RUS  ENG
Full version
JOURNALS // Differentsial'nye Uravneniya // Archive

2000, Volume 36, Number 2


Ordinary Differential Equations
The Hilbert and Bessel properties of systems of eigenfunctions of second-order operators
N. V. Assonova, V. D. Budaev
147
Stability conditions for the inverted pendulum whose suspension point performs decaying vibrations of a special form
V. V. Ganina, Yu. S. Kolesov
152
An estimate, in the metric of $L_2(R)$, of the equiconvergence rate with the fourier integral for the spectral expansion corresponding to the Schrödinger operator with a potential of the class $L_1(R)$
S. A. Denisov
158
Asymptotic stability of Itô differential systems with retarded argument
R. I. Kadiev
163
The solution of a class of linear differential equations via functions of the Mittag-Leffler type
Megumi Saigo, A. A. Kilbas
168
The class of solutions and algebraic integrability of algebraic differential equations. Trajectories of dynamical systems
S. L. Sobolevskii
177

Partial Differential Equations
The classification of differential equations with two independent variables on the basis of the principal part
V. G. Bardakov
187
Asymptotic stability of solutions of singularly perturbed boundary value problems with boundary and internal layers
V. F. Butuzov, I. V. Nedelko
198
Periodic step-like contrast structures for a singularly perturbed parabolic equation
A. B. Vasil'eva, O. E. Omel'chenko
209
Normal solvability of general boundary value problems for some classes of pseudodifferential equations
V. B. Vasil'ev
219
An analog of the lemma on the normal derivative for an elliptic equation on a stratified set
A. A. Gavrilov, O. M. Penkin
226
Absolute continuity of the spectrum of a periodic Dirac operator
L. I. Danilov
233
Controllability of hyperbolic systems under singular perturbations
A. Z. Ishmukhametov
241
The Fourier method in the Cauchy problem and absolutely representing systems of exponentials: II
Yu. F. Korobeinik
251
On evolution problems for linearly strictly viscoelastic materials
G. R. V. Matarazzo
256
An asymptotic method of differential inequalities for the investigation of periodic contrast structures: Existence, asymptotics, and stability
N. N. Nefedov
262
Integral representations and the linear conjugation problem for a generalized Cauchy–Riemann system with a singular manifold
A. B. Rasulov
270

Short Communications
A representation of a periodic solution of a linear matrix differential equation
L. A. Danilovich, V. N. Laptinskii
276
The $L_2$ solvability of a nonlocal problem with integral conditions for a hyperbolic equation
L. S. Pulkina
279
Boundary value problems with free boundary for some classes of nonlinear ordinary differential equations
N. E. Tovmasyan
281

Chronicle
International Conference “Analytic Methods of Analysis and Differential Equations” (AMADE-99) (September 14–18, 1999, Minsk, Belarus)
I. V. Gaishun, M. V. Dubatovskaya, A. A. Kilbas, S. V. Rogozin, N. J. Yurchuk
284


© Steklov Math. Inst. of RAS, 2026