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1961, Volume 137, Number 5  


MATHEMATICS
Non-trivial solutions of the Dirichlet problem for equations with Monge–Ampère operator
I. Ya. Bakelman, M. A. Krasnosel'skii
1007
Remark on the Schrödinger equation with singular potential
F. A. Berezin, L. D. Faddeev
1011
Certain boundary-value problems for elliptic equations with strong degeneration at the boundary
A. A. Vasharin, P. I. Lizorkin
1015
Cohomology of groups of units in algebras with division
B. B. Venkov
1019
Higher approximations in averaging
V. M. Volosov
1022
Periodically correlated random sequences
E. G. Gladyshev
1026
Distribution of values of meromorphic functions with separated zeroes and poles
A. A. Gol'dberg
1030
On the theory of triangular representations of nonselfadjoint operators
I. Ts. Gokhberg, M. G. Krein
1034
Certain types of invariant systems of simplest structure
A. A. Dezin
1038
Random walk on groups with a finite number of generators
E. B. Dynkin, M. B. Malyutov
1042
Spectral functions of certain classes of stationary Gaussian processes
I. A. Ibragimov
1046
The solution of the first boundary problem in the large for a quasilinear parabolic equation
L. I. Kamynin, V. N. Maslennikova
1049
Tricomiís singular problems in the neighborhood of a finite and infinite singular line
M. B. Kapilevich
1053
Some estimates of solutions of second-order elliptic equations
V. G. Maz'ya
1057
The existence of periodic solutions of certain non-linear systems
V. A. Pliss
1060
Simple subgroups of simply connected real simple Lie groups
A. I. Sirota
1063
On the geometry of cones in Banach space
V. Ya. Stetsenko
1067
Rounding errors in numerical solutions of systems of simultaneous linear equations by Cholesky's method and the method of principal elements
Tan Čžèn'
1071
Absolute convergence of multiple Fourier series
M. F. Timan
1074

CYBERNETICS AND THE REGULATION THEORY
On the synthesis of $\mathfrak{R}$-circuits
É. I. Nechiporuk
1078

MECHANICS
On the motion of a body of variable mass with constant expenditure of power in a gravitational field
G. L. Grodzovsky, Yu. N. Ivanov, V. V. Tokarev
1082

THEORY OF ELASTICITY
Stability of orthotropic plates with stepwise variable stiffness
M. R. Fel'dman
1086

PHYSICS
Broadening of hydrogen lines in the plasma of an arc and a shock tube
V. F. Kitaeva, N. N. Sobolev
1091
The effect of elastic relaxation stresses on the crystallization of very viscous liquids
L. V. Tverskaya
1095

GEOPHYSICS
Molecular ions in the upper atmosphere
A. D. Danilov
1098
Nitrogen ions in the upper atmosphere and the ionization of the region at night
V. G. Istomin
1102

CHEMISTRY
Inquiry into the ways of constructing a ring system of BA tetracyclines. The synthesis of esters of substituted 2-ketocyclohexylaceticacids
Yu. A. Arbuzov, A. A. Kiryushkin, M. N. Kolosov, Yu. A. Ovchinnikov, M. M. Shemyakin
1106
The 2-$\beta$-oxyethyl-2-phenylindandion-1,3
A. K. Aren, Ya. Ya. Dregeris, G. Ya. Vanag
1110
An optic investigation of conformations of 2-methyl-1-oxycvclohexvlethylene oxides
M. I. Batuev, A. A. Akhrem, A. D. Matveeva
1113
Some results of an X-ray study of ferrocene and its derivatives
È. E. Vainstein, Yu. F. Kopelev, B. I. Kotlyar
1117
Manifestation of pseudohalogen properties by a trifluoromethyl group linked with a carbon atom
I. L. Knuniants, Yu. A. Cheburkov
1121
Thermal alkylation of cyclohexane by olefins under pressure
N. M. Nazarova, L. Kh. Freidlin
1125
Addition of trichlorbromomethane to compounds defined by the general formula $\mathrm{R}(\mathrm{C}_6\mathrm{H}_5)_2\mathrm{ECH}=\mathrm{CH}_2$ (whore $\mathrm{R}=\mathrm{C}_6\mathrm{H}_5$, $\mathrm{CH}_3$; $\mathrm{E}=\mathrm{Sn},\mathrm{Si},\mathrm{C})$
R. Kh. Freidlina, G. T. Martirosyan, A. N. Nesmeyanov
1129
Homolytic isomerization of 2-bromo-3,3-dichlorobutene-1
M. Ya. Khorlina, V. N. Kost
1133
Autoxidation of the alkyl derivatives and halogen derivatives of 1,1-diphenylethane and isopropylbenzene
T. I. Yurzhenko, M. A. Dikii
1137

PHYSICAL CHEMISTRY
The role of convection in the burning of condensed fuel mixtures
N. N. Bachman
1141
The statics of ion mixture exchange
N. K. Galkina, R. N. Rubinshtein, M. M. Senyavin
1144
The use of high pressure in studying collective interaction in polymerization processes
M. G. Gonikberg
1147
The kinetics of the electrolytic reduction of iron on a dropping mercury electrode
V. F. Ivanov, Z. A. Iofa
1149
Nuclear magnetic resonance spectra of perfluorooctadiene and perfluorododecadiene when irradiated
N. M. Pomerantsev, V. A. Khramchenkov, L. V. Sumin, A. V. Zimin
1153
The effect of polymorphism on thermal conductivity
G. B. Ravich, Yu. N. Burtsev
1155
Concerning the action of surface active substances on the solution kinetics of calcium carbonate in mineral acids
Vikt. I. Spitsyn, V. A. Pchelkin, I. V. Goncharov
1158
 
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