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 Partial Differential Equations On the regularized trace of a higher-order differential operator with a bounded operator coefficientM. S. Almamedov, V. I. Katanova 3 Boundary value problems for a parabolic equation, and boundary integral equationsE. A. Baderko 17 Criteria for the Bessel property and the Riesz basis property of systems of root functions of differential operators. IIV. D. Budaev 23 On a uniform estimate for the asymptotic solution of the Cauchy problem for a singularly perturbed wave equationA. Burkitov, T. Sh. Kal'menov 33 A plane mixed problem with delay conditions for a hyperbolic equationA. I. Vagabov 41 On elementary nonlinear problemsA. A. Dezin 52 Some properties of the solutions as $t\to\infty$ of the iterated heat equationV. N. Denisov 59 On the asymptotics of the spectral function of differential operators in $L_p(M)$V. V. Dubrovskii 69 On a problem conjugate to the generalized Tricomi problem for the Lavrent'ev–Bitsadze equationN. O. Egisbaev, M. A. Sadybekov 75 Boundary value problems of Bitsadze–Samarskiǐ type for systems that are elliptic in the Douglas–Nirenberg senseN. A. Zhura 81 Differential equations of hyperbolic typeE. A. Larionov 91 Sharp estimates, with respect to order, for root functions of a second-order elliptic operatorA. S. Makin 97 Some boundary value problems for equations of mixed typeE. I. Moiseev 110 Generalized solutions for the Whitham equationP. I. Naumkin, I. A. Shishmarev 121 Absolute convergence of spectral expansions of operators with a singularityV. S. Serov 127 On the Fredholm property of a system of pseudodifferential equations in the problem of diffraction by a bounded screenYu. G. Smirnov 136 On a Carleman-type problem for elliptic systemsA. P. Soldatov 143 On the problem of the continuation of solutions for elliptic equationsB. Yu. Sternin, V. E. Shatalov 152 On the asymptotic behavior with respect to the small parameter of a boundary value problem for a second-order quasilinear elliptic equation that degenerates into a parabolic oneR. A. Èyubov 163 Short Communications Completeness and minimality of a trigonometric system of functionsB. T. Bilalov 170 A nonlocal boundary value problem for a parabolic-hyperbolic equation with a characteristic line of change of typeO. A. Repin 173 Spectral properties of a class of boundary value problems for a parabolic-hyperbolic equationM. A. Sadybekov, G. D. Toyzhanova 176