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 MATHEMATICS On the localization of solutions of nonlinear degenerate elliptic and parabolic equationsS. N. Antontsev 1289 A generalization of Bogoljubov's “edge of the wedge” theoremV. V. Zharinov 1293 Ergodic properties of nonlinear mappings connected with models of economic dynamicsM. I. Zakharevich 1298 On the choice of a metric in the space of criteria for determining an optimal machine modelI. B. Matusov, R. B. Statnikov 1301 On normal oscillations of a heavy ideal liquid in a channel with elastic bottomM. B. Orazov 1305 Exponential polynomials deviating least from zero and optimal quadrature formulasM. A. Chahkiev 1309 CYBERNETICS AND THE REGULATION THEORY On the analytic design theory of nonlinear regulatorsI. S. Ukolov, V. P. Grigor'ev, A. R. Makhlin 1313 MECHANICS New class of asymptotic motions of a heavy rigid body with a fixed pointG. V. Gorr 1316 On the role of flow modulator at the excitation of sound in pipesA. Ya. Gokhshtein 1318 FLUID MECHANICS Mass and heat transfer in inner-flow regions with closed streamlines at high Peclet numbersB. I. Brounstein, V. Ya. Rivkind 1323 THEORY OF ELASTICITY Longitudinal bending of short barsM. Ya. Leonov, S. V. Gol'denshlyuger 1327 A method for the solution of dynamical problems of linear viscoelasticity with regular hereditary kernelsF. G. Maksudov, M. H. Il'jasov 1332 GEOPHYSICS Investigation of the decrease of natural remanent magnetization inclination in South Darvaz Paleogene sandstonesM. L. Bazhenov 1336 Geomagnetic field intensity in last 400 million yearA. S. Bol'shakov, G. M. Solodovnikov 1340 PHYSICS Automodel approximation in the theory of multiple, strongly anisotropic light scatteringL. S. Dolin 1344 Thermodynamically matched equation of the fluid theoryG. A. Martynov, G. N. Sarkisov 1348 CRYSTALLOGRAPHY Crystal structure of synthetic $\mathrm{Ga},\mathrm{Ge}$-helenite, $\mathrm{Ca}_2\mathrm{Ga}_2\mathrm{GeO}_7= \mathrm{Ca}_2\mathrm{Ga}(\mathrm{GaGe})\mathrm{O}_7$, and its comparison with the structure of $\mathrm{Ca}_3\mathrm{Ga}_2\mathrm{Ge}_4\mathrm{O}_{14}= \mathrm{Ca}_3\mathrm{Ge}[(\mathrm{Ga}_2\mathrm{Ge})\mathrm{Ge}_2\mathrm{O}_{14}]$E. L. Belokoneva, N. V. Belov 1363