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1983, Volume 269, Number 6  


MATHEMATICS
Topological properties of function spaces: Duality theorems
A. V. Arkhangel'skii
1289
On the existence of a solution of a boundary value problem for the equation $u_t-Lu=uBu+f$
N. Ya. Beznoshchenko
1292
On asymptotic properties of solutions of a mixed problem for a nonlinear heat equation
A. A. Belolipetskii, A. M. Ter-Krikorov
1296
Construction of a minimal complete system of orthogonal invariants for a two-dimensional system of differential equations
N. I. Vulpe
1299
On invertibility in $L_2(R)$ of singular integral operators with periodic coefficients and a shift
S. M. Grudskii, A. B. Khevelev
1303
On some approximation properties of Cesaro means of Fourier series
L. V. Zhizhiashvili
1307
Final probabilities for a random branching process with interaction of particles
A. V. Kalinkin
1309
An inverse problem of geometric optics
M. M. Lavrent'ev, V. S. Ladyzhets
1313
Positive forms of degree $2l>2$ and zeta-separating quadratic forms
S. S. Ryshkov, S. Sh. Shushbaev
1316
Properties of the moduli of analytic functions that are smooth up to the boundary
N. A. Shirokov
1320

CYBERNETICS AND THE REGULATION THEORY
On a class of systems absolutely stable in the Hurwitz angle
M. I. Gil'
1324

MECHANICS
Generalization of Gauss's principle to nonholonomic systems of higher orders
N. N. Polyakhov, S. A. Zegzhda, M. P. Yushkov
1328

FLUID MECHANICS
Solution of the problem of the flow around a permeable plate with separation of jets
V. A. Buchin
1331
Calculation of steady turbulent flow of an electrically conducting fluid in a channel in a transverse magnetic field
V. V. Novozhilov, A. V. Volkova
1336

PHYSICS
Two-well critical potentials-typical non-one-well atom potentials in amorphous systems
F. N. Ignat'ev, V. G. Karpov, M. I. Klinger
1341
Possible role of axial photons in the solar neutrino flux weakening
L. M. Slad
1345
Coulomb excitation of atom by an molecular cluster
G. L. Yudin
1350
 
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