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 People of Soviet science Yuriǐ Alekseevich Mitropol'skiǐ (on the occasion of his seventieth birthday)N. P. Erugin, V. S. Korolyuk, O. B. Lukova 3 Partial Differential Equations On smoothness of the solution of a degenerate problem with a directional derivativeSh. A. Alimov 10 On an “almost” model boundary value problem for a higher-order parabolic equationE. A. Baderko 22 On a system of differential equations with operator coefficientsK. B. Baikuziev 29 Spectral theory of a problem of small oscillations of an ideal fluid in a rotating elastic vesselA. Garadzhaev 38 On the stabilization of means with respect to time for the difference of solutions of the Cauchy problem for hyperbolic equationsV. N. Denisov 47 A lower bound for the sum of squares of fundamental functions of a second-order selfadjoint elliptic operatorA. E. Evzhanov 62 The Tricomi problem for a parabolic-hyperbolic equation with a degenerate hyperbolic side. IN. Yu. Kapustin 72 Nonlocal boundary value problems for equations of mixed typeG. D. Karatoprakliev 78 On the theory of equations of mixed type with discontinuous coefficients. IM. G. Karatopraklieva 85 Second-order equations with an elliptic operator with respect to the space variablesA. G. Kuz'min 102 Estimates for the integral moduli of continuity of the higher derivatives of solutions of elliptic equationsM. Morales 113 Inverse problems for the determination of parameters of a nonstationary transport equation by overdeterminations of integral typeA. I. Prilepko, N. P. Volkov 124 On the solvability of inverse boundary value problems for the determination of the coefficient preceding the lower derivative in a parabolic equationA. I. Prilepko, V. V. Solov'ev 136 On certain problems of the quadratic regulator for linear hyperbolic equationsM. Rakhimov 143 On the Riesz means for root function expansions of certain nonlocal boundary value problemsYa. Sh. Salimov 155 A mixed problem of the plane theory of elasticity in regions with a piecewise-smooth boundaryA. P. Soldatov 161 Short Communications Asymptotic behavior of a spectral function of the Schrödinger operator with potential $q\in L_2(R^3)$R. R. Ashurov 169 On an inverse Hausdorff–Young inequality for eigen- and associated functions of the Sturm–Liouville operator with discontinuous coefficientsKh. M. Karov 172 On a nonlocal problem for functions harmonic in a multiply connected domainK. Yu. Kishkis 174 On the basis property of a system of sinesE. I. Moiseev 177