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1985, Volume 283, Number 5  


MATHEMATICS
On the theory of two-parameter spectral problems
M. S. Almamedov, A. A. Aslanov, G. A. Isaev
1033
Poisson brackets of hydrodynamic type, Frobenius algebras and Lie algebras
A. A. Balinskii, S. P. Novikov
1036
Maximum sets of convergence and unbounded divergence of multiple Fourier series of functions in $L_1$, equal to zero on a prescribed set
I. L. Bloshanskii
1040
Separability of a system of convex cones in a topological vector space
V. G. Boltyanskii
1044
Asymptotic behavior, with respect to a parameter, of solutions of differential equations with multiple characteristics
A. I. Vagabov
1047
Factorization of a positive function on a contour of unbounded turning
E. A. Danilov
1051
Integral representations of some classes of functions that are holomorphic in a strip or in a half plane
M. M. Dzhrbashyan, V. M. Martirosyan
1054
Multikernel functions of a domain, kernel operators and singular integral operators
A. Dzhuraev
1057
Hopf algebras and the quantum Yang–Baxter equation
V. G. Drinfeld
1060
Measurable selection theorems and stochastic control models
I. V. Evstigneev
1065
A numerical characteristic of linear differential operators with constant coefficients
G. G. Kazaryan
1068
The spinor method for solving systems of nonlinear algebraic equations
P. G. Kuznetsov, S. B. Pshenichnikov
1073
Integrability of invariant Hamiltonian systems with homogeneous configuration spaces
I. V. Mykytyuk
1077
Search for the minimum of functions on a set of symmetric nonnegative-definite matrices
V. S. Mikhalevich, N. N. Redkovskii
1081
Theorems of Kirchberger and Carathéodory type in generalized convexity spaces
A. G. Netrebin, Yu. A. Shashkin
1085
Analytical homotopy theory. Rigidity of homotopic integrals
S. P. Novikov
1088
Optimality of regularization methods for linear operator equations with approximately given operator under the condition of nonuniqueness of the solution
V. P. Tanana
1092
Moduli of Hankel operators and a problem of V.  V. Peller and S. V. Khrushchev
S. R. Treil'
1095
Properties of a part of the eigen- and associated elements of selfadjoint quadratic operator pencils
A. A. Shkalikov
1100
Estimation of the spectral function for nonsemibounded selfadjoint extensions of the Schrödinger operator in an arbitrary three-dimensional domain and a kernel of fractional rank
Z. V. Shoniya
1106

CYBERNETICS AND THE REGULATION THEORY
Synthesis of vector control of indeterminate nonlinear systems
S. V. Emel'yanov, S. K. Korovin, V. I. Sizikov
1111
Principles of the control of infinite-dimensional dynamical systems on sliding modes
Yu. V. Orlov, V. I. Utkin
1116
On the synthesis of the structure of a transversal filter
G. E. Pukhov, A. A. Zlatkin
1119

MECHANICS
Application of the variational methods in the problems of stratified semi-bounded media
A. N. Guz, V. N. Chekhov
1123

AERODYNAMICS
A property of a boundary layer with a return flow of fluid
E. V. Bogdanova, O. S. Ryzhov
1127

FLUID MECHANICS
Plane, confined, turbulent Couette flow of an incompressible liquid considered in the context of the generalized Karman theory
V. V. Novozhilov, V. A. Pavlovsky
1131
A general approach to the calculation of a nontransportable entrainment of the moisture in bubbling and nonbubbling apparatus
A. M. Rozen, V. V. Ilyushchenko, S. I. Golub, M. B. Veisblat
1135

GEOPHYSICS
Effect of surface tension on heterogeneous equilibria
M. A. Grinfel'd
1139
Solution of the inverse potential problem in the case of stratified media based on complexification of ground and well gravitational prospecting and well seismological prospecting
V. M. Devitsyn
1144
The duration of earthquake process in a source
V. V. Ivanov, O. I. Garder
1149
On the seismic energy and volume of foci at crustal earthquakes and underground explosions
M. A. Sadovskii, O. K. Kedrov, I. P. Pasechnik
1153
On a result of the deep investigations of Caucasian mountain structure
B. S. Ènenstein, Ya. S. Sapuzhak, G. E. Gugunava, V. N. Bobrov, O. A. Sepashvili, M. G. Dzhanikashvili, T. O. Zardalishvili
1157

MATHEMATICAL PHYSICS
The asymptotic behavior of the general real solution of the third Painlevé equation
V. Yu. Novokshenov
1161
The discrete spectrum of natural waves of an open partially screened dielectric rod
A. I. Nosich, A. E. Poedinchuk, V. P. Shestopalov
1165

PHYSICS
Frequency, angular distributions, and total cross-section of photon scattering by a free electron
V. A. Dzhrbashyan
1170

CRYSTALLOGRAPHY
The crystal and molecular structure of $2{,}12$-dibromo-$10{,}20$-di($n$-chlor)phenyldibenzo $[b,j]$ $[1,5,9,13]$ tetraaza-$9{,}19$-cyclohexadecadiene-$1{,}16$-dione
A. A. Dvorkin, Yu. A. Simonov, A. V. Kuzmina, S. A. Andronati, A. S. Yavorskii, T. I. Malinovskii
1188
 
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