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 MATHEMATICS On a method of studying the behavior of the difference of two solutions of nonlinear differential equationsV. F. Baklanovskaya 793 On stability with respect to initial data of nonselfadjoint difference schemesA. V. Gulin 797 Estimates for a pseudodifferential canonical operator with complex phaseV. G. Danilov 800 On the theory of ill-posed problemsI. V. Emelin, M. A. Krasnosel'skii 805 Necessary and sufficient conditions for stabilization of the solutions of model parabolic boundary value problemsN. V. Zhitarashu, S. D. Èidel'man 809 Identities and some algorithmic problems in groupsYu. G. Kleiman 814 On high frequency oscillations of platesV. V. Kucherenko, V. A. Popov 819 Homotopy classification of systems in the plane that are elliptic in the sense of Douglis and NirenbergLe Khyu Zien, V. I. Shevchenko 824 On optimal control problems for linear elliptic equationsU. Raitums 828 On conjugation problems for some partial differential equationsV. K. Romanko 831 Operator-stable laws of distributionS. V. Semovskii 836 CYBERNETICS AND THE REGULATION THEORY An adaptive iterative method for fast precise digital data captureV. A. Il'in 840 Symmetry in automatic control systemsY. P. Popov, P. D. Krut'ko 842 MECHANICS A new friction law and mechanism of large-scale rock falls and mountain creepsS. S. Grigoryan 846 THEORY OF ELASTICITY The three-dimensional form of the stability loss of a thickwalled cylinderE. I. Zeldich 850 Exact solutions of problems of the diffraction of waves by two parallel half-planesM. Sh. Israilov 855 GEOPHYSICS Specific features of high-frequency radiation of strong earthquakes with different mechanisms of focusesI. L. Nersesov, Yu. F. Kopnichev, E. V. Medvedeva 859 MATHEMATICAL PHYSICS Matrix elements of the boost of unitary representations of the Lorentz group in the basis $SO(3.1)\supset SO(2.1)\supset SO(2)$A. V. Berezin, A. A. Bogush, V. S. Otchik, F. I. Fedorov 864 Asymptotic characteristics of a polarized radiation field in the case of small absorptionM. G. Kuz'mina, M. V. Maslennikov 868 Global solutions of Cauchy problems for the Liouville equation $\varphi_{tt}-\varphi_{xx}=-1/2m^2\exp\varphi$ in the case of singular initial dataA. K. Pogrebkov 873 PHYSICS On the occurrence of light detonation from a light burning waveI. V. Nemtchinov, A. I. Petrukhin, V. A. Rybakov, V. M. Hazins, V. V. Shuvalov 877 CRYSTALLOGRAPHY Strength characteristics of synthetic diamonds grown in the presence of nitrogenG. B. Bokii, N. F. Kirova, V. I. Nepsha 885 Structure and properties of quantum systems with increased stability of stationary stateA. A. Gorbachev 887 A system of hydrogen bonds in ammonium and indium sulphate, $\mathrm{NH}_4\mathrm{In}(\mathrm{SO}_4)_2\cdot4\mathrm{H}_2\mathrm{O}$N. N. Mukhtarova, R. K. Rastsvetaeva, V. V. Ilyukhin, N. V. Belov 892