Contents
Vol. 42, No. 4, 2006
Simultaneous English language translation of the journal is available from Pleiades Publishing, Inc.
Distributed worldwide by Springer. Differential Equations ISSN 0012-2661.
Ordinary Differential Equations
On a System of Two Linear-Fractional Differential Equations of Order n with the Painleve Property
N. S. Berezkina, I. P. Martynov, and V. A. Pron'ko 459 On the Relationship between the Carleman Condition and the Equivalence
of Norms of Root Functions on Various Compact Sets
V. D. Budaev and 0. V. Kolesnikova 465 A Second-Order Linear System with a Special Monodromy Group on CPm
N. D. Vasilevich 473 On the Uniform Local Controllability of a Nonlinear System to a Trajectory
A. G. Ivanov . 479 On the Higher Exponent of Linear Systems with Perturbations Power Integrable
or Small in Mean with a Monotone Weight
N. V. Kozhurenko 490 Structural Stability and Symbolic Image
G. S. Osipenko 496 On the Averaging of Differential Equations on an Infinite Interval
A. M. Samoilenko and A. N. Stanzhitskii 505 On the Second-Order Euler Equation with Bounded Operator Coefficients
in a Banach Space
V. I. Fomin 512
Partial Differential Equations
Local and Global Solvability of the Quasilinear Hyperbolic Stefan Problem on the Line
R. V. Andrusyak, V. M. Kirilich, and A. D. Myshkis 519 On the Dynamic Potential Theory for the Equation of a Weakly Stratified Fluid
M. A. Davydova 537 A Singular Elliptic Boundary Value Problem in Domains with Corners:
II. The Boundary Value Problem
V. V. Katrakhov and S. V. Kiselevskaya 548 On the Solvability of Stationary Fokker-Planck Equations Close
to the Laplace Equation
A. I. Noarov 556 Instability of Stationary Nonmonotone Solutions of the Reaction Equation
with Diffusion Depending on Density
V. N. Razzhevaikin 567 On Antisymmetric Quasimodes of the Schrodinger Operator
in the N-Particle Problem
A. E. Ruuge 576
Short Communications
Two-Sided Operator Inequalities with Nonmonotone OperatorsB. A. Shuvar and M. I. Kopach 586 On the Exponential Stability of the Zero Solution of an Almost Linear System
of Finite-Difference Equations
A. V. Lasunskii 591 On the Study of a Characteristic Integral Equation of the First Kind
with a Logarithmic Singularity
I. K. Lifanov 595 On a Nonlocal Perturbation of a Periodic Eigenvalue Problem
A. S. Makin 599 On the Solution of the Laplace Equation with Mixed Boundary Conditions
T. E. Moiseev 603 Structure Identification of a Multidimensional Plant
Yu. F. Orlov 607 Approximate Determination of the Stability Domain of a Linear Delay
Differential Equation with Periodic Coefficient
L. Z. Fishman 612
