Geodesic

Sommaire du Fascicule no. 1

Essential variables of functions of the algebra of logic
p. 9-10
Additive set functions continuous in a direction
p. 11-13
Generalization of a problem of Schaeffer--Duffin to finite functionals
p. 14-17
Sufficient conditions for the optimality of discrete control systems
p. 18-21
Inverse method of establishing deducibility for non-prenex formulas of predicate calculus
p. 22-25
Analytic capacity and the Cauchy integral
p. 26-29
Invariant coverings of subgroups
p. 30-32
Rings of operations and spectral sequences of Adams type in extraordinary cohomology theories. $U$-cobordism and $K$-theory
p. 33-36
Extraction of the square root from anticommutative spinors
p. 37-39
Unitary and orthogonal invariants of matrices
p. 40-43
Elliptic (co)boundary morphisms
p. 44-47
Proof of non-isomorphism of spaces of smooth functions on a segment and on a square
p. 48-51
Groups with complemented nonnormal subgroups
p. 52-53
Existence of a countable set of periodic motions in a four-dimensional space in an extended neighborhood of a saddle-focus
p. 54-57
The substitution groups of the representations of groups $G_2$ and $SU_3$
p. 58-60
Method of rectifying the fronts for many-front one-dimensional Stefan-type problems
p. 61-64
The anisotropy of the angular distribution and the structural nature of the energy distribution of ions scattered by the surface of a single crystal
p. 65-68
A contribution to the theory of relaxation under the influence of a random external field
p. 69-72
A note on mass formulas in the theory of unitary symmetry
p. 73-75
Artificial production of a Ballas type diamond
Enquiry into the spectral dependence of the photoionization of sensibilizing centres in cadmium sulfide
p. 77-79
The energy structure of the cascade of collisions between like particles in a decelerating medium
p. 80-82

Sommaire du Fascicule no. 2

Verbal subgroups of free groups
p. 255-257
General boundary conditions for Markov processes with a countable set of states
p. 258-261
On the admissibility of Monte-Carlo methods
p. 262-263
Positive periodic solutions of a class of differential equations of second order
p. 264-266
Fundamental solutions of singular partial differential equations with variable coefficients
p. 267-270
$T$-invariance of the coefficients of quasi-linear hyperbolic equations
p. 271-274
Degenerating quasi-linear elliptic equations and systems
p. 275-278
Utilization of arithmetic progressions of $k$ th order for construction of bases of an algebra of primitively-recursive functions
p. 279-282
Oblique derivative problem in three-dimensional space
p. 283-286
Unicellularity and non-unicellularity of weighted shift operators
p. 287-290
Test of a multi-dimensional polynomial hypothesis
p. 291-293
Approximation by elements of convex sets
p. 294-297
Existence of a countable set of periodic motions in a neighborhood of a homoclinic curve
p. 298-301
Certain imbeddings of ordered groups
p. 302-305
Variation principle of dynamics in the linear theory of elasticity
p. 306-308
Two-photon absorption in the $\mathrm{CaF}_2:\mathrm{Ho}^{3+}$ crystal
p. 309-312
X-Ray diffraction study of the iodine crystal structure at high pressure
p. 313-316
Spectroscopic investigation of the gas discharge in the case of argon ion optical quantum generators
p. 317-319
Electromagnetic waves in the general relativity
p. 320-321
Hydrodynamic equations in the theory of superconduction
p. 322-325
Momentum and energy of gravitational waves
p. 326-329
A contribution to the theory of dislocations in two atomic rows model of crystal
p. 330-333
Prognostication of the temperature in the interior part of the Earth
p. 338-340

Sommaire du Fascicule no. 3

On the question of conformal mapping of circular regions
p. 511-513
A generalization of the power moment problem
p. 514-517
Uniformly non-elliptic systems of singular integro-differential equations on compact manifolds
p. 518-520
On a problem of G.~Szeg\"o, M.~Kac, G.~Baxter and I.~Hirschman
p. 521-523
The neighborhood of a singular point of a system of differential equations with small non-linearities
p. 524-526
On the richness of the class of quasiconformal mappings of regions in three-dimensional Euclidean space
p. 527-528
Conditions for the applicability of a class of computational algorithms
p. 529-532
Half-space potentials for equations of motion of a rotating fluid
p. 533-536
Certain questions of the approximation of functions by algebraic polynomials with respect to an integral metric
p. 537-540
Certain results in set-theoretic topology
p. 541-542
Determination of the regularity of automata from their canonical equations
p. 543-546
Rarefied gas flow past a sphere
p. 547-549
On the problem of a plane symmetrical flow past a smooth convex airfoil profile with a detached shock wave
p. 550-553
The probability distribution of the square of temperature difference at two points of a turbulent flow
p. 554-557
Asymptotic law of propagation of a plane detonation wave
p. 558-560
Vibrations of sandwich beams
p. 561-564
Waves and noises in the positive column plasma at low pressure
p. 565-568
Local approximation in the electrodynamics of London's superconductors
p. 569-571
Refinement of the crystal structure of diparatolyldisulfide
p. 584-587
The structure of the oxide films obtained by bombarding the surface of silicon with oxygen ions
p. 588-590

Sommaire du Fascicule no. 4

Discontinuous problem of linear conjugacy for analytic functions on Riemann surfaces
p. 751-754
Mean values of the support function
p. 755-758
Uniformly non-coercive problems for elliptic equations
p. 759-762
On the indicator of functions of integral order, analytic and of completely regular growth in a half-plane
p. 763-766
An application of Cebysev polynomials orthonormalized on a system of equidistant points for solving integral equations of the first kind
p. 767-770
Extremally disconnected bicompacta
p. 771-774
On finite-to-one mappings
p. 775-778
Non-linear groups of transformations defined by general norms of Jordan algebras
p. 779-782
Finite differences method of solution of degenerating elliptic and parabolic equations
p. 783-786
On the question of uniform approximation of functions by positive linear operators
p. 787-788
Duality of functors in the category of locally convex spaces
p. 789-791
Generalization of a theorem of A.\,N.~Kolmogorov on points of local topologicalness and its consequences
p. 792-794
Averaging in systems of differential equations, unsolvable with respect to the derivative
p. 795-797
On the finite differences method of solution of non-linear boundary value problems
p. 798-800
Vibrations of an unbounded laminated plate in a gas flow
p. 801-804
The structure of the Tungus outer space body and the possibility of thermal explosion
p. 805-808
Interaction between triplet excitons and the excited molecules of an impurity
p. 809-812
Multiple collisions in the scattering of ions by crystals
p. 813-816
Automodel solution of the problem of the recombinational decay of plasma
p. 817-819
Annual variations of the cosmic rays and intensity variation of cosmic radiation as a function of the earth's heliolatitude
p. 833-836

Sommaire du Fascicule no. 5

Density hypothesis of E.~Bombieri
p. 999-1000
Solvability or unsolvability of certain formally-logical calculi
p. 1001-1002
Periodic solutions of certain non-linear differential equations
p. 1003-1006
Dual problems of convex and fractionally-convex programming in function spaces
p. 1007-1010
Arithmetic sums of recursively-projective sets
p. 1011-1013
Algebras with division over the field of real numbers
p. 1014-1017
Banach lattices of Calder\'on
p. 1018-1020
Motions close to a doubly asymptotic motion
p. 1021-1024
Solvability conditions for a class of pseudo-differential equations
p. 1025-1027
On the growth of the function $\Phi(r_1,\dots,r_n)$, convex with respect to $\ln r_1,\dots,\ln r_n$
p. 1028-1031
Topological properties of partially ordered dynamical systems
p. 1032-1035
Metric automorphisms with a simple spectrum
p. 1036-1038
Optimal training algorithms for automatic systems with nonideal trainers
p. 1039-1042
Unsteady vibrations of a free sandwich strip
p. 1043-1045
Electron temperature in stellar shells containing high energy electrons
p. 1046-1048
The parameters of the Tungus outer space body as estimated on new evidence
p. 1049-1052
The dispersion of elastic oscillations in the crystal lattice of potassium chloride, iais determined from the diffusive X-ray scattering
p. 1053-1056
On the relative role of direct and indirect transitions in optical absorption
p. 1057-1058
Non-exponential law of decay, and interference experiments
p. 1059-1062
Gallium glass investigated by means of electron-spin resonance
p. 1063-1065
Long range effect of active centres at crystal surfaces
p. 1069-1071
The electrolysis of synthetic quartz containing a structureless impurity
p. 1072-1074

Sommaire du Fascicule no. 6

On a one-parameter scheme for the approximation of functions
p. 1247-1250
General integral representations of holomorphic functions
p. 1251-1253
Correct spaces
p. 1254-1257
Classes of uniqueness of solution of the Cauchy problem
p. 1258-1261
Estimates of the Green's matrix for a homogeneous parabolic boundary value problem
p. 1262-1265
Estimation of the difference of two matrizants
p. 1266-1269
Dynamical pursuit game
p. 1270-1272
The distance between ``neighboring'' prime ideals
p. 1273-1275
On a class of finitely presented groups
p. 1276-1277
The Cauchy problem and boundary value problem for linear and quasi-linear degenerating hyperbolic equations of second order
p. 1278-1281
On the equation $\Delta U[x(t)]+P[x(t)]U[x(t)]=0$ in a function space
p. 1282-1285
Elliptic equations in unbounded regions
p. 1286-1289
Separable divisors of the order of a group
p. 1290-1292
Regularization of statistical dynamics problems for automatic control systems
p. 1293-1295
Variational principles in the dynamics of the theory of shells
p. 1296-1298
Interparticle interference upon light scattering by submicron-inhomogeneous glass
p. 1299-1302
On the systematics of electron states of uranyl compounds
p. 1303-1304
Magnetic field distribution in a coaxial plasma injector
p. 1305-1308
Energy exchange in the interaction of atoms with the surface of an ideal crystal
p. 1309-1311
Numerical solution to the problem of distribution of semidiurnal tidal waves ($M_2$ and $S_2$) in the World Ocean
p. 1315-1317
Magnetic proton resonance, and the position of hydrogen atoms in native edingtonite
p. 1318-1320
Electron-microscope examination of synthetic quartz with structureless admixture
p. 1321-1322