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 1990, Volume 26, Number 4

 Ordinary Differential Equations Frequency estimates for the Hausdorff dimension of the attractors of nonlinear systemsV. A. Boichenko, G. A. Leonov 555 Effective sufficient conditions for uniform local controllabilityL. I. Danilov, A. G. Ivanov 563 Singularly perturbed systems that contain singular manifolds, and isolated stable rootsE. G. Eroshkina 573 Vanishing Kneser solutions of the Emden–Fowler equationN. A. Izobov, V. A. Rabtsevich 578 The perturbation method for the asymptotic solution of a quasilinear time-optimality problemA. I. Kalinin 585 Frequency criteria for the existence of periodic solutions for systems with integral constraintsA. V. Megretski 594 On the solution of the Cauchy problem for infinite systems of differential equations that describe the process of multiphoton collisionless excitation of moleculesN. N. Rogovtsov 600 On a construction of an extension of a control problem with integral constraintsV. P. Serov, A. G. Chentsov 607 On a third-order nonlinear differential equationM. P. Sidorevich, N. A. Lukashevich 618 On the problem of continuous stabilization of nonstationary objectsB. V. Ulanov 622 Asymptotics of integral manifolds and the decomposition of singularly perturbed systems of neutral typeÈ. M. Fridman 626 Partial Differential Equations Some parabolic and elliptic equations in a Hilbert spaceO. D. Dyachkin 640 The existence of a solution of traveling wave type for the Belousov–Zhabotinskiǐ system of equationsYa. I. Kanel' 652 Diffusion of fractional orderA. N. Kochubei 660 Properties of generalized solutions of some degenerate equations of parabolic typeP. I. Mysovskikh 670 Elliptic inequalities for thin elastic bodies with a small friction coefficientS. A. Nazarov 677 On the global hypoellipticity property of a higher-order differential operatorNguyễn Minh Trí 687 On the continuation of microlocal smoothness of solutions of boundary value problems for a second-order hyperbolic equationS. E. Pastukhova 692 Analyticity of linear one-parameter Lie–Bäcklund groupsS. S. Titov 699 Short Communications On the behavior of solutions of a mixed boundary value problem for higher-order quasilinear elliptic equations of divergence typeT. S. Gadzhiev 703 On the Lyapunov stability of the Cauchy problem for linear partial differential systemsS. V. Zhestkov 706 Sufficient conditions for the stability of solutions of some classes of ordinary differential equations in critical casesYu. A. Konyaev 709 On the spectrum of ordinary differential pencilsYu. A. Mamedov 712 A system of nonorthogonal polynomials for constructing a solution of the Riquier problem in a ball for a semiharmonic equationG. Markhasev 714 On a geometric result in problems of periodic optimizationA. I. Perov, A. A. Tananika 718 Bifurcations and perturbations of an integral “torus-sphere” manifoldI. G. Rozet, V. V. Filinych 721 Solution of a linear partial differential system by the methods of $F$-monogenic functionsN. T. Stel'maschuk, S. B. Penchansky 724 Estimates for and asymptotic behavior of solutions of a two-dimensional boundary value problem for the Helmholtz equation with a coefficient that depends weakly on a variableS. L. Edelstein 727 Some expansions of arbitrary functions in integrals with respect to functions of a parabolic cylinderA. I. Moshinskii 730