Ordinary Differential Equations


The direction vector method for investigating the stability of singular points of nonlinear systems. II. Partial results, examples and discussions A. V. Zhevnyak

923 

Estimates for periodic solutions of systems of secondorder nonlinear differential equations A. A. Zevin

932 

Thirdorder equations without moving critical singularities I. P. Martynov

937 

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

946 

Nonlocal problems in the theory of optimal processes. II A. Ya. Narmanov, N. N. Petrov

955 

Characteristic Lyapunov exponents of a regular system with nonlinear perturbation and random inhomogeneity Nguyen Dinh Cong

962 

Asymptotic behavior of solutions of a multidimensional system S. K. Norkin

974 

Optimality of generalized actions Yu. V. Orlov

978 

Regularized traces of higherorder differential operators with retarded argument M. Pikula

986 

The maximum number of limit cycles of the equation $(yP_3(x))dy=P_1(x,y)dx$ in the case of three singular points G. S. Rychkov

991 

Asymptotic behavior of the solution of a boundary value problem for a singularly perturbed system of ordinary differential equations A. A. Shishkin, G. B. Gurov

997 

Partial Differential Equations


The conjugacy problem for an elliptic system of firstorder differential equations with derivatives in the boundary condition I. A. Bikchantaev

1007 

Periodic solutions of singularly perturbed equations of elliptic type A. B. Vasil'eva, M. A. Petrova

1013 

Weighted spherical functions and singular pseudodifferential operators L. N. Lyakhov

1020 

The spectrum of a stationary singlevelocity transport equation with linear dependence of the scattering law on the angles R. S. Makin

1032 

$H_p$estimates for solutions of the Cauchy problem for differential operators that decompose into wave factors A. V. Perzhan

1037 

Estimation of the change in the solution of the Dirichlet problem under variation of the domain È. M. Saak

1047 

Integral Equations and IntegralDifferential


Existence and stability of solutions of linear functionaldifferential equations in weighted Lebesgue spaces L. M. Berezanskii

1052 

Equations of the first kind with elliptic integrals in the kernel M. M. Khapaev (Jr.)

1059 

Short Communications


Bifurcations of waves described by parabolic systems in a circular cylinder V. A. Vol'pert, A. I. Vol'pert

1068 

Regular multidimensional differential equations I. V. Gaishun, N. A. Portyanko

1071 

Perturbed Euler differential system P. B. Golokvoschyus

1074 

Localization principle for solutions of the Cauchy problem for parabolic systems in the class of generalized infiniteorder functions V. V. Gorodestkii

1077 

On the existence and location of limit cycles in an autonomous system L. I. Zhilevich

1079 

Double expansion in series of eigenfunctions of the Orr–Sommerfeld problem Z. Kadelburg

1082 

Sequential analysis of periodic systems with a small parameter multiplying the derivative in the presence of purely imaginary (including identically multiple) points in the spectrum of the limit operator Yu. A. Konyaev

1085 

On an approximating sequence S. A. Mazanik

1089 

The structure of solutions of Jacobi systems with periodic coefficients K. V. Mal'kov

1091 

Length of the gaps in the continuous spectrum of the Sturm–Liouville operator P. A. Mishnaevskii

1095 

A remark on the inversion formula for Wimp's integral transformation with respect to the index S. B. Yakubovich

1097 