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1957, Volume 115, Number 1  


MATHEMATICS
The Cauchy problem for a class of non-linear equations in functional spaces
K. T. Akhmedov
9
The reduction of a system of linear partial differential equations with constant coefficients to the normal form
V. M. Borok
13
On the convergence of sequences of linear positive operators in the space of continuous functions of two variables
V. I. Volkov
17
Periodical solutions of a non-linear equation of autooscillations
V. M. Volosov
20
Bounded solutions of an unhomogeneous integral equation given on a semi-infinite interval and having its kernel dependent on the difference of the arguments
T. A. Germogenova
23
On the existence of solutions to Cauchy problem for a certain class of partial differential equations
G. M. Gusachenko
27
Determination of the class of convergence in certain interpolation problems
M. A. Evgrafov
31
On the spectral properties of elliptical operators
A. G. Kostyuchenko
34
Certain properties of series in Faber polynomials
T. I. Krasnoshchekova
38
The first boundary problem for a non-linear elliptic equation of the second order in a bounded domain with a degenerate boundary
A. L. Krylov
42
Computation of the eigenvalues of integral equations by means of iterated kernels
I. P. Mysovskikh
45
A local theorem for latticed distributions
V. V. Petrov
49
Local limit theorems for large deviations
W. Richter
53
Imbedding theorems for abstract functions of sets
S. L. Sobolev
57
On the structure of groups with finite classes of conjugate elements
S. N. Chernikov
60
On uniqueness in the inverse problem of the potential theory
Yu. A. Shashkin
64
On spectral functions of an even order differential operator
A. V. Strauss
67

PHYSICS
Determination of the flux of primary cosmic ray particles at $31^\circ$ $\mathrm{N}$ latitude
K. I. Alekseeva, S. I. Bricker, N. L. Grigorov, F. D. Savin, N. A. Shcherbakov
71
The satellites of the $L_{\alpha_{1,2}}$ и $L\beta_1$ lines in the spectrum of germanium
G. P. Borovikova, M. I. Korsunskii
75
New possibilities of increasing the efficiency of accelerators of charged particles
E. M. Moroz
78
Separation of isotopes when an atomic beam passes through ionization space
K. D. Sinelnikov, B. G. Safronov, G. G. Aseev, Yu. S. Azovskii
80

GEOPHYSICS
On the planetary distribution of ionospheric magnetic disturbances and aurorae
A. P. Nikol'skii
84
On the interval logging of acoustic waves
N. I. Khalevin
88

CHEMISTRY
Alkylation of $\alpha$- and $\beta$-naphtols by acetylene
V. L. Vaiser
91
Distrubution of small quantities of carbon in iron alloys
A. S. Zav'yalov, B. I. Bruk
94
Polymerization of some compounds having two isopropenyl groups
Yu. V. Mitin, N. A. Glukhov
97
Interaction of cerium with hydrogen
V. I. Mikheeva, M. E. Kost
100
Conjugate decarboxylation on the autooxidation of isopropylbenzene in a mixture with fatty acids
N. I. Mitskevich, T. I. Soroko, B. V. Erofeev
103
The production and properties of mono-, di- and tri-$p$-tolylalkylsilanes
N. S. Nametkin, A. V. Topchiev, Ku Khang-li, N. A. Leonova
107
The relative existance to heat as dependent on composition in the $\mathrm{Cu}$$\mathrm{Ni}$$\mathrm{Si}$ system
I. I. Novikov, L. I. Dautova
110
The properties of $\alpha$-cellulose from thousand years old fossil pine wood
A. I. Skrigan, A. M. Shishko, R. G. Zhbankov
114
Electron spin resonance in some sandwich type chromaromatic compounds
Yu. D. Tsvetkov, V. V. Voevodskii, G. A. Razuvaev, Yu. A. Sorokin, G. A. Domrachev
118

PHYSICAL CHEMISTRY
On the order-disorder theory in alloys
I. L. Aptekar
122
A theory of the interaction force between drops at rest at any distance at psychrometric temperature
S. S. Dukhin, B. V. Deryagin
126

Поправки к статье “Асимптотическое поведение решений одной нелинейной краевой задачи теории пограничного слоя” (ДАН, т. 112, № 4, 1957 г.)
G. V. Gil', A. D. Myshkis
Поправки к статье “Сверхтонкая структура парамагнитного резонанса. Ядерный спин и магнитный момент 5,3-годичного радиоактивного изотопа $\mathrm{Eu}^{152}$” (ДАН, т. 112, № 4, 1957 г.)
A. A. Manenkov, A. M. Prokhorov, P. S. Truhlyaev, G. N. Yakovlev
 
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