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1986, Volume 22, Number 12  


People of Soviet science
Andreǐ Nikolaevich Tikhonov (on the occasion of his eightieth birthday)
A. V. Bitsadze, N. P. Erugin, V. A. Il'in, A. A. Samarskii
2027
Andreǐ Vasil'evich Bitsadze (on the occasion of his seventieth birthday)
A. A. Dorodnitsyn, N. P. Erugin, V. A. Il'in, A. A. Samarskii, A. N. Tikhonov
2032

Ordinary Differential Equations
On de la Vallée Poussin's differential inequality
N. V. Azbelev, A. I. Domoshnitskii
2041
On the existence of periodic points in a neighborhood of a homoclinic point of a three-dimensional diffeomorphism
E. V. Vasil'eva
2045
Spectral expansion of nonselfadjoint differential operators with periodic coefficients
O. A. Veliev
2052
Necessary and sufficient conditions for being a Riesz basis of root vectors of second-order discontinuous operators
V. A. Il'in
2059
Uniform boundedness with respect to the parameter of the solutions of singularly perturbed problems for systems of ordinary differential equations
N. C. Sklobovsky, V. A. Tupchiev
2072

Partial Differential Equations
Estimation with respect to the order of convergence of function series in the solution of boundary value problems for second-order quasilinear parabolic equations
M. V. Boychuk, K. I. Bogatenko
2081
The Green function of the Dirichlet problem for a second-order $B$-elliptic equation
A. Yu. Sazonov
2087
Spectral expansions in the case when the orders of the associated functions exceed the order of the Riesz means
Ya. Sh. Salimov
2097
Expansions in eigenfunctions of a singular elliptic operator
A. R. Khalmukhamedov
2107
A mixed problem with an integral condition for some parabolic equations
N. J. Yurchuk
2117

Numerical methods
A numerical method for solving a problem on the collision interaction of ultrashort light pulses in the resonance case
V. V. Drits, B. A. Samson, A. R. Khizhnyak
2127
On the rate of convergence of the Rothe–Galerkin method for operator differential equations
A. G. Zarubin
2135
Curvilinear finite elements of the class $C_1$ with singular coordinate functions
V. G. Korneev, K. A. Khusanov
2144
An interpolation method for the numerical solution of the Laplace equation
V. A. Medvedev
2157
A computational scheme for an approximation method
Yu. M. Rappoport
2162

Short Communications
On the uniqueness of the solution of an equation with linear deviation of the argument in spaces with power weight
S. M. Aleydarov
2170
Uniqueness of the solution of the generalized Poincaré problem of parabolic equations in noncylindrical domains with a nonsmooth boundary
R. D. Aliev
2171
The Darboux problem for a second-order degenerate loaded integro-differential equation
Kh. K. Zhemukhov
2174
The behavior of solutions of a mixed boundary value problem for a higher-order elliptic equation
E. G. Sitnikova
2176
Convergence of a differential-difference scheme for shallow water equations in Lagrangian coordinates
V. V. Khutsishvili
2178
Investigation of an almost periodic state of a nonlinear controllable system
V. N. Shchennikov
2182

Chronicle
О семинаре по качественной теории дифференциальных уравнений в Московском университете
2184

Letter to the editor
Letter to the editors: “On the Landau equation” [Differentsial'nye Uravneniya 19 (1983), no. 8, 1406–1416; MR0714807]
O. E. Buryak
2189
 
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