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 MATHEMATICS Some problems in the theory of linear differential operators of fractional orderT. S. Aleroev 5 Multipliers of Fourier integrals and estimation of mixed derivatives for Banach-valued functionsV. S. Guliev 7 On some problems that arise from Rubel's problem on joint approximationA. A. Danielyan 10 A new form of equations of motion in celestial mechanicsV. I. Zubov 13 On the stabilization of functions to the solutions of homogeneous linear differential equationsP. A. Zharov 17 On the correct formulation of a boundary value problem for a class of loaded equations of mixed-parabolic typeİlhan Öztürk 20 Removal of singularities of integrable $CR$-functions lying on Hölder peak setsA. M. Kytmanov, K. Rea 22 On the continuation of solutions in domains with a piecewise-analytic boundaryT. V. Savina, B. Yu. Sternin, V. E. Shatalov 24 PHYSICS The cluster model of the localized electron pairs in mixed-valence metaloxidesS. P. Ionov, V. P. Orlovskii, È. N. Murav'ev 28 Tunnel asymptotics in second quantized systemsV. P. Maslov, O. Yu. Shvedov 32 THEORETICAL PHYSICS A method of ultrahigh compression of gas bubbles in a liquid by the nonperiodic vibrational action of pressure of moderate magnitudeR. I. Nigmatulin, V. Sh. Shagapov, N. K. Vakhitova, R. T. Lahey, Jr. 37 MECHANICS Computer study of aerodynamic derivatives for airplanesS. M. Belotserkovskii, S. D. Shipilov, T. V. Pogrebnaya 42 On turbulent spot formation in a laminar boundary layerV. A. Kazakov 45 Asymmetric oscillations in systems that contain two-sided limitersV. L. Krupenin 49 Reduction of the hydrodynamic friction drag by fastly prepared “solutions” of polyethyleneoxideV. N. Mamonov, B. P. Mironov, R. F. Mustafaev, D. I. Ginzburg 53 GEOPHYSICS On the fractal structure of oil- and gas fieldsN. P. Zapivalov, G. I. Smirnov 110