Ordinary Differential Equations


On the theory of optimal processes with delays A. V. Arutyunov, M. D. Mardanov

1291 

Fixed points and autonomous differential inclusions A. V. Bogatyrev

1298 

Solution by the variational method of differential equations in weighted spaces L. N. Domysheva

1308 

Some problems in the theory of the stability of functionaldifferential equations of neutral type M. E. Drakhlin

1325 

Regularization of an illposed Cauchy problem for a secondorder equation in a Banach space I. V. Mel'nikova, A. Yu. Freiberg

1332 

Generic properties of conditional exponential stability. XVI V. M. Millionshchikov

1338 

Timeoptimal problem for differential inclusions E. S. Polovinkin, G. V. Smirnov

1351 

Regularized trace of an operator with a singularity V. A. Rastorguev, G. S. Shmelev

1365 

Exact bounds on a closed interval for eigen and associated functions of a quadratic pencil of secondorder ordinary nonselfadjoint differential operators M. Rakhimov

1374 

Partial Differential Equations


Regularity of boundary points for secondorder degenerate elliptic equations Yu. A. Abilov

1387 

Solvability of a periodic problem of the static theory of elasticity in cylindrical domains D. Ya. Byalik

1393 

A theorem on the interior derivative for an ellipticparabolic equation of Kolmogorov type L. I. Kamynin, B. N. Khimchenko

1400 

Exact solutions of the Born–Infeld equation O. F. Men'shikh

1410 

Asymptotic behavior of the solution of a mixed problem with the third boundary condition in a half space for a pseudoparabolic equation I. V. Suveyka

1416 

Oscillation and nonoscillation of the solutions of elliptic equations A. Toraev

1424 

Solvability of elliptic equations with discontinuous nonlinearities A. B. Tsibulis

1435 

Short Communications


A problem in a strip for an equation of hyperbolic type with strong degeneracy V. F. Volkodavov, O. A. Repin

1442 

On a generalization of the principle of contracted mappings and its application to an infinite system of ordinary differential equations Sh. T. Dzhabbarov

1444 

Normalizing transformations of quasilinear nonautonomous systems A. V. Kostin, V. G. Chernyshev

1446 

Decomposition of systems of linear ordinary differential equations with constant coefficients with respect to the nilpotent component A. K. Lopatin

1449 

Representation of the manifold of solutions and investigation of boundary value problems of Cauchy–Dirichlet type for a class of equations of mixed type with a singular line N. Radjabov, K. S. Boltaev

1451 

Dependence of the exponent of growth of the solutions of differentialdifference equations on the exponent of growth of the righthand sides Z. I. Rekhlitskii, Z. G. Rudakova

1452 

Conditions for the presence of a simple saddlecenter of an autonomous twodimensional differential system K. S. Sibirskii

1456 

Estimates for the solutions of equations of elliptic type and weighted imbedding theorems A. S. Fokht

1459 

On singular passages to the limit in case of extension of discontinuous systems L. M. Fridman

1461 

Extremal properties of the Lyapunov function on unstable resonance regimes in the multifrequency case M. M. Khapaev, V. N. Shinkin

1463 