Title of article
On nonstability of the linear recurrence of order one
Author/Authors
Brzd?k، نويسنده , , Janusz and Popa، نويسنده , , Dorian and Xu، نويسنده , , Bing، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2010
Pages
8
From page
146
To page
153
Abstract
We show that, under some assumptions, the linear recurrence (or difference equation) of order one in a Banach space is nonstable in the Hyers–Ulam sense. Our results are also connected with the notion of shadowing in dynamical systems and computer sciences.
Keywords
Linear recurrence , Nonstability , Shadowing , Banach space , Hyers–Ulam stability
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2010
Journal title
Journal of Mathematical Analysis and Applications
Record number
1560982
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