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1966, Volume 171, Number 6  


MATHEMATICS
The method of differential descent for the solution of multi-dimensional variational problems
S. I. Alber, Ya. I. Al'ber
1247
Double Stieltjes operator integrals and problems on multipliers
M. Sh. Birman, M. Z. Solomyak
1251
Conditions on a set which are necessary and sufficient in order that any continuous function, analytic at its interior points, admit uniform approximation by rational fractions
A. G. Vitushkin
1255
Rational points of a class of algebraic curves
V. A. Dem'yanenko
1259
Conditions for optimality of systems containing links with distributed parameters
A. I. Egorov
1261
Parabolic equations with continuous coefficients
A. M. Il'in
1264
Approximation of ergodic dynamical systems by periodic transformations
A. B. Katok, A. M. Stepin
1268
On higher order logic
S. R. Kogalovskii
1272
The Tricomi problem for the elliptic-hyperbolic Euler–Poisson–Darboux equation
Yu. M. Krikunov
1275
Three linearized inverse problems for hyperbolic equations
M. M. Lavrent'ev, V. G. Romanov
1279
Application of the inverse method for establishing deducibility to the theory of decidable fragments in the classical predicate calculus
S. Yu. Maslov
1282
Gaussian linear functionals in countably-Hilbertian space
Yu. A. Rozanov
1286
Some function-theoretic sieve methods in the theory of numbers
T. Paul
1289

MECHANICS
Sommerfeld's effect in a system whose natural frequency is varying at random
M. F. Dimentberg, K. V. Frolov
1293

AERODYNAMICS
Calculation of surfaces in the space method of characteristics
K. M. Magomedov
1297

PHYSICS
The influence of the active zone boundary on the spectral composition of induced radiation
Ch. K. Mukhtarov
1301
The gas laser as a source of illumination
I. V. Obreimov
1305

GEOPHYSICS
The heat flow across the bottom of lake Baikal
E. A. Lyubimova, V. A. Shelyagin
1321

CRYSTALLOGRAPHY
The crystal structure of synthetic $\mathrm{Na}$-zinc silicate, $\mathrm{Na}_2\mathrm{ZnSiO}_4$
V. V. Ilyukhin, A. V. Nikitin, N. V. Belov
1325

Поправки к статье “О характеристической температуре взвесей” (ДАН, т. 163, № 6, 1965 г.)
L. A. Dikarev
Поправки к статье “О полюсах и радиусе круговой однолистности мероморфного класса $\Phi$” (ДАН, т. 168, № 3, 1966 г.)
Pavel Todorov
 
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