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 Ordinary Differential Equations Some questions on the controllability of two-dimensional systemsN. K. Alekseev 387 A priori estimates of the solutions of a two-point boundary value problemN. A. Bobylev 398 Limit cycles and Darboux integrals in the case of a nodeM. V. Dolov 406 On the problem of the decomposability of linear systemsYu. I. Elefteriadi 416 Extremal arcs and extended Hamiltonian systemsF. Clarke 427 Topological equivalence of linear actions of $\mathbf R^2$ on $\mathbf R^n$N. N. Ladis 443 Observability of dynamical systems with lag by a group of filtersV. V. Mulyarchick 449 Asymptotic finite-dimensionality of the space of solutions of a certain class of systems with lagP. S. Pankov 455 The index of a singular point of the equation $y'=\frac{P_4(x,y)}{Q_4(x,y)}$P. T. Cherevichny 463 A problem with nonlocal boundary conditions for operator-differential equations of odd orderV. I. Chesalin 468 Partial Differential Equations The mixed boundary value problem for a second order linear elliptic equationT. M. Kerimov 477 Uniqueness and membership in the class $W_2^1$ of the classical solution of a mixed problem for hyperbolic systems of A. V. Bicadze type in an arbitrary cylinderN. M. Krukovskii 481 The variational method for the solution of degenerate elliptic equations in a half-spaceI. I. Matveeva 489 Solution of a mixed problem for a second order parabolic equation under boundary conditions of mixed typeM. L. Rasulov, Ya. M. Suleimanov 497 On the problem of determining the right hand side of hyperbolic systemsV. G. Romanov 509 Completely continuous imbeddings in weighted classes of functions, and conditions for discreteness of the spectrum of a nonregular elliptic operatorJ. V. Rybalov 516 The plane inverse problem for magnetic potentialP. B. Sulyandziga 529 The behavior near the boundary of the derivatives of the solution of a certain boundary value problemM. F. Timan 538 A uniqueness theorem for a certain inverse problem for a hyperbolic equationV. G. Yakhno 544 Short Communications The entire solutions of a linear functional-differential systemI. Ya. Viner 552 Complete controllability of linear systems with variable structureB. S. Kalitin 556 Multivariable control systemsL. E. Kanarev 559 The controllability of a linear system in a Banach spaceM. M. Kopets 561 Über eine singuläre Integralgleichung auf der Riemannschen Fläche einer algebraischen FunktionV. E. Kruglov 564 A support principle for difference inclusionsL. I. Minchenko 567