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1966, Volume 171, Number 1  


MATHEMATICS
Extremal quasiconformal mappings for arbitrary plane regions
P. A. Biluta
9
Difficulties of minimization of Boolean functions on the basis of universal approaches
Yu. L. Vasil'ev
13
Theorem on the existence of a polynomial with a given sequence of extrema
V. S. Videnskii
17
Elliptic operators in functional derivatives, and diffusion equations connected with them
Yu. L. Daletskii
21
Description of completely irreducible representations of a semi-simple complex Lie group
D. P. Zhelobenko, M. A. Naimark
25
Exact classes of uniqueness of solution of the Cauchy problem for equations of second order
Ya. I. Zhitomirskii
29
A new class of finite difference operators
T. S. Zverkina
33
The length of a block which is necessary to obtain a prescribed surplus
R. E. Krichevskii
37
Stability regions for complex selfadjoint systems of differential equations
V. B. Lidskii, P. A. Frolov
41
Behavior in the large of phase trajectories of quasi-linear differential equations with retarded arguments
Yu. I. Neimark, L. Z. Fishman
44
General theory of variational problems with applications to optimal control
L. Neishtadt
48
Some conditions for uniqueness of the solution of inverse problems of potential theory
A. I. Prilepko
51

FLUID MECHANICS
Group classification of one-dimensional gasflow equations by the Cartan method
K. P. Surovikhin
55

THEORY OF ELASTICITY
General critical stressed state of a strictly convex shell
A. V. Pogorelov
59

MATHEMATICAL PHYSICS
The method of solving the main boundary value problem concerned with the propagation of long and super long radio waves around the earth
P. E. Krasnushkin
61

PHYSICS
On the smoothness of the detonation front in a liquid explosive
Ya. B. Zel'dovich, S. B. Kormer, G. V. Krishkevich, K. B. Yushkov
65
States close to single quasi-particle states in odd deformed nuclei
V. G. Solov'ev, P. Fogel'
69
A homogeneous anisotropic cosmological model with a magnetic field
I. S. Shikin
73

GEOPHYSICS
The dynamics of the earth crust within the transitional zones from continents to the oceans of the Atlantic-type
S. A. Ushakov
91
 
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