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1990, Volume 26, Number 12  


Ordinary Differential Equations
On the stability in the critical case of a zero root and of a pair of purely imaginary roots of a nonautonomous $n$th order quasilinear equation
I. E. Vitrichenko
2027–2046
Regularized trace formulas for operators with compact resolvent
V. V. Dubrovskii
2046–2051
On the rate of convergence of the Faedo–Galerkin method for quasilinear nonstationary operator equations
A. G. Zarubin
2051–2059
On the stable solution of inverse problems for nonlinear distributed systems. I
V. I. Maksimov
2059–2067
On the convergence of the method of successive approximations in optimal control problems
V. A. Popov
2068–2077
Differential inequalities in stability theory
O. P. Filatov
2077–2084

Partial Differential Equations
Integrability of a class of higher-order nonlinear evolution systems that admit a nonselfadjoint zero curvature representation. I
V. A. Il'in, K. V. Mal'kov
2085–2088
Asymptotic expansion of the solution of the boundary value problem of heat conduction for a rotating cylinder
M. I. Letavin
2088–2093
The existence of solitary waves propagating in an elastoplastic space
M. D. Martynenko, D. B. Nguyễn
2093–2097
Sufficient stability conditions for the existence of global solutions of controllable boundary value problems
V. I. Sumin
2097–2109
A system of Gauss equilibrium equations
S. V. Temko, S. K. Kuz'min
2109–2121

Integral Equations and Integral-Differential
A new direct method for solving integral equations of the first kind
N. S. Gabbasov
2122–2127
Uniform invertibility of regular approximations of one-dimensional singular integral operators with noncompact perturbations
V. S. Pilidi
2127–2136
Functional operators with a shift
A. P. Soldatov
2136–2145

Numerical methods
A difference method for solving a problem in the theory of dispersion waves
G. M. Amiraliev
2146–2153
A scheme of fourth-order accuracy in a spectral problem with variable coefficients
V. G. Prikazchikov, Zh. P. Allanazarov
2153–2157
The maximum principle for difference equations
A. A. Terteryan
2157–2162

Short Communications
A priori $L_2$-estimates for the solution of an initial-boundary value problem for a system of two equations of general type that has a mixed parabolic-elliptic structure
M. A. Abdrachmanov
2163–2165
On the solution of problems of ideal observation in time-dependent systems with retarded argument
Yu. A. Vorohobko, A. L. Lebedev
2165–2167
Periodic solutions of differential systems whose period is incommensurable with the period of the system itself
A. K. Demenchuk
2167–2170
Some properties of the Richardson extrapolation
V. R. Ibragimov
2170–2173
An analogue of Dubinskiǐ's theorem for differential equations on an infinite-dimensional superspace
M. Kpekpassi
2173–2176
A functional equation for harmonic functions in a multiply connected domain
V. V. Mityushev
2176–2178
On the solvability of problems of acoustics of open waveguides
V. S. Rabinovich
2178–2180

Chronicle
О семинаре по качественной теории дифференциальных уравнений в Московском университете
2181–2189

Obituary: Teǐmuraz Ambros'evich Chanturiya
N. V. Azbelev, È. I. Grudo, N. A. Izobov, I. T. Kiguradze, V. A. Kondratiev, V. M. Millionshchikov, N. Kh. Rozov
2190–2191
 
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