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 Solution of the Cauchy problem for a system of elasticity theory in an arbitrary domainM. L. Rasulov 1543 A problem on the diffraction of a dipole field by a circular opening in a plane screen in the presence of a circular disc coaxial with itE. A. Ivanov 1552 Certain questions on the stability of differential equations with aftereffectS. N. Shimanov, G. S. Yudaev 1562 On the question of the asymptotic behavior of the solutions of Volterra's linear integral equationsZ. B. Tsalyuk, M. M. Shamsutdinov 1567 Certain properties of the integrating fractorN. F. Otrokov 1574 An analysis of a discrete relay system on the phase planeE. I. Gerashchenko, V. A. Gustomesov 1587 Second solutions of the nonlinear de la Vallée Poussin problemYu. V. Pokornyi 1599 Differentiability with respect to the functional parameter of the solutions of differential equations with lagM. Kiselevich 1606 A stationary integro-differential transport equationS. F. Morozov 1615 A mixed problem for certain pluriparabolic differential equationsN. I. Brisch, N. J. Yurchuk 1624 The Dirichlet problem for elliptic equations with unbounded lowest coefficients. I, IIN. I. Brisch, I. N. Yashkina 1631 Weak solutions of quasilinear parabolic equationsG. N. Yakovlev 1643 Analytic continuation of the Dirichlet series of elliptic boundary value problems. I, IIV. E. Shatalov, I. A. Shishmarev 1652 Boundary estimates of the derivatives of the solutions of a certain class of hypoelliptic equations in the $L_2$ metricA. S. Fokht 1673 On the question of the stability of a certain discontinuous solution of the equations of gas dynamicsA. I. Karagodov 1683 Some new integral transformsI. S. Zeinalov 1691 The application of the method of wave regions to the solution of a mixed problem for quasilinear hyperbolic equations with self-regulating lagK. K. Gasanov 1697 Short Communications The extension of Bendixson's method for a two-dimensional system to multidimensional analytic systemA. A. Shestakov 1708 The real singular points of the solutions of second order nonlinear differential equationsA. V. Kostin 1713 Construction of adjoint differential systems in the analytic caseS. S. Belyavsky 1716 The oscillatoriness of the solutions of a second order nonlinear equation with a sign-variable coefficientI. V. Kamenev 1718 Second solutions of equations with positive operatorsI. N. Astafieva 1722 The stability of the solution of the Dirichlet problem for an elliptic equation under a perturbation in measure of its coefficientsP. K. Senatorov 1725 A certain variant of the method of collocation by linesYu. P. Jarcev 1727