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 Ordinary Differential Equations The averaging method in the theory of perturbations of linear differential operatorsA. G. Baskakov 555 The direction vector method for investigating the stability of singular points of nonlinear systems. I. TheoryA. V. Zhevnyak 562 The behavior of solutions of a quasihomogeneous system in the neighborhood of a nonsimple exceptional directionM. A. Ivanov, O. A. Ivanov 572 Kneser solutionsN. A. Izobov 581 Oscillatory properties of a class of differential equations with deviating argumentD. V. Izyumova, I. T. Kiguradze 588 Synthesis of optimal control for systems described by a hyperbolic equationA. Z. Ishmukhametov 597 Nonlocal problems in the theory of optimal processes. IA. Ya. Narmanov, N. N. Petrov 605 Perturbation of invariant manifolds. IG. S. Osipenko 615 Controllability of time-dependent linear systemsV. P. Panteleev 623 Sufficient conditions for optimality of control of an ensemble of trajectories of nonlinear dynamical systemsV. V. Semenov, A. V. Panteleev 628 Trace formulas for a singular differential operator with a turning pointA. A. Stakun 636 Construction of analytic functions that conformally map a half plane onto circular polygonsA. R. Tsitskishvili 646 Partial Differential Equations Simplest types of ordering in open dissipative systemsT. S. Akhromeeva, G. G. Malinetskii 657 Selfadjointness in essentially semibounded higher-order elliptic operatorsA. G. Brusentsev 668 A generalization of the characteristic problem for hyperbolic systemsM. P. Grigolia 678 On the theory of parabolic pseudodifferential operators of variable orderNguyen Minh Chuong 686 Determination of the parameter of an evolution equation and inverse problems of mathematical physics. IIA. I. Prilepko, D. G. Orlovskii 694 Solvability of elliptic problems with boundary conditions of Bitsadze–Samarskiǐ typeA. L. Skubachevskii 701 Asymptotic behavior with respect to the parameter of the solution of a higher-order elliptic equation in a neighborhood of the line of degeneracy of the limit equationYu. Z. Shaygardanov 706 Short Communications A boundary value problem with a matrix parameterM. Barnovska 716 Analytic solution of a static boundary value problem of the plane theory of elasticityV. A. Dobrushkin 717 Some cases of the integrability of differential equations of the form $y"+p(x)y'+h(x)y+f(x)F(y,k(x))=0$S. A. Zolotarev 720 Some properties of modified Kontorovich–Lebedev integral transformationsYu. M. Rappoport 724 Some criteria for discreteness of the negative part of the spectrum of a linear differential operatorV. I. Filippenko 728