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1990, Volume 26, Number 7  


Ordinary Differential Equations
Some problems for an ordinary differential equation that arise in gas dynamics
M. M. Ad'yutov, Yu. A. Klokov, A. P. Mikhailov
1107
An existence theorem for a solution of a self-similar problem on a semi-infinite interval
V. V. Gudkov
1110
A method for constructing invariant functions and the study of phase portraits of dynamical systems on a computer
E. S. Pyatnitskii, L. B. Rapoport
1116

Partial Differential Equations
The monotonicity property for a quasilinear degenerate parabolic equation
V. A. Galaktionov, S. A. Posashkov
1127
Existence of solutions of a system of nonlinear Schrödinger equations
A. L. Domarkas, F. F. Ivanauskas
1137
Self-similar solutions and inverse problems for quasilinear parabolic equations
A. D. Iskenderov, T. B. Gardashov
1148
The periodic heat flow in a hollow cylinder
R. S. Minasyan
1153
Application of the method of the separation of variables for solving equations of mixed type
E. I. Moiseev
1160
The use of pseudosymmetries for constructing exact solutions of differential equations
G. V. Nesterenko
1173

Numerical methods
A variant of the method of variable directions for the solution of multidimensional problems in mathematical physics. II
V. N. Abrashin, I. A. Dzyuba
1179
Convergence of the spline-collocation method for singularly perturbed boundary value problems on locally uniform grids
I. A. Blatov, V. V. Strygin
1191
Iterative methods of domain decomposition with overlap for elliptic boundary value problems
P. N. Vabishchevich
1197
A study of the nonlinear evolution of resistive spiral modes by the method of projection onto an unstable manifold
Yu. N. Dnestrovskii, D. P. Kostomarov, V. V. Nefedov, A. M. Popov
1208
Uniform stability of difference schemes for a nonclassical boundary value problem with variable coefficients
N. I. Ionkin, D. G. Furletov
1217
Preconditioning of the method of conjugate gradients for solving discrete analogues of differential problems
I. E. Kaporin
1225
Numerical construction of stability boundaries for systems of second-order differential equations with delay
S. V. Kartyshov, A. V. Shyarmokas
1236
A class of difference schemes on composite grids for non-steady-state problems in mathematical physics
P. P. Matus
1241
Realization of exact three-point difference schemes for second-order ordinary differential equations with piecewise-smooth coefficients
A. A. Samarskii, V. L. Makarov
1254
Existence of solitary vortices in a zonal flow
A. P. Smirnov, E. A. Sheina
1265

Short Communications
Nonconformal finite elements for a hyperbolic equation with a long memory
I. D. Evzerov
1272
On the numerical solution of a Tricomi-type problem for equations with two lines of degeneracy with continuous coefficients
F. A. Tagiev, A. M. Guseinov
1275
Analytic solution of a three-dimensional time-dependent heat conduction problem with heat conduction tensor
V. F. Formalev, A. A. Moskalenko
1277

People of Soviet science
Aleksandr Andreevich Shestakov (on the occasion of his 70th birthday)
V. A. Il'in, A. A. Samarskii
1280
 
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