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 Partial Differential Equations Smoothness of a $2m$-parabolic potential of a simple layerE. A. Baderko 3 The basis property of some systems of exponentials of cosines and sinesB. T. Bilalov 10 Construction of regularizers for elliptic boundary problems on the planeV. S. Vinogradov 16 Perturbations of the point spectrumA. A. Dezin 23 Stabilization of a solution of the Cauchy problem for parabolic and hyperbolic equationsV. N. Denisov 30 Problems of the continuation of functions in connection with averaging theoryV. V. Zhikov 39 A nonlocal boundary value problem for a two-dimensional Stokes systemN. A. Zhura 50 The Dirichlet problem and nonlocal boundary value problems for the wave equationT. Sh. Kal'menov, M. A. Sadybekov 60 Solvability in the class $L_2$ of a problem with a boundary condition on a characteristic for a hyperbolic equation with order degenerationN. Yu. Kapustin 66 Some results concerning Cauchy problems for overdetermined systems of linear differential equationsM. V. Korovina 75 Estimates that are sharp with respect to order for eigen- and associated functions of an elliptic operator and their derivativesA. S. Makin 85 Solution of the Tricomi problem in special domainsE. I. Moiseev 93 Regularized traces of a differential operator of Sturm–Liouville type with retarded argumentM. T. Pikula 103 A study of problems of the uniqueness of solutions in some nonlinear inverse problems in hydrodynamicsA. I. Prilepko, I. A. Vasin 109 Model nonlocal problems for elliptic equations in dihedral anglesA. L. Skubachevskii 120 Boundary properties of Cauchy-type integralsA. P. Soldatov 131 A complex-analytic Cauchy problem in a bounded domainB. Yu. Sternin, V. E. Shatalov 136 The unconditional basis property of root vectors of nonlocal problems for systems of equations with deviating argumentsV. V. Tikhomirov 147 Short Communications Uniqueness of the classical solution of a mixed problem for a hyperbolic equation with unbounded lower coefficientsV. M. Govorov, È. K. Safiev 154 The Riquier–Tricomi problem for a diskM. M. Zainulabidov 157 The basis property of root vectors of discontinuous second-order operators in a space of vector-functionsI. S. Lomov 160 On some eigenvalue problems for an equation of mixed typeYa. N. Mamedov 163 Summability of root vector series of nonlocal elliptic problems by the Abel methodM. A. Mustafin 167 A boundary value problem for an equation of moisture transferO. A. Repin 169 Some properties of root vectors of a binomial fourth-order differential operatorA. M. Sarsenbiev 171 Solution of a boundary value problem for a parabolic system on a plane by the method of boundary integral equationsV. A. Tveritinov 174 A problem for harmonic functions with boundary values of a higher-order normal derivativeChoi Sung Bong 175 Some conditions for the solvability of equations of convolution typeYu. A. Grigor'ev 178