Dokl. Akad. Nauk SSSR, 1985, Volume 283, Number 5

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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