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1957, Volume 114, Number 3  


MATHEMATICS
A method for an approximate solution of Laplace's equation
N. S. Bakhvalov
455
Estimation of the jump of the higher characteristic exponent in the case of small perturbations
R. È. Vinograd
459
Investigation of boundary problems for elliptical systems of differential equations on a plane
A. I. Vol'pert
462
Asymptotic expressions for eigenvalues and characteristic functions of a class of elliptical systems
A. B. Drapkin
465
Imbedding theorems for a space having its metric degenerating on a rectilinear portion of the domain boundary
V. K. Zakharov
468
Transformation of a monotone irreducible mapping into a monotone-interior mapping and a monotone-interior mapping of the cube onto the cube of higher dimension
Ludmila Keldysh
472
On the limit functions of a trigonometric series
D. E. Men'shov
476
On the system of two Briot and Bouquet equations
V. F. Myachin
479
Some criteria for non-oscillation of a fourth order differential equation
L. D. Nikolenko
483
A class of infinite systems of linear algebraic equations
V. S. Rogozhin
486
The combinatorial invariance of Pontrjagin classes
V. A. Rokhlin, A. S. Schwarz
490
On the combinatorial topology of Hilbert space
S. S. Ryshkov
494
On polynomials orthogonal along a smooth boundary with differentiable weight
P. K. Suetin
498
The behaviour near the boundary of a region of certain sequences of derivatives of analytical functions,converging uniformly within the region
G. Ts. Tumarkin
502
Sturm type theorems for self-conjugate systems of higher order differential equations
A. Halanay, Sh. Shandor
506
A theorem on the uniqueness of the solution of a mixed problem for systems of linear partial differential equations
Chen Chin-i
508

MATHEMATICAL PHYSICS
Distribution of electricity over a thin paraboloid segment
N. N. Lebedev
513

PHYSICS
Excitation of hypersonic oscillations in quartz
K. N. Baranskii
517
Absorption of light by $\mathrm{CdS}$ crystals
V. L. Broude, V. V. Eremenko, É. I. Rashba
520
Absorption spectra of organic compound vapours as related to concentration
B. S. Neporent, V. P. Klochkov
524
Stepped excitation of atoms
K. I. Rozgachev, V. A. Fabrikant
528
Relativistic collision integral
N. A. Chernikov
530

CHEMISTRY
The production and study of some vinyl ethers
E. L. Gefter, M. I. Kabachnik
541
The reduction of monolefines by alkali metals in liquid ammonia
I. V. Gostunskaya, M. I. Rozhkova, B. A. Kazanskii
545
The production of higher $\alpha$, $\alpha$, $\alpha$, $\omega$-tetrachloralkanes on a flow set-up
Sh. A. Karapetyan, L. A. Pichugin
549
Anionotropic regrouping of 2,6-dimetbylocta-2,4,7-triene-6-ol
I. N. Nazarov, Zh. A. Krasnaya, S. M. Makin
553
Synthesis and chemical transformations of trichloromethyl and $\omega$, $\omega$-dichlorallyl compounds of mercury
A. N. Nesmeyanov, R. Kh. Freidlina, F. K. Velichko
557
Synthesis of $5$-metoxyindole derivatives
A. P. Terent'ev, M. N. Preobrazhenskaya
560
An investigation of the interaction between ammonia and zinc chloride in water solutions
G. G. Urazov, A. K. Kirakosyan, R. S. Mkhitaryan
564

PHYSICAL CHEMISTRY
Kinetics of mechanical destruction of high polymers
N. K. Baramboim
568
The energy of $\mathrm{C}$$\mathrm{H}$ bond rupture in hydrocarbons
V. I. Vedeneev
571
On the mechanism of ionic exchange
V. I. Gorshkov, G. M. Panchenkov
575
The adsorption of water vapour on silica gels hydrated to varying degrees
M. M. Egorov, T. S. Egorova, V. F. Kiselev, K. G. Krasil'nikov
579
On the kinetics of the rotational isomerization reaction
V. A. Pozdyshev, Yu. A. Pentin, V. M. Tatevskii
583
On the change of sulphur atoms number in sulphur structures in volcanized rubbers under the action of light
A. F. Postovskaya, M. A. Salimov, A. S. Kuzminskii
586
Isotopic effect in the compressibility and association of deuteroalcohols
I. B. Rabinovich, V. G. Golov, N. A. Efimova, S. M. Rustamov
590
A study of the supersaturation kinetics in connection with the development of crystallization structures oh the solidification of gypsum
E. E. Segalova, V. N. Izmailova, P. A. Rebinder
594

Поправки к статье “Обобщение теоремы Бохнера на разложения по собственным функциям уравнений в частных производных” (ДАН, т. 110, № 6, 1956 г.)
Yu. M. Berezanskii
Поправки к статье “Влияние анэлектротона на заторможенные положительные условные рефлексы” (ДАН, т. 112, № 6, 1957 г.)
N. P. Movchan
 
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