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1986, Volume 22, Number 6  


Ordinary Differential Equations
Stability of functional-differential equations on the axis and semiaxis
V. G. Kurbatov
923
Trace formulas for a boundary value problem with a functional-differential equation with a discontinuous coefficient
S. I. Mitrokhin
927
An asymptotically stable integral $O$-set of nonlinear systems in the Lipschitz class for a scalar product
S. K. Norkin
932
An approach to differentiation of multivalued mappings, and necessary conditions for optimality of solutions of differential inclusions
E. S. Polovinkin, G. V. Smirnov
944
Centroaffine invariant center conditions in the sense of Dulac for a quadratic differential system
K. S. Sibirskii
954
Isomonodromic deformations of equations with irregular singularity
M. V. Fedoryuk
961
The existence and properties of solutions of ordinary differential equations and differential inclusions
V. V. Filippov
968
On the stability of the trivial solution of linear difference systems with periodic coefficients
S. N. Shimanov, M. G. Blizorukov
977

Partial Differential Equations
Solution of the second boundary value problem of elasticity theory for a semiband
V. A. Dobrushkin
987
Stability of the soliton solution of the nonlinear Schrödinger equation
P. E. Zhidkov
994
A holonomic system for versal integrals
Kh. M. Malikov
1004
The Dirichlet problem for a third-order equation of parabolic-hyperbolic type
M. Meredov, D. Bazarov
1016

Numerical methods
Point source functions for the Laplace difference operator in a corner. I. Integral representations
V. B. Andreev
1021
Estimates for the rate of convergence of difference schemes for fourth-order quasilinear elliptic equations
S. A. Voitsekhovskii
1032
An iterative solution of systems of quasilinear elliptic equations in $n$-dimensional space
D. Laveri
1035
The accuracy of difference schemes in the class of generalized solutions of an elliptic equation with variable coefficients in an arbitrary convex domain
V. L. Makarov, M. N. Moskal'kov
1046
Estimates for the solutions of some difference schemes for mixed boundary value problems in cylindrical domains
A. E. Polichka, M. F. Tiunchik
1054

Short Communications
On the growth of solutions of differential equations with retarded argument in Hilbert space
R. G. Aliev
1061
A modification of the Schwarz method for solving some problems of mathematical physics on a multiprocessor computer
I. D. Bliadze, G. V. Meladze
1062
Some well-posed problems for higher-order parabolic equations that degenerate with respect to the time variable
A. V. Glushak, S. D. Shmulevich
1065
The monodromy group of a second-order linear differential equation
D. L. Kudryavtsev
1068
The convergence of a third-order differential equation
E. A. Nazarov
1071
Uniqueness of the solution of an abstract inverse problem of potential theory in the class of convex domains
G. A. Pavlov
1072
A generalization of Wirtinger's inequality
A. I. Perov, A. A. Tananika
1074
On stationary transformations of nonautonomous differential systems
N. V. Torop
1076
An elliptic system with regular degeneration
M. Utepbergenov
1077
The Cauchy and Goursat problems for a system of differential equations with two lines of parabolic degeneracy
T. V. Chekmarev
1080
Uniqueness of the characteristic vectors of the solutions of a linear Pfaffian system
P. G. Lasy
1084
On the asymptotics and structure of the integral $O$-set of a singular system. II
S. K. Norkin
1086
On the structure of some set of solutions of a second order ordinary differential equation
V. D. Ponomarev
1089

Chronicle
О семинаре по качественной теории дифференциальных уравнений в Московском университете
1091
 
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