Mathematics |
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2000, No. 2
V.A. Alyakin, M.G. Svistula, T.A. Sribnaya
TO THE 60th ANNIVERSARY OF V.M. KLIMKIN
The article is devoted to the 60th anniversary of prof. V.M. Klimkin, the dean of the mechanics and mathemetics department, the chief of the chair of functional analysis and functions theory in Samara state university.
V.A. Alyakin
DECOMPOSITIONS OF INDUCTIVE LIMITS OF SET-VALUED MEASURES
In this note the well-known Lebesgue and Hewitt-Iosida decompositions for inductive limits of set-valued measures are established, whose values are nonempty compact convex sets in a complete metrizable locally convex vector space.
G.V. Voskresenskaya
FINITE GROUPS AND MULTIPLICATIVE η-PRODUCTS
In this article the author studies the correspondence between elements of finite groups and the cusp forms from one special class which are the products of Dedekind eta-functions. The case of cyclic groups and metacyclic groups with normal cyclic subgroups of order 9 and 18 are considered in details.
B.V. Loginov, M.Y. Makarov
SYMMETRY BRAKING PROBLEMS AT ANDRONOV-HOPF BIFURCATION. I
In development of the results [10-14] on the base of group analysis methods it is considered the construction and investigation of Lyapounov-Schmidt branching equation (BEq) at Andronov-Hopf bifurcation with crystallographic groups symmetry. The aim of the first part of this work is the construction of the BEq general form on allowing group symmetry in symmetry braking problems, of the second one is bifurcation solutions asymptotics
T.A. Sribnaya
A GENERALIZATION OF NIKODYM CONVERGENCE THEOREM
In this paper a version of the Nikodym Theorem on the convergence of sequences of nonadditive set functions defined on an orthomodular poset and widh values in a topological space is proved.
M.I. Timoshin
LINEARIZATION OF ORDINARY DIFFERENTIAL EQUATIONS OF SECOND ORDER ADMITTING SYMMETRIES OF LIE
In the given article is enterred terminology of classical group analysis. Presented the theorem about linearizations. Given some examples of integrable events of Abel`s equation second sort.
O.P. Filatov
THE FUNCTIONAL-DIFFERENTIAL INCLUSIONS AND AND THE AVERAGING PRINCIPLE
It is considered the three approximation problems for functional-differential inclusions with a rapid and slow variables: above, below and simultaneously. It is showed that the proof of the averaging theorem for functional-differential inclusions is based on the properties of the approximate solutions and of the continuous dependence solutions of the date of the problem. These properties are by anology with differential inclusions.