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 Ordinary Differential Equations On the stability of central and general indices of a piecewise-constant systemB. F. Bylov, È. A. Tikhonova 2115 On the question of factorization of a linear boundary value problemV. Ya. Derr 2123 A problem of optimal control of active moving objectsV. N. Kalinin 2136 Stability in the large of autonomous systems of two differential equations with two nonlinearitiesG. S. Krechetov 2144 On the convergence of spectral decompositions corresponding to a nonnegative selfadjoint extension of the Sturm–Liouville operator for functions from the class $H_p^\alpha$N. Lažetić 2149 On the optimal estimate of the interval of nonoscillation for linear differential equations with bounded coefficientsYu. A. Melentsova, G. N. Mil'shtein 2160 On a method for finding admissible controls in a linear system with phase constraintsL. D. Pustyl'nikov 2176 Smoothness of the Bellman function in differential games with fixed timeN. T. Tynyanskii, A. P. Suchkov 2185 Lyapunov stable classes of dynamic systems of perturbed motionsB. A. Shcherbakov 2195 Integral equations and difference equations Criterion for the nonoscillation of solutions of a difference equationA. A. Aizikovich 2201 Singular integral equations with non-Carleman shift on an open contourYu. I. Karlovich, V. G. Kravchenko 2212 On the solution in closed form of one-dimensional singular integral equationsI. I. Komyak 2224 On a numerical solution of singular integral equationsI. K. Lifanov 2238 Uniform stability of finite-difference equations in the case of parametric perturbationsA. P. Molchanov 2250 Short Communications Sufficient conditions for the solvability of two-point boundary value problems for a third-order differential equationS. A. Bespalova 2265 Investigation of spectral characteristics of some Sturm–Liouville operators used in crystal theoryM. M. Gekhtman, I. V. Stankevich 2269 On the asymptotic stability of the equilibrium state of a system of ordinary differential equationsV. P. Nagibin 2271 Submanifolds of codimension $1$ and the perturbation of homogeneous systemsG. S. Osipenko 2274 Investigation of a class of integral equationsL. I. Piterbarg 2278 Behavior of solutions of functional-differential equations with a bounded perturbationV. P. Skripnik 2280 On the sign of the Green function of a difference boundary value problemA. L. Teptin 2283