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1968, Volume 179, Number 4  


MATHEMATICS
On the problem of extending positive linear functionals
I. A. Bakhtin
759
Lacunary systems
B. E. Veits
762
The Dirichlet problem for multidimensional second order elliptic systems
V. S. Vinogradov
766
The construction of extremal trigonometric polynomials of mixed type
E. V. Voronovskaya
768
Axially symmetrical flows with a free boundary
A. Iglicov
772
$\mathrm{SL}$-isomorphism of a lattice-ordered group
K. M. Kutyev
775
The basis structure of a $B$-space and properties of the sphere which are invariant relative to isomorphisms
V. D. Milman
779
A priori estimates of solutions of the Dirichlet problem for certain hypoelliptic equations
M. D. Ramazanov
783

CYBERNETICS AND THE REGULATION THEORY
A problem of nonconvex programming
S. I. Zukhovitskii, R. A. Polyak, M. E. Primak
786
The topological principles of self-correction
É. I. Nechiporuk
790

AERODYNAMICS
Velocity field excited by a shock wave incident upon a stationary thin symmetric body
E. A. Krasil'shchikova
794

FLUID MECHANICS
Boundary layer equation in the two-dimensional theory of ocean flows
A. G. Zarubin
798

MATHEMATICAL PHYSICS
A first-order equation for the gravitational field
F. I. Fedorov
802

PHYSICS
Investigations of the optical activity in the region of vibrational transitions
V. I. Burkov, V. A. Kizel', M. F. Kostenko, Z. B. Perekalina
806
Relation between acoustic noize and erosion in hydrodynamic cavitation
V. I. Il'ichev, G. N. Kuznetsov
809
Diffusion and transfer of excitation in collisions between metastable helium-3 atoms
P. L. Pakhomov, I. Ya. Fugol'
813
Solution to equations of gravitation in a homogeneous utterly anisotropic medium
I. S. Shikin
817

GEOPHYSICS
A contribution to the theory of biorthogonal expansions of the fields of meteorological elements
G. I. Marchuk
832

CRYSTALLOGRAPHY
Deduction of three-dimensional similarity symmetry groups
A. M. Zamorzaev
836
Oscillations of the crystallization front when growing silicon crystals by the method of Chokhralskii
Yu. M. Shashkov, G. M. Stepanova
840
 
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