No. 3

Mathematics

A. I. Vaindiner. On the estimate of the residue of Fourier generalized series of differentiable functions of two variables — 511

Iu. N. Vladimirskii. \(\Phi\)-operators in locally convex spaces — 514

P. V. Gusiatnikov, M. S. Nikolskii. Optimality of pursuit time — 518

Iu. A. Dubinskii. Boundary value problems for elliptico-parabolic equations — 522

P. P. Zabreiko, Iu. S. Kolesov, M. A. Krasnoselskii. Implicite functions and Bogolubov-Krylov’s averaging principle — 526

A. G. Zarubin. On a class of non-linear operator equations — 530

Iu. P. Krasovskii. Estimates of the growth of derivative solutions to homogeneous elliptic equations near the boundary — 534

I. B. Ledovskaia. Bogolubov-Krylov’s senior approximations for solutions bounded all along the axis — 538

N. V. Medvedev. Periodical solutions of differential equations in Banach space — 542

G. M. Molchan, Iu. I. Golosov. Gaussian stationary processes with asymptotical power spectrum — 546

N. K. Nikolskii, B. S. Pavlov. Eigen-vector bases, characteristic function and the interpolation problem in Hardi’s \(H^2\) space — 550

O. I. Panich. Equivalent regularization of boundary value problems by means of potentials — 554

A. A. Rivilis. Homogeneous locally symmetrical regions in conformal space — 558

Fluid Mechanics

N. N. Kochina. On a solution to a one-dimensional equation of diffusion in a bounded domain — 562

Astronomy

G. S. Shteinberg. On the origin of large lunar craters and round seas — 566

Physics

Iu. A. Berezin, R. Z. Sagdeev. Unidimensional non-linear model of anisotropic plasma instability — 570

S. V. Bobrovskii, V. M. Gogolev, B. V. Zamyshliaev. Construction of approximate shock pressure curves for solids in hydrodynamical regions — 574

E. P. Velikhov, L. M. Degtiarev, A. A. Samarskii, A. P. Favorskii. Computation of ionization instability in magnetized low-temperature plasma — 578

N. A. Goriunova, L. B. Zlatkin, Iu. F. Markov, A. I. Stekhanov. The existence of a diamondlike semiconductor, \(\mathrm{CdGeAs}_2\), in the vitreous state — 582

A. P. Komar, M. M. Makarov, V. V. Sarantson, N. S. Gasilova. Formation of the \(N(3,3)\)-isobar in the \(\pi^-p \to \pi^+\pi^-n\) reaction — 584

B. G. Lazarev, V. M. Kuzmenko, A. I. Sudovtsev, R. F. Bulatova. Alliotropic transformation of ytterbium in layers condensed on a cold base — 587

Technical Physics

E. Z. Vintaikin, G. G. Urushadze. Remote order formation in nickel—chromium alloys — 589

Geophysics

A. P. Tarkov, S. N. Zakutskii, V. M. Maximov. On the correlations between the structure of the earth crust and the upper mantle, derived from magnetovariational observations and other geophysical investigations — 593

Correction

In my article (A. Iglikov, “On Axisymmetric Flows with a Free Boundary”), published in DAN, vol. 179, No. 4, 1968, the definition of the norm on p. 773, line 19, should read

\[ \|\omega\|_{\alpha}=\|\omega\|_{0}+\sup_{\tau_1\ne \tau_2} \frac{|\omega(\tau_1)-\omega(\tau_2)|}{|\tau_1-\tau_2|^{\alpha}}. \]

A. Iglikov

Submitted for typesetting 1/XI-1968. T-17639. Signed for printing 23/XII-1968. Print run 1475 copies.

Order No. 1262. Paper format \(70 \times 108^{1/16}\). Conventional printed sheets 21, 88+2 inserts. Paper sheets \(7^{13}/_{16}\). Publisher’s sheets 22.1.

2nd printing house of the publishing house “Nauka,” Moscow, Shubinsky Lane, 10.