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 Ordinary Differential Equations Summation of regularized traces of the singular Sturm–Liouville operatorE. V. Aleksandrova, O. V. Bochkareva, V. E. Podolskii 291 On differential equations of the Fuchs class associated with the conformal mapping of circular polygons in polar gridsÈ. N. Bereslavskii 296 Explicit solution of a linear ordinary differential equation and a basic property of the exponential functionV. A. Vinokurov 302 Bounded and periodic solutions of the Riccati operator equation with an unbounded operatorA. Ya. Dorogovtsev, T. A. Petrova 309 On the optimal control of almost periodic motions under equality and inequality constraints on the means. IIA. G. Ivanov 316 Spectral expansions that correspond to the Liouville operator generated by the Schrödinger operator with a matrix potential satisfying the Kato conditionV. A. Il'in, A. V. Kurkina 324 Algorithms for the inversion of linear scalar dynamical systems: the controlled model methodA. V. Il'in, S. K. Korovin, V. V. Fomichev 329 Approximation of a linear stabilization setV. A. Kamenetskii 340 On first integrals of functional-differential equationsA. V. Kim 347 On the ordered spectral representation of the space $L_2(\mathbf R)$ with respect to the Stark-effect Hamiltonian of regular type. IIL. V. Kritskov 351 On the Hausdorff–Young inequality for systems of root vector functions of an $n$th order differential operatorV. M. Kurbanov 358 Stability in problems of mechanicsYu. V. Malyshev 368 An estimate for the remainder term in the Wiman–Valiron relation and its applicationA. Z. Mokhon'ko, V. D. Mokhon'ko 373 On bifurcations of periodic motions near a structurally unstable homoclinic curveO. V. Sten'kin, L. P. Shilnikov 377 On the change in the number of discontinuity points of singular periodic solutionsYu. V. Churin 385 An inverse problem for systems of differential equations with nonlinear dependence on the spectral parameterV. A. Yurko 390 Numerical methods Iterative methods for solving filtration problems with a discontinuous law with a limit gradientI. B. Badriev, O. V. Pankratova, R. R. Shagidullin 396 Methods for solving singular integral equations with positive operatorsB. G. Gabdulkhaev 400 Difference schemes of a high-order of accuracy for degenerate systems of differential equations on nonuniform gridsV. L. Makarov, Yu. Yu. Khamraev 410 Short Communications On a third-order system with a cubic nonlinearityN. S. Berezkina, I. P. Martynov, V. A. Pron'ko 416 On the structure of the minimal global attractor of multidimensional systems with a unique equilibrium positionI. M. Burkin 418 A uniqueness theorem for the solution of inverse problems in spectral analysisV. V. Dubrovskii 421 Sufficient conditions for the stability of stochastic systemsR. I. Kadiev 423 On the justification of the Galerkin method for noncoercive elliptic equations with a monotone nonlinearityM. Yu. Kokurin 425