Ordinary Differential Equations


The comparison method for differential equations with impulse action M. U. Akhmetov, N. A. Perestyuk

1475 

Some identities for eigenvalues and eigenfunctions of a class of fourthorder differential operators R. Sh. Bakuradze, I. V. Stankevich

1483 

Positivity of the Cauchy function and stability of linear differential equations with aftereffect L. M. Berezanskii

1490 

An analogue of the Newton diagram method for a class of singularly perturbed differential equations. II G. S. Zhukova

1500 

“Hereditary” properties of systems of operator equations Yu. F. Korobeinik

1510 

Optimal trajectories of differential inclusions in a problem with constraints on the ends of the trajectories L. I. Minchenko

1521 

Testing the transversality condition by the methods of symbolic dynamics G. S. Osipenko

1528 

A spectral problem that is connected with an equation of viscous sound V. N. Pyvovarchyk

1536 

A class of linear differential and discrete games between groups of pursuers and evaders N. Yu. Satimov, M. Sh. Mamatov

1541 

Estimates for the solutions of an ordinary differential equation with a parameter and functional conditions S. Ya. Yakubov, È. Ch. Ibragimov

1551 

Partial Differential Equations


On an inverse problem for the Laplace operator with continuous potential V. V. Dubrovskii, A. V. Nagornyi

1563 

A threepoint mixed problem with an integral condition with respect to the space variable for secondorder parabolic equations A. V. Kartynnik

1568 

The Tikhonov problem for secondorder linear parabolic equations Ya. S. Kushitsky

1576 

Boundary value problems for systems of thirdorder differential equations V. A. Malovichko

1585 

Some integral expansions of an arbitrary function in Legendre function A. I. Moshinskii

1589 

Solvability of linear differential equations in scales of Roumieu spaces that are constructed by means of a given unbounded linear operator V. I. Nazarov

1598 

Estimates for potentials with oscillating kernels that are connected with the Helmholtz equation V. A. Nogin, B. S. Rubin

1608 

On a problem of determining the parameter of an evolution equation D. G. Orlovskii

1614 

Solvability of the Dirichlet problem for multidimensional elliptic systems Sh. B. Khalilov

1621 

Uniqueness classes of generalized solutions of boundary value problems for parabolic equations in unbounded noncylindrical domains A. E. Shishkov

1627 

Short Communications


$L_2$estimates of the solution of model initialboundary value problems for a system of two equations of general form with mixed parabolicelliptic structure M. A. Abdrachmanov

1634 

Asymptotic expansion with respect to the small parameter of the solution of an equation of elliptic type with a discontinuous coefficient and righthand side V. B. Bukashkin, V. G. Sushko

1636 

An inverse problem of spectral analysis on a halfline for a differential equation in a certain class M. S. Eremin

1638 

Existence of solutions that are smooth with respect to the parameter for singularly perturbed equations V. I. Kachalov

1641 

Numerical solution of a nonlinear Poisson equation for an electric potential in semiconductors M. M. Khapaev (Jr.)

1643 

Investigation of the stability of linear differentialfunctional equations of retarded type by the method of Lyapunov functions D. Ya. Khusainov

1645 

Exponential decrease of the solutions of linear systems with deviating argument of neutral type D. Ya. Khusainov

1647 

Analytic structure of solutions of the Sturm–Liouville problem with regular singularities M. V. Fedoryuk

1648 