Dokl. Akad. Nauk SSSR, 1962, Volume 142, Number 3

JOURNALS // Doklady Akademii Nauk // Archive

1962, Volume 142, Number 3

MATHEMATICS
	An extension of the Goluzin–Schiffer variational method to multiply-connected regions S. A. Gel'fer	503
	On a conjecture of V. A. Steklov Ya. L. Geronimus	507
	Construction of difference equations for approximating the solution of the Euler–Poisson–Darboux equation D. F. Davidenko	510
	Imbedding theorems with a weight A. S. Dzhafarov	514
	Analytic solutions of the Tricomi equation Yu. F. Korobeinik	518
	On the asymptotic distribution of the maximal deviations V. S. Korolyuk	522
	Four-point schemes of increased accuracy V. I. Lebedev	526
	Effective construction of methods of best approximation L. P. Lebedev	530
	Uniqueness of the solution of the inverse problem for ordinary differential operatos of order $n\ge2$ and the transforms of such operators Z. I. Leibenzon	534
	The root-vector expansion of a weakly perturbed self-adjoint operator A. S. Markus	538
	The behaviour of the trajectories of a system which is close to an autonomous Hamiltonian system V. Mel'nikov	542
	On the absence of polyhedral spectra for bicompacta B. Pasynkov	546
	The discrete spectrum of the Schrödinger radial equation L. A. Sakhnovich	550
	On Dirichlet $L$-functions O. M. Fomenko	554
	Local properties of certain approximation operators A. L. Fuksman	556
	On certain differential equations encountered in the study of oscillations with small random perturbations R. Z. Khas'minskii	560

FLUID MECHANICS
	The interpretation of nonstationary relativistic hydrodynamics in Minkowski space I. S. Shikin	564

THEORY OF ELASTICITY
	On the variational method in the nonlinear theory of elasticity I. G. Teregulov	568

MATHEMATICAL PHYSICS
	Models with finite numbers of degrees of freedom for a certain class of problems in mathematical physics (difference schemes with conservation law) A. L. Krylov	572
	On a case of Stefan's problem L. I. Rubinshtein	576

PHYSICS
	Solid helium transition to the metallic state at high pressures V. P. Trubitsyn, F. R. Ulinich	578

GEOPHYSICS
	Aerosol layer in the upper atmosphere A. E. Mikirov	587

CHEMISTRY
	The mechanism of vinyl ether hydrolysis. The hydrolysis of vinyl ethyl, vinyl isopropyl and vinyl-$n$-butyl ethers L. A. Kipryanova, A. F. Rekasheva	589
	Oxazole derivatives in the diene synthesis G. Ya. Kondrat'eva, Huang Zhi-heng	593
	Reactions of polyfluorinated nitrosoalkanes with unsaturated compounds S. P. Makarov, V. A. Shpanskii, V. A. Ginsburg, A. I. Shchekotikhin, A. S. Filatov, L. L. Martynova, I. V. Pavlovskaya, A. F. Golovaneva, A. Ya. Yakubovich	596
	Proportional sensitivity of the absorption spectra of merocyanines to the action of solvents M. A. Mostoslavskii, V. A. Izmailsky	600
	An investigation of the reaction of addition of dichlorosilane to alkenylsilanes G. V. Odabashyan, T. A. Zhuravleva, A. D. Petrov	604
	The physical properties of transition metal nitrides G. V. Samsonov, T. S. Verkhogliadova	608
	Microestimation of active hydrogen by gas chromatography M. N. Chumachenko, L. B. Tverdyukova	612

PHYSICAL CHEMISTRY
	The nature of the relation between chemiluminescence and the oxidation by molecular oxygen R. F. Vasil'ev, A. A. Vichutinsky	615
	A radiotracer study of the mechanism underlying the oxidation of propylene to acrolein on a cuprous-oxide catalyst O. A. Golovina, O. V. Isaev, M. M. Sakharov	619
	Certain properties of the $\mathrm{CdSnAs}_2$ semiconductor – an electron analogue of indium arsenide N. A. Goryunova, S. Mamaev, V. D. Prochukhan	623
	The formation of structure in crystalline polystyrene V. A. Kargin, T. I. Sogolova, G. Sh. Talipov	627
	Thermodynamic calculation of the solvation ability of solvents E. S. Rudakov	629
	The mechanism of structure formation in hydrocarbon suspensions, as related to the problem of active rubber fillers B. Ya. Yampol'sky, U Shu-tsiu, P. A. Rebinder	633