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 MATHEMATICS Asymptotic stability with respect to the first, in the broad sense, approximationV. I. Zubov 295 On the basis property of the system of functions $\{\exp(iant)\sin(nt)\}$L. V. Kritskov 297 Stochastic differential equations in a Hilbert space for some random functions of a vector argumentV. S. Pugachev, I. N. Sinitsyn 299 On a regularizing algorithm for solving an inverse problem for a hyperbolic equationV. G. Romanov 303 Optimization of the form of an elliptic system with the aim of minimizing the first eigenvalueA. P. Suetov 307 MATHEMATICAL PHYSICS Existence of solitary normal waves in linear and nonlinear layered waveguides with lossesV. S. Serov, Yu. V. Shestopalov, Kh. V. Shurmann 311 COMPUTER SCIENCE On the convergence of methods with different time steps in subdomainsV. I. Drobyshevich 315 CONTROL THEORY A universal controller for the optimal damping of forced oscillations in linear systems with delayV. A. Yakubovich 319 PHYSICS Qualitative regularities of parameters interrelation in the optimal structures in the problems of optimal synthesis of inhomogeneous structures from a discrete set of materials at wave effectE. L. Gusev 324 On relation of thermal capacity and entropy of thermodynamic systemsI. I. Samkhan 327 MECHANICS Optimum control of solid body rotationM. I. Zelikin 334 GEOPHYSICS Amplitude modulation of “sound by sound” in the ground of in the EarthA. L. Bagmet, V. E. Nazarov, A. V. Nikolaev, A. M. Polikarpov, A. P. Reznichenko 390 Isotope-carbon precursor of strong tectonic earthquakesG. I. Voitov, Sh. S. Yunusov 392 The estimate of heat generation in the sedimentary thickness East Caucasus (the Dagestan)I. O. Gargatsev, A. S. Batyrmurzaev, O. A. Mammaev 396 Lithosphere seismotectonic stress monitoring (structural and kinetic principle and basic elements of algorithm)O. I. Gusbchenko 399