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1994, Volume 30, Number 7  


Science People
Aleksandr Andreevich Samarskiǐ (on the occasion of his seventy-fifth birthday)
A. A. Arsen'ev, A. V. Bitsadze, A. A. Dorodnitsyn, S. V. Emel'yanov, V. A. Il'in, S. P. Kurdyumov, Yu. S. Osipov
1107

Ordinary Differential Equations
A necessary and sufficient condition for the stabilization of the solution of the Cauchy problem for an equation with operator coefficients
A. V. Glushak
1111
Functional relations between solutions of equations of $P$-type
V. I. Gromak, V. V. Tsegel'nik
1118
On limit cycles of systems with a given partial integral
M. V. Dolov, R. V. Kuz'min
1125
Stopping thermal waves in nonhomogeneous media
Yu. A. Klokov, A. P. Mikhailov
1133
On the existence of solutions of a class of evolution inclusions on a closed set. I
Ya. I. Umansky
1139
Sequences of changes of variables and the Liénard equation
V. V. Filippov
1148
On the stability of fixed points of two-dimensional mappings
È. È. Shnol'
1156

Numerical methods
A method of variable directions type for the solution of multidimensional problems in mathematical physics in domains with a curvilinear boundary
V. N. Abrashin, I. A. Dzyuba
1168
Operator-difference equations of divergence type
P. N. Vabishchevich, P. P. Matus, V. S. Shchehlik
1175
Efficient methods for solving first-order hyperbolic systems
V. M. Volkov, N. G. Zhadaeva
1187
On a difference method for solving a boundary inverse problem of heat conduction
G. F. Gromyko
1194
Efficient iterative algorithms for solving nonlinear multidimensional problems in mathematical physics. I
A. A. Egorov
1202
On the nonlinear spectral problem in the superelement method
S. V. Kartyshov, L. F. Yukhno, S. V. Basova, D. G. Pleshkov
1211
Variational problems in the theory of three-layer shallow shells
M. M. Karchevskii, V. N. Paimushin
1217
Iterative processes for the realization of implicit difference schemes for equations of a viscous incompressible fluid
S. L. Lapko
1222
Superconvergence of finite-element approximations of eigenfunctions
S. I. Solov'ev
1230
Error estimates for the scheme of the finite element method for second-order quasilinear degenerate elliptic equations
M. R. Timerbaev, A. D. Lyashko
1239
Grid approximation of boundary value problems for singularly perturbed quasilinear elliptic equations in the case of limit equations that are degenerate on the boundary
G. I. Shishkin
1244
On a semi-Lagrangian method for the realization of radiation conditions in the numerical solution of Navier-Stokes equations
I. S. Shchukina, V. V. Ivanov, A. N. Rashid
1259

Short Communications
An iterative method for solving quasi-optic problems
T. V. Veremeenko
1268
Stability and instability zones for equations of the oscillations of a continuum
A. F. Zubova
1270
Estimates for the Hausdorff dimension of invariant sets in a cylindrical phase space
V. G. Leonov
1274
On a class of $(n+1)$-order systems with single-valued solutions
I. P. Martynov, V. A. Pron'ko
1277
A criterion for the exponential separation of a linear system
M. I. Rakhimberdiev
1279
Absolute stability of nonlinear systems with high-frequency parametric excitation
A. V. Savkin
1282
 
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