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Translation Invariant Spaces and Asymptotic Properties of Variational Equations
Joint Authors
Sasu, Adina Luminiţa
Sasu, Bogdan
Source
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-36, 36 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-04-20
Country of Publication
Egypt
No. of Pages
36
Main Subjects
Abstract EN
We present a new perspective concerning the study of the asymptotic behavior of variational equations by employing function spaces techniques.
We give a complete description of the dichotomous behaviors of the most general case of skew-product flows, without any assumption concerning the flow, the cocycle or the splitting of the state space, our study being based only on the solvability of some associated control systems between certain function spaces.
The main results do not only point out new necessary and sufficient conditions for the existence of uniform and exponential dichotomy of skew-product flows, but also provide a clear chart of the connections between the classes of translation invariant function spaces that play the role of the input or output classes with respect to certain control systems.
Finally, we emphasize the significance of each underlying hypothesis by illustrative examples and present several interesting applications.
American Psychological Association (APA)
Sasu, Adina Luminiţa& Sasu, Bogdan. 2011. Translation Invariant Spaces and Asymptotic Properties of Variational Equations. Abstract and Applied Analysis،Vol. 2011, no. 2011, pp.1-36.
https://search.emarefa.net/detail/BIM-479749
Modern Language Association (MLA)
Sasu, Adina Luminiţa& Sasu, Bogdan. Translation Invariant Spaces and Asymptotic Properties of Variational Equations. Abstract and Applied Analysis No. 2011 (2011), pp.1-36.
https://search.emarefa.net/detail/BIM-479749
American Medical Association (AMA)
Sasu, Adina Luminiţa& Sasu, Bogdan. Translation Invariant Spaces and Asymptotic Properties of Variational Equations. Abstract and Applied Analysis. 2011. Vol. 2011, no. 2011, pp.1-36.
https://search.emarefa.net/detail/BIM-479749
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-479749