Geodesic

Sommaire du Fascicule no. 1

50 ЛЕТ РАЗВИТИЯ СОВЕТСКОЙ НАУКИ
p. 9-10
An example of a harmonic function which is bounded outside a solid of revolution and increasing inside it
p. 11-13
Algorithmic problems for certain classes of quasigroups
p. 14-16
Representations of the group of quaternions over a disconnected locally compact continuous field
p. 17-20
Successive approximations for finding saddle points
p. 21-24
On fundamental function systems of Laplace's operator in an arbitrary region and on asymptotic estimates of the fundamental numbers
p. 25-28
Certain relations between the properties of constructive functions and of operators from quasinumbers to quasinumbers
p. 29-32
Some theorems concerning the $\operatorname{Ind}$ dimension
p. 33-36
A local relaxation theory for nonlinear equations
p. 37-39
Inversion formulas for the fundamental integral representation of $p$-analytic functions of $z=x+iy$ with characteristic $p=x^k$
p. 40-43
A general singular equation on an open contour, and a generalized Abel equation
p. 44-47
Optimal search for a root of a function computable approximately
p. 48-51
On the construction of invariant information and measuring set-ups
p. 52-55
Contact problem of elastioplasticity for plates
p. 56-58
Metal fatigue
p. 59-60
On Clebsch--Gordan coefficients of the symmetric representation of the $SU_n$ groups
p. 61-64
Holography without a reference beam
p. 65-67
Negative photomechanical effect in cadmium sulfide
p. 68-69
Vacuum quantum fluctuations in curved space and the theory of gravitation
p. 70-71
Fast electrons and X-ray radiation in the initial stage of impulse spark discharge development in the air
p. 72-73
Gas-kinetic computation of the thermal gliding velocity of a gas in the vicinity of a solid surface
p. 74-76
Propagation speed of short-period earth's electromagnetic field oscillations of the type \textit{Pc}-1 (``pearls'')
p. 85-87
Nutational migration of the Iceland minimum of atmospheric pressure
p. 88-91
The crystal structure of synthetic $\mathrm{Na},\mathrm{Zn}$-diorthosilicate
p. 92-95

Sommaire du Fascicule no. 2

Verbal subgroups of free groups
p. 255-257
Solutions exhaustive in the classes $W_2^\alpha$ and $C^{(n,\alpha)}$, of the localization problem
p. 258-260
Approximation in the mean of analytic functions of class $E_p$
p. 261-264
An extermal problem and linear methods of summation of Fourier series
p. 265-267
A weak solution of the Cauchy problem for a first order equation with two independent variables
p. 268-271
Nonselfintersecting curves on closed surfaces
p. 272-274
The structure of tensors which admit a given invariance group
p. 275-276
Integral inequalities with Volterra type operators
p. 277-280
Parabolic equations in spaces of means
p. 281-284
On the $\varepsilon$-entropy of Arzela compacta of functions defined on closed sets of positive Lebesgue measure
p. 285-287
Estimate of the complexity of modeling electric lines without losses
p. 288-290
Approximate integration of Rayleigh's equation with any nonlinearity
p. 291-294
Point explosion in a detonating gas
p. 295-298
Kinetic equations for a vortex field
p. 299-301
The group of motions of a straight line and the geometrical theory of fields
p. 302-305
Local properties of unrenormalizable theories
p. 306-309
The ESR method applied to the study of the mechanisms behind the electric conductivity of the
p. 310-313
Decay of the earth's radial oscillations
p. 318-321
Change in the residual magnetization of a magnetite bed, occasioned by explosion
p. 322-324
The thermal energy of the Earth, and its geological manifestations
p. 325-328
The crystal structure of ammonium bis-$\mu$-($d$-tartaro) distibate (III)
p. 329-332

Sommaire du Fascicule no. 3

Quasirandom vibrations of a one-dimensional oscillator
p. 495-498
The method of successive recalculation of the characteristic polynomial
p. 499-500
Some inequalities from probability theory and their application to a refinement of A.\,M.~Ljapunov's theorem
p. 501-504
The Cauchy--Riemann and the Lebesgue integrals. Intermediate integrals
p. 505-507
A locally nilpotent radical of Mal'cev algebras satisfying the $n$th Engel condition
p. 508-510
Use of a chain search in an algorithm for computer solution of a certain class of problems in a planned economy
p. 511-513
The infinite dimensional geometry of the unit sphere of a Banach space
p. 514-517
On the theorems of P.\,P.~Korovkin for convergence of sequences of linear positive operators
p. 518-520
The global structure of analytic semireducible Riemannian spaces
p. 521-523
The finiteness of the number of rational and algebraic points on certain transcendental curves
p. 524-527
Function classes quasianalytic with respect to an ordinary linear differential operator and their applications
p. 528-530
Schwarz's formula for the equation $\partial w/\partial\bar z+b\bar w=0$
p. 531-534
On the existence of a solution for generalized problems of smoothing and extrapolation of random functions
p. 535-538
Motion of a rigid sphere under the influence of an acoustic pressure wave
p. 539-541
Relation between volume and shear plastic strains with reference to shock waves in soft soils
p. 542-545
Thermodynamic relations at the surface of a strong discontinuity in an elastic medium in the case of finite deformations
p. 546-549
Effect of the thermal vibrations of single crystal lattice on the anisotropy of the sputtering ratios and the secondary ion-electron emission coefficients
p. 550-553
The possibility of unidirectional oscillation in a gaseous travelling wave laser
p. 554-556
Spectrum-time investigations into the oscillation of $\mathrm{CaF}_2:\mathrm{Sm}^{2+}$ crystal upon excitation by a ruby laser
p. 557-559
New results in the domain of deep magnetotelluric probing
p. 564-566
The Tashkent earthquake of April 26, 1966, and its repeated shocks
p. 567-570
The morphology and some properties of $\mathrm{Al}_2\mathrm{O}_3$ crystals grown from tungstate melts
p. 571-573
The crystal structure of $\mathrm{NaSmSiO}_4$
p. 574-577
Поправки к~статье ``Доверительные интервалы для функций от многих неизвестных параметров'' (ДАН, т.~169, \No~4, 1966~г.)

Sommaire du Fascicule no. 4

Quasirandom vibrations and the problem of capture in the bounded three-body problem
p. 751-754
Shimura's hypothesis for Siegel's modular group of genus~3
p. 755-758
The Cauchy problem for general linear equations
p. 759-762
Topological invariants of noncompact Lie groups connected with infinite dimensional representations
p. 763-766
A generalized Riemann--Liouville operator and some applications of it
p. 767-770
Angular boundary values of quasiconformal mappings of a sphere
p. 771-773
The reflexivity of certain unions of semiordered spaces
p. 774-777
The dimension of a product of ordered continua
p. 778-781
The Radon transform in matrix spaces and in Grassmann manifolds
p. 782-785
A nonelliptic Dirichlet problem
p. 786-789
Best uniform approximation of continuous functions by entire functions of finite degree on the whole real axis
p. 790-792
Methods of solving generalized problems of smoothing and extrapolation of random functions
p. 793-795
The asymptotic solution of equations for a controllable process
p. 796-799
On optimizing the synthesis of machines controlling automatically production processes
p. 800-803
Unsteady escape of gas in a constant gravity field
p. 804-807
Deformation of an orthotropic viscoelastic body under plane-problem conditions
p. 808-811
Diffusion of radiation when the scattering indicatrix is greatly drawn out in length
p. 812-815
The adiabatic hypothesis in axiomatic field theory
p. 816-819
The uniqueness of solutions of integral equations of the second kind for diffraction on non-closed screens
p. 820-823
Some behaviouristic features of ultralong waves in the atmosphere
p. 824-827
Determination of the maximum work in an isolated system
p. 828-831
The crystal structure of vinogradovite $\mathrm{Na}_4\mathrm{Ti}_4[\mathrm{Si}_2\mathrm{O}_6]_2[\mathrm{Si}_4\mathrm{O}_{10}]\mathrm{O}_4\cdot n\mathrm{H}_2\mathrm{O}$
p. 832-834

Sommaire du Fascicule no. 5

A priori estimates and solvability of second-order quasilinear elliptic equations in a composite region with nonlinear boundary and conjugacy condition
p. 991-994
An example of an open compact monotonic continuous mapping of a non-metrizable bicompactum onto a compactum
p. 995-996
On the basis for A.\,A.~Markov's constructive selection principle
p. 997-1000
Multiplicities of weights of representations and multiplicities of representations of semisimple Lie algebras
p. 1001-1004
A certain problem in queueing theory and a related generalization of the cylinder functions $J_k$
p. 1005-1007
Verbal and marginal subgroups of linear groups
p. 1008-1011
The Cauchy problem for an equation of the first order with respect to time, with variable coefficients
p. 1012-1014
A certain class of degenerate quasilinear equations
p. 1015-1018
An improvement in the smoothness of the functions in A.\,N.~Kolmogorov's theorem on superpositions
p. 1019-1022
The solution of word equations with three unknowns
p. 1023-1025
The construction of subgroups in finite groups
p. 1026-1029
Application of control feedback for identification and estimate of the stability margin of stochastic plants
p. 1030-1033
Generalization of a theorem of M.~Inagaki
p. 1034-1035
Equations for finite dimensional probability distributions of a field of turbulence
p. 1036-1038
Relations on surfaces of discontinuity of stress in three-dimensional perfectly rigid-plastic solids
p. 1039-1042
The fragmentation feature of meteoric bodies
p. 1043-1046
Emission currents in diode structures on gallium arsenide films
p. 1047-1049
The state equation of trinitrotoluene
p. 1050-1053
Необратимые процессы в~системе с~внутренними вращениями
p. 1054-1057
An algorithm for refining the constants of a particle moving in a hydrogen chamber with allowance for the inhomogeneity of the magnetic field and for deceleration
p. 1058-1061
Seismic turbidity of real media and the possibility of its investigation
p. 1072-1074
On the mechanism underlying the dendrite growth of crystals having a diamond structure

Sommaire du Fascicule no. 6

Extension of mappings of toplogical spaces
p. 1255-1258
A limit theorem for the number of level crossings by a stationary Gaussian process
p. 1259-1262
Certain criteria for the non-oscillation of linear differential operators
p. 1263-1264
Singular Cauchy and Tricomi problems
p. 1265-1268
A maximum principle for hyperbolic equations and its application to equations of mixed type
p. 1269-1272
A method of regularizing singular perturbations
p. 1273-1276
Regularization of the Cauchy problem for pseudo-differential equations
p. 1277-1280
An application of the method of the contour integral to the solution of mixed problems for a certain parabolic system
p. 1281-1284
Representations of a continuous group by unbounded operators
p. 1285-1288
A contribution to the theory of iteration processes
p. 1289-1291
A certain class of stochastic programming problems
p. 1292-1293
Operating stability of complex systems
p. 1294-1297
Critical state of a liquid, as investigated by means of gravitational waves
p. 1298-1301
Perturbation theory for the expansion coefficients of two-electron wave function
p. 1302-1305
Pair correlation in polycyclic molecules
p. 1306-1309
Features of critical current behaviour in wires of superconducting niobium-base alloys, as dependent on magnetic field and temperature
p. 1310-1312
Relaxation of the spin of iron in the ferromagnetic compounds of $\mathrm{MnSb}$ and $\mathrm{CrTe}$ below the
p. 1313-1315
Phase transitions and critical phenomena taking place in the Earth's shell
p. 1316-1319
Some results of magnetotelluric probing in the drift region of the North Pole-13 station
p. 1320-1323
Equations of general circulation in the upper atmosphere
p. 1324-1327
Estimate of the negative ion concentration in the $D$~region of the ionosphere
p. 1328-1329
Global gravity variations with time
p. 1330-1332
X-Ray diffraction study of double molybdate $\mathrm{KY(\mathrm{MoO}_4)}_2$
p. 1333-1336
Поправки к~статье ``Об оценках скорости сходимости некоторых проекционных методов
Поправки к~статье ``К~вопросу о~равномерном приближении функций положительными линейными операторами''