Ordinary Differential Equations


Nonmonotone Lyapunov functionals. Conditions for the stability of equations with delay I. V. Gaishun, L. B. Knyazhishche

1291 

Ordinary differential equations with discontinuous righthand sides V. V. Filippov

1299 

Periodic relaxation solutions of a nonlinear autonomous system of differential equations that describes the kinetics of a chemical reaction A. V. Shobukhov

1307 

Partial Differential Equations


A model elliptic equation with a $\delta$like coefficient A. B. Antonevich, N. V. Fursenko

1317 

Energy estimates for solutions and unique solvability of the Fourier problem for linear and quasilinear parabolic equations N. M. Bokalo

1325 

Pointwise stabilization of solutions of parabolic equations with periodic coefficients in a punctured space K. V. Valikov

1335 

Asymptotic expansion of the solution of a mixed problem for the wave equation in the exterior of vanishing and nontrapping obstacles M. I. Ganzha

1350 

Onesided estimates for the solutions of the Cauchy problem for secondorder parabolic equations in classes of rapidly growing functions. II L. I. Kamynin, B. N. Khimchenko

1362 

On the uniform boundedness of solutions of nonlinear elliptic variational inequalities in variable domains A. A. Kovalevsky

1370 

On the regularization and correction of noncoercive nonlinear equations of monotone type M. Yu. Kokurin

1374 

On the stationary Lyapunov problem for a system of firstorder quasilinear partial differential equations N. B. Konyukhova

1384 

On the solvability of a conjugation problem that describes the diffusion of admixtures in silicon V. I. Korzyuk, E. S. Cheb

1396 

A mixed problem for a strongly degenerate evolution system S. P. Lavrenyuk

1405 

A boundary value problem for evenorder differential equations whose operator coefficients have variable domains F. E. Lomovtsev

1412 

On the uniqueness of the solution of the problem of determining the shape of a periodic surface from the inverse scattering data A. G. Mikheev

1426 

An asymptotic relationship between solutions of different nonlinear equations for large time values. II P. I. Naumkin, I. A. Shishmarev

1432 

The averaging of a mixed problem with an oblique derivative for an elliptic operator in a perforated domain S. E. Pastukhova

1445 

On an eigenfunction for a boundary value problem in a disk E. G. Sitnikova

1457 

Short Communications


Smooth orbital equivalence in a neighborhood of a singular point on a plane I. U. Bronshtein, I. V. Nikolaev

1462 

Boundedness of normalized eigenfunctions for the Sturm–Liouville problem with minimal constraints on the smoothness of the coefficients V. Ya. Yakubov

1465 