Generalized Exponential Trichotomies for Abstract EvolutionOperators on the Real Line
Joint Authors
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-10-05
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
This paper considers two trichotomy concepts in the context of abstract evolution operators.
The first one extends the notion of exponential trichotomy in the sense of Elaydi-Hajek for differential equations to abstract evolution operators, and it is a natural extension of the generalized exponential dichotomy considered in the paper by Jiang (2006).
The second concept is dual in a certain sense to the first one.
We prove that these types of exponential trichotomy imply the existence of generalized exponential dichotomy on both half-lines.
We emphasize that we do not assume the invertibility of the evolution operators on the whole space X (unlike the case of evolution operators generated by differential equations).
American Psychological Association (APA)
Lupa, Nicolae& Megan, Mihail. 2013. Generalized Exponential Trichotomies for Abstract EvolutionOperators on the Real Line. Journal of Function Spaces،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-1006083
Modern Language Association (MLA)
Lupa, Nicolae& Megan, Mihail. Generalized Exponential Trichotomies for Abstract EvolutionOperators on the Real Line. Journal of Function Spaces No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-1006083
American Medical Association (AMA)
Lupa, Nicolae& Megan, Mihail. Generalized Exponential Trichotomies for Abstract EvolutionOperators on the Real Line. Journal of Function Spaces. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-1006083
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1006083