Ordinary Differential Equations


On the generation of limit cycles from a separatrix contour in a threeparameter family of dynamical systems on orientable twodimensional manifolds A. N. Deryugin, A. Yu. Loskutov

1587 

Equiconvergence of biorthogonal expansions in root functions of differential operators. I V. M. Kurbanov

1597 

Controllability of linear discrete systems in a Banach space. II S. A. Minyuk

1610 

On the connectedness of values of a solution of a differential equation with multidimensional time without the complete integrability assumption A. D. Myshkis

1619 

Trajectories on a sphere that are generated by Lagrangians with higherorder derivatives Yu. N. Orlov, V. M. Suslin

1624 

The rotation method and singular numbers of threedimensional systems I. N. Sergeev

1630 

Partial Differential Equations


The wave equation with a boundary control at one end and the other end fixed V. A. Il'in

1640 

Multiparametric solutions of the Tzitzeica equation O. V. Kaptsov, Yu. V. Shan'ko

1660 

The Fourier method in the Cauchy problem and absolutely representing systems of exponentials. I Yu. F. Korobeinik

1669 

A boundary value problem of the first kind for some nonlinear differential equations with degeneration on manifolds of arbitrary dimensions Yu. D. Salmanov

1677 

$R$identity of secondorder elliptic operators with continuous coefficients M. R. Faradzheva

1684 

On the existence and stability of periodic solutions of an inhomogeneous hyperbolic equation M. Haydukevich, V. A. Chernyatin

1691 

On some properties of the parabolic potential of bulk masses. I M. F. Cherepova

1701 

Short Communications


Investigation of the stability of solutions of nonlinear systems with unbounded perturbations A. V. Platonov

1707 

A mixture of the Leray–Schauder and the Poincaré–Andronov methods in the problem of periodic solutions of ordinary differential equations V. V. Filippov

1709 

The method of small regular perturbations in the investigation of singular differential equations in a Banach space V. I. Fomin

1712 

Letter to the editor


Letter to the editors: “The trace of the LaplaceBeltrami operator with a potential on a Zoll surface” [Differ. Uravn. 35 (1999), no. 4, 528–539, 575; MR1719784] A. N. Bobrov

1713 