaction of silicon hydrides with acrylonitryl in the presence of iron pentacarbonyl and nickel chloride
p. 149-152
Synthesis and transformations of trialkylsilylethinylvinylalkyl ethers
p. 153-156
More data on the equilibrium of the ethyl alcohol synthesis
p. 157-159
Determination of the electron density distribution in crystals
p. 160-163
The mechanisms underlying the effects of neutral electrolytes on the cohesion of particles in a coagulation structure
p. 164-167

Sommaire du Fascicule no. 2

Approximation of periodic functions of many variables by trigonometric polynomials
p. 247-250
Embedding theorems for a region with zero salient points
p. 251-253
On the problem of isomorphism of lattices
p. 254-256
Simultaneous reduction of a pair of bilinear forms to canonical form
p. 257-259
Simplification algorithms for disjunctive normal forms
p. 260-263
A class of singular integro-differential equations
p. 264-267
The behaviour of solutions to Cauchy problem with time increasing indefinitely in the case of quasilinear equations
p. 268-271
Completeness theorem for a class of automata without feedback couplings
p. 272-274
Summation of series over the main vectors of non-selfadjoined operators
p. 275-278
Mixed problem with a skew derivative for a second order parabolic equation
p. 279-282
On the growth of entire functions that admit a certain estimate from below
p. 283-286
Best approximations with the-weight on a straight line
p. 287-290
A solution of a mixed problem for a parabolic system using the method of potentials
p. 291-294
Regularization and the problem of division
p. 295-298
Pseudonormal correlation and its various generalizations
p. 299-302
Approximation of functions with a given modulus of smoothness on the exterior of a segment and on a half-axis
p. 303-306
Numerical integration of equations for a laminar boundary layer
p. 307-310
Perviousness of porous media to gasified fluid
p. 311-314
Magnetic field and current density fluctuations in a turbulent flow of a conducting fluid
p. 315-318
Finite difference scheme of solution of primitive equations tor short range weather forecasting and quasi-geostrophic relations
p. 319-322
The structure of products formed by additions of aromatic amines to cadmium halogenides
p. 336-338
Equilibrium diagram for $\mathrm{Ni}$--$\mathrm{NiAl}$--$\mathrm{Mo}$ alloys
p. 339-342
Catalytic dehydrogenation of isopropylbenzene
p. 343-345
Thiosulphoacid esters, as new fungicides
p. 346-348
Production of vinyl phenols in the catalytic cracking of some dioxydiarylalkanes
p. 349-352
On the connection between the crystallization of aldehydes and the formation from them of polymeres
p. 353-356
Regrouping of $\alpha$, $\alpha$-difluoroalkylazides
p. 357-359
The production of new types of linear isomeres by polyrecombination
p. 360-363
Some cases of a reaction involving redistribution of radicals in organic lead, tin and silicon compounds
p. 364-366
The structure and catalytic properties of chromosilica-gel catalysts
p. 367-370
Nitration of paraoxydiphenyldimethylmethane acetate in the presence of urea
p. 371-373
The formation of unsaturated organosilicon compounds when silicohydrides interact with defines
p. 374-377
New ways of hexafluoroplatinate production. Fluorination by chloritrofluoride
p. 378-379
An investigation of the gel-formation ability of aluminium oleates in benzene
p. 380-383
The kinetics of vapour-phase hydration of ethylene on a phosphorus-acid catalyst
p. 384-387
Autooscillations in the reduction of the $\mathrm{S}_2\mathrm{O}_8^{2-}$ anion on mercury
p. 388-391
On the viscosity of suspensions
p. 392-394
The mechanism of intermolecular energy exchange on diatomic gas dissociation
p. 395-398
The influence of some surface semiconductivity properties on the interaction of xanthate with galena
p. 399-401
Spontaneous crystallization of dissociated salts
p. 402-405
The action of highenergy electrons on complex compounds of platinum
p. 406-408
Investigation of anode processes involved in the formation of cracks in metals by corrosion
p. 409-412

Sommaire du Fascicule no. 3

External bases of sets lying in bicompacta
p. 495-496
On the spaces of linear operators
p. 497-500
Theorems on an implicit abstract analytic function
p. 501-503
On the impossibility of constructing minimal disjunctive normal forms for functions of the algebra of logic in a single class of algorithms
p. 504-506
Ergodic classes of recurrent motions
p. 507-509
On the notion of normal space scale
p. 510-513
Boundary properties of functions from ``weight'' classes
p. 514-517
Almost periodic functions in the spectral analysis of operators
p. 518-520
Alphabet coding
p. 521-523
basis from root vectors of a dissipative operator
p. 524-527
The conditions for proper solvability in the large of a class of equations with constant coefficients
p. 528-530
Periodical, almost periodical and bounded solutions to differential equation $dx/dt=f(t,x)$
p. 531-534
On Monge--Amp\`ere strongly elliptic equations
p. 535-536
Periodic solution of a system of ordinary differential equations with a small parameter in the terms containing derivatives
p. 537-540
$RI^*$-solvable radical of groups
p. 541-544
Fundamental equations for the flow of homogeneous fluids through fissured rocks
p. 545-548
On the motion of an axially symmetrical solid in space about a stationary point under the action of moments slowly varying with time
p. 549-552
Design of gasified liquid flows with a two-parameter characteristic of permeabilities
p. 553-556
Anisotropy of the galvanometric effect in the $n$-type germanium crystal at temperatures confined within the transient
p. 557-560
Extension of Gorkov's method to the case of electron-phonon interaction
p. 561-564
A model thermodynamic theory of desoxyribonucleic acid polycondensation
p. 565-567
Free energy computation for a gas of small density
p. 568-571
The catalytic activity of metals as related to their nature
p. 577-580
Optical investigation of geometric and rotation isomerism of some dienes
p. 581-584
Thermal dehydrogenation of 2,5-dihydrofurans
p. 585-586
On the symmetry of complex compounds
p. 587-590
The kinetic features of isopropylxylene autooxidation in the liquid phase
p. 591-594
Oxidation of cyclohexanol by ozonized oxygen
p. 595-597
Absorption spectra of dimethylaminostyryl derivatives of acridine in nitrobenzene
p. 598-601
A new regrouping of trigalogenacetohydroxamic acid
p. 602-605
Homolytic addition of hydrogen bromide to 1-fluoro-1,1-dichloropropene
p. 606-608
An investigation of the anthranil regrouping mechanism by means of the oxygen isotope $\mathrm{O}^{18}$
p. 609-611
Arbusov's regrouping of the vinyl ethers of phosphorous and phenylphosphinic acids
p. 612-614
Some derivatives of-1-thionaphthenone-3-dioxide-1
p. 615-618
On the features of effect of silyl groups. The chlorination of alkylchlorosilicon hydrides
p. 619-622
Hydrolysis of para-nitrophenyl ethers of glycine, glycylglycine and diglycylglycine and their carbobenzoxy derivatives
p. 623-625
On the tautomerism of amides
p. 626-627
Interaction of unsaturated nitrocompounds with organic bases
p. 628-631
Ionization potentials of organic dyes and a number of complex molecules in the gaseous phase
p. 632-635
Cathode process in the electrodeposition of titanium from aqueous solutions
p. 636-638
Anode passivation of zinc in alkaline solutions
p. 639-642
The effect of radioactive radiation from a solid on its solution processes
p. 643-645
Поправки к~статье ``Классификация фосфоритов'' (ДАН, т.~128, \No~6, 1959~г.)

Sommaire du Fascicule no. 4

Congruence of centroidal geodesic curves of a metric space of line elements
p. 735-738
Numerical continuation of the solution to a problem with initial conditions for ordinary differential equations
p. 739-742
General representation of solutions to axially symmetrical stationary problem
p. 743-746
Expansion in special biorthogonal systems and boundary value problems for fractional-order differential equations
p. 747-750
The Dirichlet problem for one class of elliptic systems
p. 751-753
The converse problem of dispersion for equations with a singularity
p. 754-757
Area principle in the problem of non-overlapping regions
p. 758-761
Semidirect product of cyclic $p$-groups
p. 762-765
The lower estimate of the rate at which the distribution of sums approaches a set of indefinitely divisible laws
p. 766-768
Characteristic correlation functions and their use in the theory of stationary Markoff processes
p. 769-772
Functions of many variables with rapidly convergent Haar series
p. 773-776
On the expansion in eigenfunctions of a non-selfadjoint differential operator of arbitrary even order on the $[0,\infty)$ half-axis
p. 777-780
The solution of Dirichlet problem on a plane for second order elliptic type of equation by expansion into series
p. 781-784
Surface melting of a semiinfinite body in plane and axially symmetric incompressible gas flow
p. 785-788
Existence of a weak solution to the direct problem in the theory of sonic flow past a profile in first approximation
p. 789-792
Galvanomagnetic phenomena in $n$-$\mathrm{InSb}$ in magnetic pulse fields
p. 793-796
Exchange interaction of inner and outer electrons in transition metals
p. 797-800
On the number of $3d$-electrons in transition metals
p. 801-802
Variation of the elastic constants of quartz filaments in response to gamma radiation from cobalt 60
p. 803-805
An experimental investigation of the frequency spectra of the wind velocity vertical component in the bottom layer of the atmosphere
p. 806-809
On the relation between the velocities of modern vertical motion of the earth crust, geophysical fields, and geostructural elements
p. 810-813
Some cases of microseismic excitation in the Atlantic and Pacific oceans
p. 814-817
On the theory of unbalanced capture of admixtures during crystal growth
p. 818-821
Reactions of aldehydes and ketones with phosphorous acid amides
p. 823-825
A physico-chemical investigation of the processes involved in the formation of furfural-aniline resins
p. 826-828
New synthesis of phytoi
p. 829-831
Hydrogenation of 2-methylbutene-1 in the presence of platinum black in deuterated alcohol
p. 832-835
Cancerolytic peptides of directional activity
p. 836-838
Catalytic condensations of Schiff's bases from 4-aminodiphenyl and aromatic aldehydes with aliphoaromatic ketones
p. 839-841
Phosphorylation of chlorovinylketones. Primary products formed in the reaction of phosphorus pentachloride with enolacetates
p. 842-845
Isomerization of tetranitroalkanes
p. 846-849
Selectivity towards optical isomers in the action of adsorbents formed in the presence of bacteria
p. 850-852
Ferrocenelsulfinic acids
p. 853-856
An investigation of the crystallization temperatures of bicyclo-(2,2,1)-heptadiene-2,5 and cycloheptatriene, and their mixtures
p. 857-860
Catalytic conversion of 2-alkyl-5-acylfurans to alkylphenols
p. 861-863
Determination of the reaction rate constant when atomic oxigen reacts with molecular hydrogen
p. 864-867
The structure of an electric double layer on platinum
p. 868-871
Platinum electrode potential in an irradiated sulphuric acid solution
p. 872-875
Statistical thermodynamic calculation of the adsorption equilibrium of argon on graphite
p. 876-879
The effect of radiation on the potential of a platinum electrode in a sulphuric acid solution
p. 880-883
Reciprocal influence of adsorbed particles
p. 884-887
Поправки к статье ``$o$-Оксибензолсульфиновая кислота~-- новый аналитический реактив и структурный

Sommaire du Fascicule no. 5

$\varepsilon$-Entropy of certain classes of functions
p. 977-979
On the identity of the dimension $\operatorname{ind}G$ and $\dim G$ for locally bicompact groups
p. 980-981
Approximation of a certain class of periodical functions of many variables by trigonometric polynomials
p. 982-985
The spectrum of a certain operator and Dirichlet's problem for the equation
p. 986-989
Lacunae of non-hyperbolic equations
p. 990-993
On the general theory of biorthogonal kernels
p. 994-997
Lie derivative and differential equations of the field of a geometric object
p. 998-1001
Some interpolation problems in the $H_p$ class for $p1$
p. 1002-1004
Mixed boundary value problems for singular hyperbolic equations
p. 1005-1008
Properties and calculation of optimal coefficients
p. 1009-1012
On the twin prime hypothesis of the theory of primes by the method of I.\,M.~Vinogradov
p. 1013-1015
Evaluation of the error involved in the method of nets for Neuman's two-dimensional problem
p. 1016-1018
On convexity of the region in which the solution of a differential equation of infinite order is regular
p. 1019-1022
Conditions for closedness of the contraction of a self-adjoint operator
p. 1023-1026
On the tensor product of the representations of the supplementary series of the Lorentz characteristic group
p. 1027-1030
Some problems in the topology of manifolds, connected with the theory of Toma spaces
p. 1031-1034
The coincidence of various definitions of dimensionality for locally bicompact groups
p. 1035-1037
On the Riemann problem on closed Riemann surfaces
p. 1038-1040
Accurate estimate of the error of multidimensional quadrature formulas for functions of class $S_p$
p. 1041-1044
On the theory of quasiconformal mappings in space
p. 1045-1048
Constructing the algorithm of an independent grammatical analysis of the Russian language
p. 1049-1050
Relationship between the law of decay and the first order moment of energy distribution
p. 1051-1054
On the superconduction theory
p. 1055-1058
Ionized gas and high energy electrons in the vicinity of the Earth and in the interplanetary space
p. 1062-1065
The constancy of the activity product for simple (hydrated) metal ions and hydroxyl ions in the
p. 1067-1070
The hydrolysis kinetics of some complex compounds of $\mathrm{Pt(IV)}$
p. 1071-1073
Reduction of magnesium ferrite by hydrogen and graphite
p. 1074-1077
Some transformations of cyclododecatriene-1,5,9
p. 1078-1081
The structure of some products formed in the reaction of aluminium alkyls with titanium halides
p. 1082-1085
The influence of the time factor on the composition-heat resistance diagram of five-component
p. 1086-1089
A potentiometric method for the titration of acids by quaternary ammonium bases
p. 1090-1092
Production of diferrocenyl accordiny to Ulman
p. 1093-1094
Addition of lithium dialkylphosphides to vinylacetylene hydrocarbons
p. 1095-1098
Interaction of silicon hydrides with $\alpha$- and $\beta$-chloronaphthalene and $n$-dichlorobenzene.
p. 1099-1102
The composition of the products and the kinetics of butane cracking initiated by adding ethylene oxide
p. 1103-1106
The mechanism of pseudoionone cyclization
p. 1107-1110
Comparative hydrogenation of sodium propylate on $\mathrm{Pt}$, $\mathrm{Pd}$ and $\mathrm{Ni}$ catalysts
p. 1111-1113
An investigation of the mechanism of formation of high molecular tungsten compounds by
p. 1114-1117
Vinyl compounds in diene synthesis. The stereospecific directivity of the diene synthesis of vinyl aryl
p. 1118-1121
The mechanism of spontaneous protection of magnesium against oxidation
p. 1122-1124
Catalytic oxidation of propylene and acrolein on copper
p. 1125-1128
Explosive decomposition of nitrous oxide
p. 1129-1131
The effects of benzene vapour adsorption on the electric conductivity of platinum films of various surface density
p. 1132-1135
Excitation energy transfer and sensibilization of chemical reactions on the radiolysis of organic disulphide solutions
p. 1136-1139
Electric properties of systems composed of polymeres and metals
p. 1140-1143
Variation of the diffusion coefficient with the quantity of adsorption on activated charcoal
p. 1144-1147
Distillation kinetics in a supercooled system
p. 1148-1151
The thermodynamics of isobutylene protonization
p. 1152-1155

Sommaire du Fascicule no. 6

On a non-linear boundary-value problem of Riemann type
p. 1227-1230
On certain classes of spaces of infinitely differentiable functions
p. 1231-1234
Embedding of an additive category into a category with direct products
p. 1235-1237
The spectral equivalence of two operators generated by a certain class of Sobolev's differential equation systems
p. 1238-1241
Initial jump for nonlinear differential equations containing a small parameter
p. 1242-1245
Boundary value problems for invariant elliptic systems
p. 1246-1249
The problem of moments and the biorthogonalization of kernels
p. 1250-1253
Some properties of the distribution corresponding to equation
p. 1254-1257
Distribution of $k$-twins of primes
p. 1258-1260
Projective and projective-metric displacements in manifolds with affine connection and in Riemannian spaces
p. 1261-1264
Structure of a ring of continuous functions on a circle with two generators
p. 1265-1268
Normal spaces as images of zero-dimensional ones
p. 1269-1272
Explicit expression of the forms of connection of a quasisymmetric space in terms of the values of the curvature
p. 1273-1276
On domains of univalence of certain classes of analytic functions
p. 1277-1279
Defining relations of finite semigroups of partial transformations
p. 1280-1282
An algorithmic description of a process of musical composition
p. 1283-1286
A system of programming concepts
p. 1287-1290
A new principle for the construction of a memory device
p. 1291-1294
A rapid refinement of secular equation roots by Maiants's method
p. 1295-1298
The photoconductivity kinetics of phthalcyanins
p. 1299-1302
Determination of electron concentration in the ionosphere from the rotation of the plane of polarization
p. 1311-1313
An enquiry into the catalytic properties of pyrophosphoric manganese
p. 1315-1318
Production of malonic acid and its ethers by means of carbon suboxide
p. 1319-1321
Transfer of the influence of substituents by various conjugate systems
p. 1322-1324
Microbiologic deacetylation of corticosteroid 21-acetates
p. 1325-1326
Free energy of $\mathrm{KJ}$ in ethanol and acetone
p. 1327-1328
The effect of solids on the decomposition of $\mathrm{CCl}_4$ in an aqueous solution under the action of $\gamma$-rays
p. 1329-1331
Photoionization of carbonyl-group containing compounds in vaporous state
p. 1332-1334
Determination of reaction rate constants for elementary reactions of hydrogen atoms with hydrocarbons
p. 1335-1338
An electromagnetic method for measuring the speed oi explosion products
p. 1339-1340
The influence of pressure on the rate of laminar burning and on that of turbulent burning
p. 1341-1343
The mechanism of the heterogeneous exchange of acetone and $\mathrm{H}_2\mathrm{O}$ in the gaseous phase
p. 1344-1347
On the possibility of increasing hydroperoxide yield when cumene oxidation is initiated by hydrogen peroxide
p. 1348-1351
Polarographic catalytic hydrogen waves and the adsorption of the catalyst
p. 1352-1355
Synthesis of specific silica gels by modification of their surface
p. 1356-1359
The role of subsiduary electric current carriers in the anodic dissolution of germanium electrode
p. 1360-1363
Some features of the crystallization of eutectic alloys with a high speed of cooling
p. 1364-1367
The mechanism of oxygen overvoltage variation with time on a nickel anode at a constant current density
p. 1368-1371
The nature of the hydrogen bond and its influence on the electron diffraction spectra of molecules
p. 1372-1375
Dipole moments of some halogenpolynitroalkanes
p. 1376-1377
Поправки к~статье (ДАН, т.~128, \No~3, 1959~г.)