
Nikolaǐ Pavlovich Erugin

739 

Ordinary Differential Equations


On uniqueness and completeness theorems for expansion in eigen and associated functions of a nonlocal Sturm–Liouville operator on a finite interval N. S. Bojinov

741 

Singular perturbations in a stochastic linearquadratic optimal control problem V. Ya. Glizer

753 

Solvability of a class of differential equations in a space of functions that are analytic in a nonconvex domain and that have a given order of growth O. V. Gorina

760 

Differential equations of orthogonal Bernstein–Szegő polynomials Z. S. Grinshpun

769 

Asymptotic behavior of the solutions of a secondorder semilinear differential equation V. M. Evtukhov

776 

Isomonodromic deformations of Fuchsian families of systems of linear differential equations with bifurcation poles V. P. Kostov

787 

The existence of a hyperbolic integral set of a special periodic system V. A. Pliss

800 

Bifurcation values of the parameters of a system S. E. Reshetnikov, G. S. Rychkov

808 

The appearance of integral manifolds of genus $n\geq 1$ and of homoclinic structures from an infinitely distant part of the space I. G. Rozet, V. V. Filinych

814 

Partial Differential Equations


The Cauchy problem for the generalized Korteweg–de Vries equation with periodic initial data P. E. Zhidkov

823 

Applications of parabolic Pagni potentials to boundary value problems in mathematical physics. I L. I. Kamynin

829 

On a question on the generalized Tricomi problem that arises in the theory of the Laval nozzle. I K. B. Sabitov

841 

On the scattering problem for the Schrödinger operator with singular potential in the twodimensional case. I V. S. Serov

851 

The Tricomi problem for a model system of equations in domains of special forms T. V. Chekmarev

860 

Integral Equations and IntegralDifferential


Frequency criteria for dissipativity of integral equations R. I. Alidema

873 

On the solvability and structure of the solution space of singular integral equations with involution A. A. Karelin

879 

Linear integral equations of the third kind in weighted $L_2$ spaces. II A. A. Kuleshov

890 

Short Communications


On a class of effective difference schemes for solving elliptic equations in a domain of arbitrary form T. G. Aleinikova

898 

On the theory of coercive stability of twolayer difference schemes N. Yu. Bakaev

898 

An approach to the analysis of the stability of nonlinear systems V. I. Verbitskii, A. N. Gorban'

900 

Solution of a system of Volterra integral equations of first kind with a special function in the kernels V. F. Volkodavov, I. N. Rodionova

903 

Periodic solutions of onedimensional and twodimensional systems of differential equations with impulses V. I. Guţu

904 

On representations of solutions of Riccati matrix differential equation V. N. Laptinskii, V. V. Pugin

906 

Bounded almost periodic and periodic solutions of a firstorder linear singularly perturbed hyperbolic system N. G. Panfilov, V. I. Rozhkov

907 

Kneser solutions of the generalized Emden–Fowler equation V. A. Rabtsevich

910 

On the structure of the Levinson center of a dissipative dynamical system with the hyperbolicity condition on the closure of the set of recurrent motions D. N. Cheban

913 