B. M. Bredikhin, Iu. V. Linnik. Binary additive problems whose solutions have ergodic properties . . . 1267
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Submitted 1966-01-01 | RussiaRxiv: ru-196601.85725 | Translated from Russian

Full Text

B. M. Bredikhin, Iu. V. Linnik. Binary additive problems whose solutions have ergodic properties . . . 1267

E. V. Voronovskaia. Amorphous functionals, their structure and applications . . . 1270

J. L. Geronimus. Some remarks on the factor method . . . 1274

V. P. Gurarii. Primary ideals in the \(\mathscr{L}(0,\infty)\) space . . . 1277

A. D. Dzharalov. An integral representation of smooth functions certain families of functional spaces . . . 1280

V. L. Kliushin. Spaces resolvable into spectra consisting of metric spaces . . . 1284

A. B. Nersesian. Cauchy problem in the case of second-order degenerating hyperbolic equations . . . 1288

I. S. Sargsian. Eigen-function development of Dirac’s unidimensional system . . . 1292

P. E. Sobolevskii. Fractional powers of slightly positive operators . . . 1296

V. T. Fomenko. Distribution of non-rigid nipple couplings in the case of a convex surface . . . 1300

A. B. Shabat. An analogue of Rado-Cartan’s theorem for the solution of elliptic equations . . . 1304

V. A. Iakubovich. Recurrent finitely converging algorithms of the solution of a system of inequalities . . . 1308

CYBERNETICS AND THE REGULATION THEORY

R. A. Nelepin. Synthesis of non-linear control laws . . . 1312

MECHANICS

G. M. Petrova, N. P. Marin, O. S. Berliand. Precipitation of a cloud of interacting particles followed by the formation of a «dusting» source as a result of atmospheric diffusion . . . 1315

MATHEMATICAL PHYSICS

A. G. Ramm. Resonance pole free region in the problem of scattering at three-dimensional potential . . . 1319

PHYSICS

P. Winternitz, A. A. Makarov, Nguyen van Hieu, L. G. Tkachev, M. Uhlir. On the structure of vector and axial currents in broken U(12) symmetry . . . 1323

G. A. Zhitnikov, N. I. Mel’nikov. Optical absorption spectra of silver atoms stabilized in various matrices at 77° K . . . 1326

V. N. Svechnikov, V. M. Pan, Iu. I. Beletskii. The shape of the \(\beta\)-phase homogeneity region on the niobium-tin equilibrium diagram as related to the superconducting properties of Nb\(_3\)Sn . . . 1328

A. A. Sokolov, I. M. Ternov. A contribution to the theory of forced transitions in the radiation of a luminous electron . . . 1332

TECHNICAL PHYSICS

I. B. Levinson, P. Sh. Fridberg. Variation principle for the scattering matrix of two electromagnetically coupled cavities . . . 1335

GEOPHYSICS

I. P. Pasechnik. The determination of the relation between the absorption coefficient and the frequency in the case of longitudinal seismic waves propagating in the earth mantle . . . 1338

CORRECTION

In the article by L. A. Dikarev, “On the characteristic temperature of suspensions,” published in DAN, vol. 163, No. 6, 1965, the following correction must be made: on p. 1356, line 11, printed

\[ \xi = (\rho_1/\rho_2)(\nu_1 - z_2^2)^2 - 1, \]

should be

\[ \xi = (\rho_1/\rho_2)(\nu_1/\nu_2^2) - 1. \]

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Submission history

B. M. Bredikhin, Iu. V. Linnik. Binary additive problems whose solutions have ergodic properties . . . 1267