Title of article
The Lyapunov operator equation for the exponential dichotomy of one-parameter semigroups
Author/Authors
Preda، نويسنده , , Ciprian and Preda، نويسنده , , Petre، نويسنده ,
Issue Information
ماهنامه با شماره پیاپی سال 2009
Pages
4
From page
259
To page
262
Abstract
We point out a Lyapunov-type operator equation that shows the existence of an exponential dichotomy for an arbitrary C 0 -semigroup T = { T ( t ) } t ≥ 0 generated by a (possible) unbounded A . Thus, we extend some known results given by Chicone and Latushkin, Daletskii and Krein, and Datko.
Keywords
exponential dichotomy , One-parameter semigroup , Lyapunov operator equation
Journal title
Systems and Control Letters
Serial Year
2009
Journal title
Systems and Control Letters
Record number
1675200
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