Some results on the qualitative theory of semiflows

We point out some results on the qualitative theory of three-parameter semiflows by analyzing the stability of the associated linear skew-product semiflow. Extensions of the well-known theorems due to Datko, Pazy, Rolewicz are obtained. 2000 Mathematics Subject Classification : 34D05,47D06, 93D20. K...

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Bibliographic Details
Published inBulletin of the Belgian Mathematical Society, Simon Stevin Vol. 18; no. 1; pp. 173 - 186
Main Authors Preda, Ciprian, Preda, Petre
Format Journal Article
LanguageEnglish
Published Belgian Mathematical Society 01.01.2011
The Belgian Mathematical Society
Subjects
(nonlinear) semiflows
34D05
47D06
93D20
Bifurcation theory
Datko theorem
evolution families
Parameter estimation
uniform exponential stability
Romania
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ISSN1370-1444
2034-1970
DOI10.36045/bbms/1299766496

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Summary:We point out some results on the qualitative theory of three-parameter semiflows by analyzing the stability of the associated linear skew-product semiflow. Extensions of the well-known theorems due to Datko, Pazy, Rolewicz are obtained. 2000 Mathematics Subject Classification : 34D05,47D06, 93D20. Key words and phrases: (nonlinear) semiflows, evolution families, uniformexponential stability, Datko theorem.
ISSN:1370-1444
2034-1970
DOI:10.36045/bbms/1299766496