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1971, Volume 201, Number 3  


MATHEMATICS
On invariant subspaces of contractions
V. M. Brodskii, Ya. S. Shvartsman
519
Boundary value problems for overdetermined systems of differential equations
E. S. Zukhovitskaya
523
On optimum minimization algorithms in classes of differentiable functions
V. V. Ivanov
527
On factor mappings of topological spaces
N. S. Lashnev
531
Zeta functions of a semisimple algebra over the field of rational numbers
G. N. Maloletkin
535
On the Darboux problem for a degenerating hyperbolic system
M. Meredov
538
On the convergence of Riemann sums for discontinuous functions
B. V. Pannikov
542
The representation of the solution of the Cauchy problem in the form of a continuous integral
V. L. Roitburd
545
On the weak completeness of the space conjugate to a convergence space
V. M. Cheresiz
548

FLUID MECHANICS
A model of penetrating convection of compressible gas in deep atmosphere
V. I. Polezhaev, M. P. Vlasyuk
552

THEORY OF ELASTICITY
Theory of dynamic contact problems
V. A. Babeshko
556

MATHEMATICAL PHYSICS
Darlington’s method for dissipative systems
D. Z. Arov
559

PHYSICS
Application of the electron spin resonance of $\mathrm{Cu}(\mathrm{II})$ to the investigation of glass structure in the system $\mathrm{P}_2\mathrm{O}_5$$\mathrm{B}_2\mathrm{O}_3$$\mathrm{Cs}_2\mathrm{O}$
L. D. Bogomolova, V. A. Zhachkin, V. N. Lazukin, N. F. Shapovalova, V. A. Shmukler
563
Excitation of electrostatic ion-cyclotron oscillations by a transverse current
A. A. Ivanov, V. F. Murav'ev
567
On a new kind of symmetry underlying physical theory of phenomenological type
Yu. I. Kulakov
570
Molecular mechanism of polymorphic transitions
Yu. V. Mnyukh
573
On the theory of electromagnetic waves in weakly transient plasma
N. S. Stepanov, V. G. Gavrilenko
577

GEOPHYSICS
Investigation of the velocity of elastic waves of some rock-forming minerals under pressures up to 20 kilobars
G. D. Afanas'ev, E. I. Bayuk, B. P. Belikov, M. P. Volarovich, G. A. Efimova, A. I. Levykin
586
On the possibility of air absolute humidity measurement by means of an adsorption quartz transducer
N. V. Vershinskii, A. N. Vershinskii, I. V. Chirchenko
590
On the dependance of dielectric properties of rocks on their volume weight
S. A. Shmulevich, V. S. Troitskii
593

ELECTRICAL ENGINEERING
Inductive coil discharge onto a great resistance
Yu. A. Dreizin
595
 
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