Selçuk Journal
of
Applied Mathematics
SPECIAL ISSUE
SummerAutumn, 2001
Volume 2
Number 2
Research Center
of
Applied Mathematics

SJAM
SummerAutumn 2001, Volume 2  Number 2

Continuity of numeric characteristics for asymptotic stability of
solutions to linear difference equations with periodic coefficients 
Kemal Aydın^{1}, Haydar Bulgak^{1}, Gennadii
Demidenko^{2*} 
^{1}
Research Centre of Applied Mathematics, Selçuk University, Konya,
Turkey
email : hbulgak@selcuk.edu.tr
; kaydin@selcuk.edu.tr
^{
2
}
Sobolev Institute of Mathematics, SB RAS, Novosibirsk, Russia;
email: demidenk@math.nsc.ru
Received: May 21, 2001

Summary. We
consider linear perturbation systems of difference equations
y(n+1)=(A(n) + B(n))y(n), n³
0,
where
A(n), B(n) are N´N
periodic matrices with period T. The spectrum of a monodromy
matrix of the system x(n+1)=A(n)x(n),
n³
0
belongs to the unit disk
l
< 1.
We indicate conditions on a perturbation matrix B(n) for
asymptotic stability of the zero solution to the perturbation system
and prove continuity one numeric characteristic of the asymptotic
stability from [1]. 

Key
words
monodromy matrix, perturbation systems of difference equations,
asymptotic stability of solutions.

Mathematics Subject Classification (1991): 39A11
^{*}
The research was financially supported by the Scientific and
Technical Research Council of Turkey (TUBITAK) in the framework of a
NATOPC Advanced Fellowships Programme.

Article
in PS format (86 kb) 
Article in ZIP
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