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 Ordinary Differential Equations The Bessel inequality and the basis property of root functions of a second-order singular differential operatorO. V. Belyantsev 1011 Stabilization of bilinear systems on the plane by constant and relay controlsS. V. Emel'yanov, S. K. Korovin, A. S. Shepitko 1021 The invariance of essential spectra of Balslev–Gamelin–Fashian differential operators in the scale of Lebesgue spacesV. A. Erovenko 1029 The infinitesimal order of perturbations preserving the instability of a singular pointA. F. Filippov 1037 The properties of entire solutions of one differential equationZ. M. Sheremeta 1045 Partial Differential Equations A boundary value problem in a strip for partial differential equations in classes of tempered functionsA. A. Andryan 1051 Branching of a $C_1$ solution of a mixed problem for a system of telegraph equationsV. N. Gol'dberg 1060 Convergence of spectral expansions for functions of the Hölder class for two problems with a spectral parameter in the boundary conditionN. Yu. Kapustin, E. I. Moiseev 1069 A Cauchy problem with discontinuous initial data modeling propagation of vibrations in a rotating viscous compressible fluidS. L. Lyakhova 1075 A positional control problem for a nonlinear parabolic systemV. I. Maksimov 1085 Structural and qualitative properties of the inverse of the fractional integro-differentiation operator with fixed endpointsA. M. Nakhushev 1093 The Lavrent'ev–Bitsadze system: Solutions admitting infinite-order zerosA. P. Soldatov 1101 Solvability of a nonstationary thermal convection problem for a viscoelastic incompressible fluidT. G. Sukacheva 1106 On the statement of characteristic problems for symmetric first-order hyperbolic systemsS. S. Kharibegashvili 1113 The Dirichlet problem for a mixed-type equation in a rectangular domainM. M. Khachev 1123 Short Communications The exact descriptive type of the set of proper linear systemsA. N. Vetokhin 1128 Algebraically embeddable systems of total differential equationsP. B. Pauliuchyk 1130 The unique solvability of a two-point inverse problem for an abstract differential equation with an unknown parameterI. V. Tikhonov, Yu. S. Èidel'man 1132 Some estimates in $R^n$ for linear partial differential operatorsV. M. Tyurin 1134 The method of rotating Lyapunov functions in the stabilization problem for two-dimensional bilinear systemsV. V. Fomichev, A. S. Shepit'ko 1136 Boundary value problems with discontinuity conditions in an interior point of the intervalV. A. Yurko 1139 Chronicle Seminar on problems of nonlinear dynamics and control in Moscow State University 1141