Dokl. Akad. Nauk SSSR, 1962, Volume 142, Number 5

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1962, Volume 142, Number 5

MATHEMATICS
	On the problem of the index of elliptic operators M. S. Agranovich	983
	On homogeneous differential-difference schemes of second-order accuracy for parabolic and hyperbolic equations with discontinuous coefficients B. M. Budak	986
	Bifurcation of simple double points and cusps of real, plane, algebraic curves D. A. Gudkov	990
	A general linear boundary-value problem for the equation $\Delta u\pm\lambda c(x,y)u=0$ A. D. Dzhuraev	994
	Integral equations of the first kind and approximate solution of the inverse problem of potential theory V. K. Ivanov	998
	$M$-sets and Hausdorff measure O. S. Ivashev-Musatov	1001
	On sets which are enumerable and solvable by automata V. A. Kozmidiady	1005
	Convergence of the method of successive approximations for quasi-linear elliptic equations A. I. Koshelev	1007
	Entire and meromorphic solutions of a class of difference equations M. A. Kraplin	1011
	Finitive problems Yu. T. Medvedev	1015
	On a transformation operator for Sturm–Liouville equations in the non-selfadjoint case V. D. Milman	1019
	Asymptotic behavior of the eigenvalues of a linear integral equation with discontinuous kernel G. M. Mordasova	1022
	On certain problems of harmonic analysis B. P. Paneyakh	1026
	Algebraic theory of generalized analytic functions on closed Riemann surfaces Yu. L. Rodin	1030
	Some results on characteristic functionals V. V. Sazonov	1034
	A local theorem for densities S. Kh. Sirazhdinov, M. Mamatov	1036
	On the sign of the Green's function of a linear difference boundary-value problem of second order A. L. Teptin	1038
	The derivative and the integral from a general viewpoint G. P. Tolstov	1040
	Model elements of non-selfadjoint operators È. R. Tsekanovskii	1043
	On the theory of radicals in groups K. K. Shchukin	1047

MECHANICS
	On the theory of gyroscope follow-up in the presence of random interference L. Ya. Roitenberg	1050
	The influence of elasticity in the axis bearing of the external ring in a Cardan suspension on the nutation and drift of a gyroscope S. A. Kharlamov	1054
	A generalization of a theorem of Huygens V. A. Chikin	1058

MATHEMATICAL PHYSICS
	Friction heating and melting of solids L. I. Rubinshtein	1061

PHYSICS
	Theory of kinetic effects for small current carrier mobility M. I. Klinger	1065
	Potential functions of the molecules in the homologous series $(\mathrm{CH}_3)\mathrm{SiBr}_{4-n}$($n=1-4$) I. F. Kovalev	1069

CHEMISTRY
	A physico-chemical investigation of complexes between alkyl-(aryl)-chlorosilanes and the halogenides of tetrasubstituted ammonium N. M. Alpatova, A. I. Gorbanev, Yu. M. Kessler, L. G. Lozhkina	1073
	Determination of the heat of formation of decaborane G. L. Galchenko, B. I. Timofeev, S. M. Skuratov	1077
	X-ray study of potassium and rubidium octafluororhenates E. G. Ippolitov, P. A. Koz'min	1081
	Recrystallization of polycaproamide under mechanical force V. A. Kargin, P. V. Kozlov, K. Boukhal, N. F. Bakeev	1084
	Fusibility diagram of the potassium hydroxide – potassium borohydride system V. I. Mikheeva, M. S. Selivokhina, O. N. Kryukova	1086
	$n$-Dimethylaminophenyl mercury derivatives of aminoazocompounds A. N. Nesmeyanov, D. N. Kravtsov	1088
	Correlation of the rate constants in the alkaline hydrolysis of aromatic sulfoacid esters, as dependent on the structure of these compounds V. A. Pal'm, R. V. Vizgert	1091
	Some physico-chemical studies on the red and yellow forms of mercuric oxide A. R. Turki, Yu. L. Yussef, T. M. Salem, M. S. Farag, Z. Hanafi	1095
	The mechanism of complexing reactions between the ions of certain bivalent metals and 8-oxyquinoline derivatives A. I. Cherkesov	1098

PHYSICAL CHEMISTRY
	Specific heat of water and steam in phase transition with supercritical constants Kh. I. Amirkhanov, A. M. Kerimov	1101
	An investigation of electrochemical desorption as affected by the structure of the double layer I. A. Bagotskaya	1105
	Semiclassic consideration of the problem of electron exchange in solutions R. R. Dogonadze	1108
	Deuterium exchange between aromatic hydrocarbons and liquid deuterium chloride A. I. Kitova, Ya. M. Varshavskii	1112
	Highspeed chemical processes at low temperatures V. A. Lishnevskii, B. M. Uzhinov, G. B. Sergeev	1116
	The influence of the double layer structure on irreversible polarographic waves in the reduction of organic substances with consumption of protons in the potential-determining stage S. G. Mairanovskii	1120
	The semiconducting properties of vanadium and niobium pentoxides in the solid and liquid state A. I. Manakov, O. A. Esin, B. M. Lepinskikh	1124
	Activity coefficients of cesium chloride in $\mathrm{N}$-methylformamide Yu. M. Povarov, A. I. Gorbanev, Yu. M. Kessler, I. V. Safonova	1128
	Diffusion of protons in nickelic oxide as influenced by the nature of the alkali cation G. Ya. Slaidin, P. D. Lukovtsev	1130