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 Science People Nikolaǐ Viktorovich Azbelev (on the occasion of his seventy-fifth birthday)N. A. Izobov, V. A. Il'in, I. T. Kiguradze, L. D. Kudryavtsev, V. P. Maksimov, T. K. Shemjakina 435 Ordinary Differential Equations Bifurcations of periodic motions in systems with a homoclinic saddle-focus loopS. A. Alekseeva, L. P. Shilnikov 440 The averaging method in the theory of stability of functional-differential equationsO. V. Anashkin 448 On Fourier transforms of functions from the Sobolev–Liouville class for the Schrödinger operator with a measurable and bounded potentialV. V. Gavrilov 458 On the local controllability of discrete systemsE. V. Duda, A. I. Korzun, O. Yu. Minchenko 462 Asymptotics of the eigenvalues for a boundary value problem with $\delta$-like coefficientsM. Yu. Zhukov, L. I. Sazonov 470 On the optimal control of almost periodic motions under equality and inequality constraints on the means. IIIA. G. Ivanov 478 Application of symbolic dynamics to verify the transversality conditionI. V. Il'in 486 Local controllability of characteristic Lyapunov exponents of systems with simple exponentsE. K. Makarov, S. N. Popova 495 Partial Differential Equations On a Riemann–Hilbert problem for a vector that is holomorphic in an infinite cylinderA. Abdushukurov 500 An initial-boundary value problem for a quasilinear wave equation in a spaceA. I. Vagabov 506 Stabilization of the solution of the Dirichlet problem for an elliptic equation in a Banach spaceA. V. Glushak 510 Investigation of the well-posedness of the generalized solution of the filtration consolidation problemR. Z. Dautov, M. I. Drobotenko, A. D. Lyashko 515 Cordes conditions and some alternative conditions for parabolic equations and Itô equations with discontinuous diffusionsN. G. Dokuchaev 522 Reinforced Sobolev spaces and some new types of elliptic boundary value problems. IE. G. D'yakonov 532 Investigation of quasi-singular processes in a problem of the control of a chemical reactorK. B. Mansimov 540 Stability of systems of difference equations with single internal resonanceN. I. Stolyarova 547 On a model of the motion of an incompressible viscoelastic Kelvin–Voigt fluid of nonzero orderT. G. Sukacheva 552 Short Communications On the stability of the Cauchy problem for quasilinear normal partial differential systemsS. V. Zhestkov 558 On the Cauchy problem for a second-order degenerate equationD. A. Korsakienė 560 Î ïî÷òè ïåðèîäè÷åñêîì ðåøåíèè ëèíåéíîé ñèíãóëÿðíî âîçìóùåííîé ñèñòåìûN. G. Panfilov 563 Estimates for spectral expansions of the eigenvectors of some classes of perturbed differential operatorsN. B. Uskova 564 The heat equation with a singular potentialB. A. Khudajgulyev 567 Uniqueness and stability of the solution of a problem with a directional derivative for a second-order equation of elliptic typeYang Guang-wu, Xu Ke-ming 570