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Selçuk Journal
of
Applied Mathematics
SPECIAL ISSUE
Summer-Autumn, 2001
Volume 2
Number 2
Research Center
of
Applied Mathematics
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SJAM
Summer-Autumn 2001, Volume 2 - Number 2
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Continuity of numeric characteristics for asymptotic stability of
solutions to linear difference equations with periodic coefficients |
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Kemal Aydın1, Haydar Bulgak1, Gennadii
Demidenko2* |
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
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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]. |
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Key
words
monodromy matrix, perturbation systems of difference equations,
asymptotic stability of solutions.
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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
NATO-PC Advanced Fellowships Programme.
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Article
in PS format (86 kb) |
Article in ZIP
format (34 kb) |
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