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1985, Volume 21, Number 10  


Review articles
Small-parameter methods and their application
A. N. Tikhonov
1659–1661
The method of boundary layer functions
A. B. Vasil'eva, V. F. Butuzov
1662–1669
Tikhonov's theorem on passage to the limit and the regularization method
S. A. Lomov
1669–1679
Investigation of invariant toroidal manifolds of dynamical systems, and questions of automation of methods for investigating differential equations
Yu. A. Mitropol'skii, V. L. Kulik, A. I. Skrypnyk
1679–1692

Ordinary Differential Equations
The theory of singular perturbations and some optimal control problems
M. G. Dmitriev
1693–1698
Asymptotic behavior of the solutions of certain classes of differential equations with a small parameter multiplying the derivatives in the case of a change in the stability of a stationary point in the plane of “rapid motions”
S. Karimov
1698–1701
Boundary value problems with initial jumps
K. A. Kasymov
1701–1706
Optimization of the hunting process
S. A. Kashchenko
1706–1709
A bifurcation theorem in the theory of self-oscillations of distributed systems
Yu. S. Kolesov
1709–1713
The averaging method in control problems
V. A. Plotnikov
1713–1717
Convergence in $L^2$ of solutions of systems with a small matrix multiplying the derivative
V. P. Skripnik
1717–1723
Integral manifolds of singularly perturbed systems and some of their applications
V. V. Strygin, V. A. Sobolev, E. Ya. Gorelova, È. M. Fridman
1723–1726
Some problems of the theory of singularly perturbed equations
A. N. Filatov
1726–1730
A generalization of Lyapunov's second method and an investigation of the stability of applied problems
M. M. Khapaev
1730–1733
A difference scheme for a fourth-order ordinary differential equation with a small parameter multiplying the highest derivative
G. I. Shishkin
1734–1742

Partial Differential Equations
Analytic and computational aspects of a block representation of operators in linear equations
Yu. P. Boglaev
1743–1750
A singularly perturbed boundary value problem of elliptic type with nonsmooth angular boundary layer functions
V. F. Butuzov, A. V. Nesterov
1751–1755
Periodic solutions of singularly perturbed equations of parabolic type
A. B. Vasil'eva, V. T. Volkov
1755–1760
Investigation of singularly perturbed boundary value problems by the method of matching asymptotic expansions
A. M. Il'in
1760–1766
Soliton-like asymptotics of internal waves in a stratified fluid with small dispersion
V. P. Maslov, G. A. Omel'yanov
1766–1775
Breaking of waves for the Whitham equation with singular kernel. II
P. I. Naumkin, I. A. Shishmarev
1775–1790
The boundary effect and the buckling of thin plates on a nonlinearly elastic base
L. S. Srubshchik
1790–1794
Asymptotic expansions of solutions of a parabolic equation with a small parameter
V. G. Sushko
1794–1798
Some singularly perturbed problems of gas dynamics and physical kinetics
V. A. Tupchiev
1798–1803

Short Communications
Numerical methods for solving singularly perturbed problems
Yu. P. Boglaev
1804–1806
The Cauchy problem for a spatially inhomogeneous equation of coagulation taking diffusion into account
A. V. Burobin
1806–1808
Asymptotic solution of a problem on the motion of a rigid body in a magnetic field
A. I. Kobrin
1808–1811
A new approach to the investigation of linear singularly perturbed problems in the presence of identically multiple and imaginary points of the spectrum
Yu. A. Konyaev
1811–1814
Singularly perturbed linear differential equations in a Banach space
S. G. Krein
1814–1817
The Whitham equation with a singular kernel and small interaction
P. I. Naumkin, I. A. Shishmarev
1818–1819
Asymptotic solution of a problem of modeling heat and mass exchange in interpenetrating media
N. N. Nefedov
1819–1821
Construction of asymptotic solutions of singularly perturbed linear systems
I. I. Starun
1822–1823
Asymptotics of solutions of the Cauchy problem for a singularly perturbed system
I. N. Shchitov
1823–1825
Some problems in the theory of partial differential equations containing a small parameter multiplying the highest derivatives
M. G. Dzhavadov, M. M. Sabzaliev
1826–1828

Chronicle
Коллоквиум по качественной теории дифференциальных уравнений (27–31 августа 1984 г., Сегед, Венгрия)
A. A. Martynyuk, V. V. Rumyantsev
1829–1832
 
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