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 MATHEMATICS A criterion for strong solvability of the Tricomi problem for the Lavrent’ev–Bitsadze equationA. B. Bazarbekov, T. Sh. Kal'menov 265 On eigenelements of nonregular differential pencils with indecomposable boundary conditionsA. I. Vagabov 268 Adaptive optimal control of certain Markov processesE. I. Gordienko 271 Models for complex representations of the groups $\mathrm{GL}(n,g)$ and Weyl groupsA. A. Klyachko 275 On the theory of the third boundary value problem for second order linear elliptic equationsA. A. Novruzov 278 On the asymptotic properties of polynomials orthogonal on the real axisE. A. Rakhmanov 282 The structure of a shock wave in a mixture of gasesG. A. Ruev, V. M. Fomin, N. N. Yanenko 285 Regularized traces of discrete operatorsV. A. Sadovnichii, V. A. Lyubishkin 290 On density and co-density of the solution set of a differential inclusion in a Banach spaceA. A. Tolstonogov 293 CYBERNETICS AND THE REGULATION THEORY On the concept and construction of generalized accessibility sets for linear controllable systems described by partial differential equationsA. V. Lotov 297 MECHANICS Variational principles in the problem of averaging random structuresV. L. Berdichevsky 301 FLUID MECHANICS Systematization of experimental data on the resistance of turbulent flow between two rotating cylinders (Couette flow)V. A. Pavlovsky 305 Distribution of dynamic pressure over the body of an actively swimming dolphinE. V. Romanenko 310 THEORY OF ELASTICITY Two-dimensional dynamical problems for elastic bodies with initial stressesA. N. Guz, S. Yu. Babich 313 GEOPHYSICS Convection structure at fast rotationG. S. Golitsyn 317 On the Earth thermal regimeV. N. Zharkov 321 Triboelectric effect of rocksÈ. I. Parkhomenko, M. Ya. Batbachan 325 MATHEMATICAL PHYSICS Numerical realization of the boundary-variation method in stationary-filtration problemsB. A. Belov, E. V. Radkevich 329 Monte Carlo methods for computation of integrals of complex-valued functions and Feynman path integralsA. P. Vinogradov, V. S. Filinov 333 A method for solving problems of electromagnetic wave diffraction on infinitely thin cylindrical screensA. G. Davydov, E. V. Zakharov, Yu. V. Pimenov 338 PHYSICS The quantitative determination of oil components in water by laser spectral methodsV. V. Fadeev, V. V. Chubarov 342 Tunneling in the system $\mathrm{GaAs}$–$\mathrm{V}$ and $\mathrm{GaAs}$–$\mathrm{V}_3\mathrm{Si}$V. Yu. Fedotov, E. M. Savitskii 346 CRYSTALLOGRAPHY Crystal structure of a new monoclinic modification of high-temperature $\mathrm{TR}$–$\mathrm{Al}$-borate, $\mathrm{GdAl}_3(\mathrm{BO}_3)_4$E. L. Belokoneva, A. V. Pashkova, T. I. Timchenko, N. V. Belov 361