Mathematics |
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1997, No. 2
O.P. Filatov, L.S. Pulkina, A.A. Andreev
The paper is dedicated to Prof. Dr. S.P. Pulkin, whose 90th anniversary is observed in 1997.
L.M. Berkovich, V.M. Klimkin
VALENTIN EVGENIEVICH VOSKRESENSKII
The article is devoted to the 70 th anniversary of Prof. Dr. V.E. Voskresenskii, the Chief of the Chair of Algebra and Geometry in Samara State University.
V.E. Voskresenskii
BIRATIONAL GEOMETRY AND ARITHMETIC OF LINEAR ALGEBRAIC GROUPS, I
This article is the first one of the series of the works on birational geometry of linear algebraic groups and their applications. It contains necessary information from theories of schemes, cohomologies and some new results about linear algebraic groups.
I.A. Andreev
MODELING OF THE CRITICAL CONDITIONS OF SELFIGNITION FOR CYLINDRICAL AND SPHERECAL REACTORS
This paper is devoted to the application of the integral manifolds method and the duck-trajectories techniques for the modeling of critical phenomenae in the singularly perturbed models of chemical kinetics.
L.M. Berkovich, I.S. Frolov
This paper uses the abilities of the language REDUCE and the graphic package GNUPLOT for the representation of solutions of the second order linear differential equations. The procedure of searching solutions in the analitic form uses the package SOLDE and the graphic output of the found solutions uses the program DEPLOT created by authors.
L.V. Voropaeva
The paper is concerned the elliptic boundary value problem of the special type whin the domain contains the singular point. The problem formulated is relevant for the particular case of the linear dependence of the force from the elastic displacement. (The existens of the sources and unit charges are also considered).
A.P. Kotenko
DETERMINATION OF SLOW VARIABLES OF SINGULAR PERTERBED SYSTEM IN BAHACH SPACE
Algorithm of determination of initial value for solution of singular perturbed system of ordinary differential equations is described. This solution on smooth integral stable manifold differs from previous solution of the initial value problem by exponentially decreasing addition. So singular perturbed initial value problem is reduced to regular perturbed initial value problem without determination of boundary layer additions.
S.V. Ozerskii
CONSTRACTION OF SPLITTING TRANSFORMATION FOR ONE CLASS OF SINGULAR PERTURBED BOUNDARY VALUE PROBLEMS
This paper shows that constructive splitting method is not applicable for splitting of some singular perturbed boundary value problems. The theorem of modification of splitting transformation is proved.