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 Ordinary Differential Equations Solvability of a nonlinear boundary value problem in a fixed set of functionsS. A. Brykalov 2027 Criteria for the Bessel property and the Riesz basis property of systems of root functions of differential operators. IV. D. Budaev 2033 On the existence of limit cycles of the second kind of multidimensional phase synchronization systemsI. M. Burkin 2044 Boundaries of a set of characteristic exponents of linear differential systems with higher-order perturbationsI. A. Volkov 2050 Construction of dynamical systems on manifoldsI. A. Galiullin 2053 Existence theorems for solutions of differential inclusions with a lower semicontinuous right-hand side on a locally compact setV. V. Goncharov 2058 Properties of solutions of generalized differential equations of approximation type in $\mathbf R^n$A. I. Panasyuk 2065 Structural stability of a periodic system of differential equationsV. A. Pliss 2077 Partial Differential Equations First-order canonical elliptic systemsV. E. Balabaev 2082 A mixed problem with an integral condition for parabolic equations with a Bessel operatorN. E. Benuar, N. J. Yurchuk 2094 A mixed problem for an equation of plate-oscillation type that is degenerate at a finite moment of timeS. P. Lavrenyuk 2099 Qualitative properties of the Riemann functionM. E. Lerner 2106 Boundary value problems for degenerate pseudoparabolic and pseudohyperbolic systemsV. A. Malovichko 2120 On the uniqueness of the simultaneous determination of the coefficient in a quasilinear parabolic equation and the coefficient in the boundary conditionN. V. Muzylev 2124 Separability of an operator of mixed type and the completeness of its root vectorsM. B. Muratbekov 2128 Boundary value problems for degenerate systems of equationsV. K. Romanko 2138 On the method of $R$-functions and the method of integral equations in the solution of problems in mathematical physicsV. P. Titsky 2147 A nonlocal boundary value problem in a layer: the influence of the parameters on the properties of the solutionsL. V. Fardigola 2151 Short Communications Spectral properties of the differential operator $\frac d{dt}-A_0$ with an unbounded operator $A_0$A. G. Baskakov 2162 Abstract formulas for regularized traces of elliptic smooth differential operators defined on compact manifoldsV. V. Dubrovskii 2164 On the number of cycles of some differential equations on a two-dimensional torusE. K. Ershov 2167 On the theory of complete controllability of systems with aftereffect involving constraints on the controlS. A. Minyuk 2169 Regularization of variational inequalities with perturbed nonmonotone and discontinuous operatorsNguyen Minh Chuong, Nguyễn Van Kin 2171 Uniqueness of the solution of an exterior inverse potential problem in convex domainsG. A. Pavlov 2172 On the existence of generalized optimal controls in systems with delay in the controlV. G. Pimenov 2174 A generalization of the Eshukov boundary value problemV. P. Rudakov 2177 On the first variation in the theory of optimal control of systems with distributed parametersM. I. Sumin 2179 Calculation of the Kronecker–Poincaré index of algebraic curves with respect to algebraic fields on the planeA. Yu. Uteshev 2181 On the Muckenhoupt condition and the V. A. Il'in condition in the question of the basis property of systems of exponentialsM. A. Mustafin 2183 People of Soviet science Viktor Aleksandrovich Pliss (on the occasion of his sixtieth birthday)N. N. Krasovskii, L. D. Kudryavtsev, G. A. Leonov, Yu. S. Osipov, S. Yu. Pilyugin 2186 Letters to the Editor Letter to the editors: “Methods for constructing positional controls, and a feasible maximum principle” [Differentsial'nye Uravneniya 26 (1990), no. 11, 1914–1924; MR1092085]V. I. Korobov, G. M. Sklyar 2201 Letter to the editors: “Some differential-topological problems in control theory”A. A. Liverovskiy, N. N. Petrov 2201