Ordinary Differential Equations


Sufficient conditions for the oscillatoriness of the solutions of nonlinear differential equations with deviating argument Ya. V. Bykov, L. Ya. Bykova, E. I. Shevtsov

1555 

Certain questions of whether a linear optimal control problem with minimal pulse is wellposed. II. Dependence of the optimal trajectory on the initial state, on the perturbations and on the parameters T. Gichev

1561 

Movable singular points of a completely integrable first order total differential equation È. I. Grudo

1572 

Existence, uniqueness and convergence of successive approximations for differential equations of neutral type with lag M. E. Drakhlin, T. K. Plyshevskaya

1583 

A general class of systems of two differential equations that have no solutions with movable essential singularities S. G. Kondratenya

1593 

Nonselfadjoint abstract differential operators with discrete spectrum A. N. Kochubei

1601 

The averaging of the trajectories of slow dynamical systems S. M. Meerkov

1609 

The boundary of the set of controllability of plane holomorphic systems N. N. Petrov

1618 

Representation of the solutions of linear differentialdifference equations of neutral type V. M. Polischuk, A. N. Sharkovskii

1627 

Partial Differential Equations


Estimates of the fundamental potentials for parabolic equations of higher order. II E. A. Baderko

1646 

Asymptotic behavior of the solution of the equation $\mu^2\Delta uk^2(x,y)u=f(x,y)$ in a rectangular domain V. F. Butuzov

1654 

A certain method for the solution of partial differential equations V. M. Darevskii

1661 

A uniqueness theorem for a certain inverse problem for a system of hyperbolic equations of order $n$ S. Elubaev

1673 

Diffraction of electromagnetic waves in a cylinder by a sphere V. T. Erofeenko

1683 

Solution of a certain boundary value problem of the theory of the diffraction of waves for a region that is bounded by a plane and by the surface of an elliptic cylinder E. A. Ivanov, V. V. Makarova

1693 

The smoothness of the eigenfunctions of a compressed plate near the corners È. A. Pais

1700 

Normal solvability in the sense of Hausdorff of a certain nonlinear problem V. R. Portnov

1707 

Short Communications


Certain necessary conditions for the stability in the large of the zero solution of a certain system of $n$ nonlinear differential equations that satisfy generalized Routh–Hurwitz conditions L. I. Burganskaya

1718 

Necessary conditions for the optimality of multidimensional singular controls S. Ya. Gorokhovik

1721 

The Goursat problem over Gevrey spaces K. I. Kol'tsova

1725 

The optimal control of a system with free initial and final states in Hilbert space M. M. Kopets

1728 

Certain boundary value problems and their approximate solutions V. S. Mokeichev

1730 

A study of the set of periodic solutions of a certain system of second order differential equations without dissipation G. L. Yuzbashev

1734 