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 Ordinary Differential Equations On a scheme for studying cycles of nonlinear systemsN. A. Bobylev, A. V. Bulatov, S. K. Korovin, A. A. Kutuzov 3 Some properties of root functions of differential operators that are connected with the unconditional basis propertyV. D. Budaev 9 The curve of separatrix cycles of an autonomous quadratic system in the plane. The case of two anti-saddlesS. I. Dovnar, L. A. Cherkas 15 Some estimates for root functions of a matrix differential operator with a diagonal-matrix eigenvalueA. V. Dyadechko 22 An estimate, uniform on the whole line $\mathbb R$, for the rate of convergence of a spectral expansion corresponding to the Schrödinger operator with a summable potentialV. A. Il'in, L. V. Kritskov 32 On necessary and sufficient conditions for the basis property of systems of root functions of a differential operatorN. B. Kerimov 37 The potential method in a linear time-optimality problemYu. N. Kiselev, M. V. Orlov 44 Singular Cauchy problems for singularly perturbed systems of nonlinear ordinary differential equations. IN. B. Konyukhova 52 Distribution of eigenvalues for uniformly minimal systems of root functions of ordinary differential operatorsL. V. Kritskov 62 On the rate of convergence of biorthogonal series connected with second-order differential operatorsI. S. Lomov 71 Partial Differential Equations On the convergence of Riesz means of spectral expansions that correspond to the Schrödinger operator with a singular potentialN. S. Buzurnyuk, V. S. Serov 83 The generalized Fourier method for solving mixed problems for nonlinear equationsA. I. Vagabov 90 On the semidiscretization method in the problem of periodic solutions of quasilinear autonomous parabolic equationsI. N. Gurova, M. I. Kamenskii 101 On some problem of the reconstruction of a boundary condition for a parabolic equation. IA. B. Kostin, A. I. Prilepko 107 On the differential properties of expansions in a system of sines and cosinesE. I. Moiseev 117 Short Communications On the construction of solutions of linear difference systems with continuous timeM. G. Blizorukov 127 On a method for solving a form of integral equations of the first kindA. N. Zarubin 129 On solutions, bounded on the half-axis, of nonlinear differential equationsV. N. Laptinskii 131 On a boundary value problem for the Schrödinger operator with a complex potentialA. S. Makin 133 On the expansion of the solution of the generalized Gellerstedt problem in a biorthogonal seriesA. A. Polosin 135 On a connection between the solutions of a linear differential equation and solutions of a conjugate equationA. K. Svinin 138