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 People of Soviet science Konstantin Sergeevich Sibirskiǐ (on the occasion of his 60th birthday) 371 Ordinary Differential Equations Flickering systemsI. N. Blinov 376 An approach to the construction of the asymptotics of the solution of the singularly perturbed Cauchy problem with initial values of the unknown functions that are unbounded with respect to the parameterV. Ya. Glizer 383 Determination of the characteristic vectors of functions of several variables and of stability in the first approximationÈ. I. Grudo, P. G. Lasy 389 Stability of homogeneous semigroupsM. I. Letavin 393 Existence of strong solutions of differential equations in a Hilbert spaceV. I. Maksimov 398 Sufficient conditions for optimality in problems with delaysM. D. Mardanov 408 Investigation of the stability of autonomous singularly perturbed systems on the basis of matrix Lyapunov functionsA. A. Martynyuk, V. G. Miladzhanov 416 Algebraic operations that are consistent with the dynamics of continuous nonlinear control systemsA. I. Panasyuk 425 Partial Differential Equations A criterion for the absolute $\bar{c}$-stability of partial differential equationsV. M. Borok 438 On the existence of solutions of the Cauchy problem and of linear boundary value problems for a second-order parabolic equation in an unbounded domain. IIL. I. Kamynin 445 The variational Dirichlet problem for an elliptic operator that is degenerate on the boundaryN. V. Miroshin 455 Regularity classes of bilinear forms, and nonlinear elliptic boundary value problemsA. I. Perov, V. L. Khatskevich 464 On third-order degenerate operator-differential equationsN. M. Yataev 477 Integral Equations and Integral-Differential Direct methods for solving a singular integro-differential equationM. G. Akhmadiev 482 The one-sided invertibility of functional operators and the $n(d)$-normality of singular integral operators with shift in Hölder spacesYu. I. Karlovich, R. Mardiev 488 Stability in the large of integro-differential equations of nondirect control systemsG. A. Leonov, V. B. Smirnova 500 Completeness of the root vectors of a system of integro-differential equations of reactor kineticsR. S. Makin 508 Eigenvalues and eigenfunctions of an integro-differential operatorA. I. Perov, E. G. Glushko, I. G. Tyuleneva 516 Short Communications An inverse problem for a system of parabolic equationsA. Ya. Akhundov 520 Application of Lyapunov functions to the investigation of the interval of existence of a solutionB. V. Zadvornyi 522 Uniqueness of the solution of the Tricomi problem for an equation of mixed typeA. A. Kosovets 523 The Green function of a differential-difference equationV. G. Kurbatov 525 Spline methods for solving a class of integro-differential equationsA. I. Leonov 527 Propagation of flexural waves through an inhomogeneous plate with slowly changing parametersG. S. Markosyan 530 On the alternative method for the biharmonic equationG. Markhasev 532 Autonomous Hamiltonian systems with univalent moving singularitiesV. I. Matatov, S. N. Filippovich 534 Degenerate nonlinear elliptic differential equations of infinite order in weighted Sobolev–Orlicz spacesNguyen Minh Chuong, Le Kuang Chung 535 Rate of decay of the solutions of some elliptic and ultraelliptic equationsS. M. Sitnik 538 Asymptotic behavior of the solutions of basic mixed problems in the exterior of a compact set for an equation of the propagation of perturbations in elastoviscous mediaI. V. Suveyka 539 An estimate for the solutions of systems of differential equations on an asymptotically large segment by the averaging methodO. P. Filatov 542 Letters to the Editor Letter to the editor: “Estimates for localized unbounded solutions of quasilinear parabolic equations”V. A. Galaktionov, S. A. Posashkov 545