Title of article
On the exponential stability of dynamic equations on time scales
Author/Authors
Nguyen Huu Du، نويسنده , , Le Huy Tien، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2007
Pages
16
From page
1159
To page
1174
Abstract
In this paper, we deal with some theorems on the exponential stability of trivial solution of time-varying
non-regressive dynamic equation on time scales with bounded graininess. In particular, well-known Perron’s
theorem is generalized on time scales. Under rather restrictive condition, that is, integral boundedness of
coefficient operators, we obtain a characterization of the uniformly exponential stability.
© 2006 Elsevier Inc. All rights reserved
Keywords
Time scales , Perron Theorem , Linear dynamicequation , Exponential stability , Uniformly exponential stability
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2007
Journal title
Journal of Mathematical Analysis and Applications
Record number
935822
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