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 MATHEMATICS Pleated surfaces in hyperbolic manifolds, and Teichmüller spacesB. N. Apanasov, A. V. Tetenov 7 Differential equations with unbounded operator coefficients in Hilbert spacesG. I. Aslanov 10 On the Lyapunov chain of stability criteria in the critical case of a Jordan $2$-cellL. G. Kurakin 14 On partial differential equations that reduce to new classes of special functionsYu. D. Pletner 17 A numerical method for solving inverse scattering problemsA. G. Ramm 20 MATHEMATICAL PHYSICS Formulas in inverse problems for differential equations and inequalitiesYu. E. Anikonov 23 Diffraction of electromagnetic waves on thin cylindrical superconducting shellsV. F. Kravchenko, V. T. Erofeenko 25 PHYSICS Numerical simulations of the long living consequences of a comet Shoemaker-Levy-9 impact with JupiterB. A. Klumov, V. I. Kondaurov, A. V. Konyukhov, M. V. Meshcherjakov, S. V. Utyuzhnikov, V. E. Fortov 28 MECHANICS On some two-dimensional hydrodynamical problem concerning the calculation of the waterway opening structureYa. R. Berman, O. M. Kiselev, V. D. Shterenlicht 36 Universal friction law for a turbulent boundary layer on a plate with blowingI. I. Vigdorovich 39 Nonlinear design of bounded controls under noiseV. I. Vorotnikov 44 Functionals and measures of irreversibility on process sets in continuum mechanicsA. A. Il'yushin 48 The theory of gravitational fields in general and special relativity with account taken of the potential energy of moving massesL. I. Sedov 51