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 Correctness of Dirichlet problem for degenerating multi-dimensional hyperbolic-parabolic equationsS. A. Aldashev 3 Asymptotic behavior of generalized eigenvalues of the Schrödinger operatorM. Sh. Badakhov, O. Y. Veremeenko, A. B. Shabat 9 Investigation of generalized Hardy inequality via a system of nonlinear differential equations in weighted Lebesgue spaces with mixed normR. A. Bandaliev 16 On a solution operator for differential equations of infinity order on convex setsU. V. Barkina, S. N. Melikhov 27 Solutions of the differential inequality with a null Lagrangian: higher integrability and removability of singularities. IIA. A. Egorov 41 Homogeneous polynomials, root mean power, and geometric means in vector latticesZ. A. Kusraeva 49 A convergence criterion of a smoothing method for singular integral operators with piecewise continuous coefficientsV. S. Pilidi 54 The edge $C_k$ graph of a graphP. Siva Kota Reddy, K. M. Nagaraja, V. M. Siddalingaswamy 61 A mathematical model of the system status “coal–fluid” for the coal-beds outburst zoneYu. A. Ustinov, V. N. Trufanov 65 Mathematical Events Vladimir Mikhailovich Tikhomirov (on the occasion of his 80th anniversary)S. S. Kutateladze 70 In memoriam of Edward NelsonS. S. Kutateladze 72