Geodesic

Sommaire du Fascicule no. 1

Phragm\'en--Lindel\"of type theorems for solutions of certain differential equations in an infinite layer
p. 9-11
A method of regularization of an extremal problem for a continuous convex functional
p. 12-15
A constructive characteristic of a certain class of square integrable functions on the sphere
p. 16-19
A localization principle for almost the whole sequence of partial sums of a Fourier series in a fundamental system of functions
p. 20-23
Cohomologies of algebras with unity
p. 24-27
An upper estimate of the lengths of the shortest homogeneous experiments in the recognition of the final state for almost all automata
p. 28-29
The stability of bases of locally convex spaces.
p. 30-33
Conditions for the existence of bounded solutions of differential equations in a Banach space
p. 34-37
Topological equivalents of Tihonov's theorem
p. 38-39
Normal solvability of nonlinear equations
p. 40-43
The dual to a subspace of a countable inductive limit
p. 44-46
On the theory of solvable linear groups
p. 47-50
Optimum questionnaires with questions of unequal value
p. 51-54
The variational principle and the equations of state for continuous media
p. 55-58
Invariant description of Maslov's canonical operator
p. 59-62
Diffraction on a bounded body
p. 63-65
Interference phenomena in the photoionization of molecules
p. 66-69
Magnetostrictional instability of parametron on a thin magnetic film
p. 70-73
The initial energy of ions as influencing the scattering of ions by crystals
p. 74-77
Entropy in non-equilibrium statistical mechanics
p. 78-81
Decomposition of the direct products of irreducible representations of space groups
p. 82-84
Investigation of coloured synthetic quartz crystals
p. 91-93

Sommaire du Fascicule no. 2

On the problem of invariance of dynamical systems
p. 263-266
The set of games on the unit square with unique solution
p. 267-269
Properties of Green's functions, and generalized solutions of elliptic boundary value problems
p. 270-273
On the theory of iteration processes
p. 274-277
Properties of sequences in locally convex spaces
p. 278-281
A certain conjecture of K.~Williams
p. 282-284
Structure of differential games
p. 285-287
The two-dimensional $\zeta$-function with real parameter
p. 288-291
On singular integral transforms in weighted $L_p$ spaces
p. 292-295
The second order periodic equation
p. 296-299
Extremal theorems for Riemannian spaces with curvature bounded from above
p. 300-302
General concave-convex games
p. 303-306
A certain property of periodic motions of a single-circuit nonlinear pulse system with an integrating network
p. 307-308
Integral invariants in hydrodynamic systems
p. 309-312
Experimental determination of the rate of propagation of long centrifugal waves formed when a flow of liquid is in progressive rotational motion
p. 313-314
Elastic-plastic stress distribution in a plane with an aperture
p. 315-317
Planetary atmosphere albedo
p. 318-320
Measurement of the quantum yield of luminescence in neodymium glass
p. 321-323
Properties of $p$--$n$ transitions in cadmium telluride
p. 324-326
The influence of pulsed electric field on the formation of a photographic latent image
p. 327-330
Some considerations about Bouguer anomalies on the oceans
p. 331-333
The velocity of longitudinal and transverse elastic waves in rocks as influenced by tensile stresses
p. 334-336
The crystal structure of synthetic $\mathrm{Na},\mathrm{Sc}$-silicate,
p. 337-340

Sommaire du Fascicule no. 3

On estimation of the remainder of a generalized Fourier series for differentiable functions of two variables
p. 511-513
$\Phi$\_-operators in locally convex spaces
p. 514-517
Pursuit time optimality
p. 518-521
Boundary value problems for elliptic-parabolic equations
p. 522-525
Implicit functions and the averaging principle of N.\,N.~Bogoljubov and N.\,M.~Krylov
p. 526-529
A certain class of nonlinear operator equations
p. 530-533
Growth estimates of the derivatives of the solutions of homogeneous elliptic equations near the the boundary
p. 534-537
The higher order approximations of N.\,N.~Bogoljubov and N.\,M.~Krylov for solutions bounded on the whole axis
p. 538-541
Periodic solutions of differential equations in a Banach space
p. 542-545
Gaussian stationary processes with asymptotically a power spectrum
p. 546-549
Bases of eigenvectors, characteristic function and interpolation problems in the Hardy space $H^2$
p. 550-553
Equivalent regularization of boundary value problems by means of potentials
p. 554-557
Homogeneous locally symmetric regions in conformal space
p. 558-561
A solution of the one-dimensional diffusion equation in a bounded region
p. 562-565
On the origin of large lunar craters and round seas
p. 566-569
Unidimensional non-linear model of anisotropic plasma instability
p. 570-573
Construction of approximate shock pressure curves for solids in hydrodynamical regions
p. 574-577
Computation of ionization instability in magnetized low-temperature plasma
p. 578-581
The existence of a diamondlike semiconductor, $\mathrm{CdGeAs}_2$, in the vitreous state
p. 582-583
Formation of the $\mathrm{N}^*(3,3)$-isobar in the $\pi^-p\to\pi^+\pi^-n$ reaction
p. 584-586
Allotropic transformation of ytterbium in layers condensed on a cold base
p. 587-588
On the correlations between the structure of the earth crust and the upper mantle, derived from magnetovariational observations and other geophysical investigations
p. 593-596
Поправки к статье ``Об осесимметрических течениях со свободной границей'' (ДАН, т.~179, \No~4, 1968~г.)

Sommaire du Fascicule no. 4

An approximation of the theory of dyadic bicompacta
p. 767-770
The uniform approximation of a monotonic solution of ill-posed problems
p. 771-773
Expansion in the eigenfunctions of second order differential equation with operator coefficients
p. 774-777
Bases from the eigenvectors of totally nonunitary contractions
p. 778-781
S.\,L.~Sobolev type elliptic problems for submanifolds with point singularities
p. 782-785
Infinite nonabelian groups with a condition of minimality for noninvariant abelian subgroups
p. 786-789
The structure of the shock wave in a simple uniatomic gas
p. 790-793
Law of gas flow through porous medium
p. 794-795
Variable plasticity and the accumulation of damage
p. 796-799
The radiation and ionization of meteors
p. 800-802
The normal form of operators in a Fock space
p. 803-806
General waveguide theory and the limit resolution of multiray spectrum analyzers
p. 807-810
Propagation of heat in plasma along the magnetic field (substitution wave)
p. 811-814
Electric resistance minimum of lutecium films
p. 815-816
The double instability of homogeneous precession in ferromagnetic resonance
p. 817-819
The parametrization method in the perturbation theory for systems with $SR$-symmetry
p. 820-823
The main spectral constants of the Raman lines of tetramethylsilane and methylchlorosilanes
p. 824-827
Equations for the Brownian motion of aerosol particles
p. 834-837

Sommaire du Fascicule no. 5

The Dirichlet problem for equations with coefficients which belong to spaces with mixed norm
p. 1023-1026
Certain properties of the positive solutions of evolutionary hypoelliptic equations
p. 1027-1030
Growth of meromorphic functions of finite lower order
p. 1031-1033
Selfadjoint extensions of differential operators in a space of vector-valued functions
p. 1034-1037
A special class of finite-dimensional subspaces of a Banach space
p. 1038-1040
Imbedding theorems for functions which are defined in unbounded regions, and their application to the spectral theory of elliptic selfadjoint operators
p. 1041-1043
Imbedding theorems and best approximations
p. 1044-1047
The limit theorem for the number of classes of primitive quadratic forms with negative determinant
p. 1048-1049
A bicompactum with noncoinciding inductive dimensions
p. 1050-1053
The minimization of a quadratic functional generated by a linear operator in normed spaces
p. 1054-1056
Function-class optimal methods of computing eigenvalues of a Fredholm integral operator
p. 1057-1060
Stability of second-order dynamic systems
p. 1061-1064
Arrangement of uniaxial regular gear mechanisms according to combinatorial schemes
p. 1065-1068
Lagrangian description of the dynamics of turbulent motion
p. 1069-1071
Scale similitude for random fields
p. 1072-1075
The asymptotic behavior of certain subsequences of eigenvalues of boundary value problems for the Helmholtz equation in higher dimensions
p. 1076-1079
Quasioptic potential in some simple models of quantum field theory
p. 1080-1083
The plastic deformation anisotropy of single $\mathrm{GaAs}$ crystals, as influenced by alloying additives
p. 1084-1087

Sommaire du Fascicule no. 6

The classical solution of the multidimensional Stefan problem
p. 1263-1266
Optimality conditions for certain classes of systems which are not solved with respect to the derivative
p. 1267-1270
The equivalence of measures which correspond to Gaussian vector-valued functions
p. 1271-1274
Certain theorems on the complexity of normal algorithms and computations
p. 1275-1276
A certain approximation theorem for analytic functions, and its applications
p. 1277-1280
The extremal property of the solutions of a certain class of hyperbolic equations
p. 1281-1283
A recurrent method for the enumeration of graphs with labelled vertices
p. 1284-1287
The large inductive dimension
p. 1288-1291
The estimation of the complexity of normal algorithms
p. 1292-1293
Efficient trajectories of a dynamic production model
p. 1294-1297
Mappings of metric spaces
p. 1298-1300
An inverse problem in the theory of diffraction
p. 1301-1303
Asymmetric mechanics of continua and avaraged description of turbulent flows
p. 1304-1307
A variational principle in the mechanics of rupture
p. 1308-1311
Magnetic relaxation in solids as influenced by the aspect of intramolecular orientational motion
p. 1312-1314
Ultrasoud velocity in argon under up to 4 kilobars pressure within $25\div200^\circ$ temperature range
p. 1315-1316
Reflections from the nucleus in atomic explosions and Earth's interior structure problems
p. 1327-1330
Поправки к~статье ``О решении одной задачи диффузии с нелинейным граничным условием'' (ДАН, т.~174, \No~2, 1967~г.)