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On Uniform Exponential Stability and Exact Admissibility of Discrete Semigroups
Joint Authors
Khan, Aftab
Zada, Akbar
Rahmat, Gul
Source
International Journal of Differential Equations
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-4, 4 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-07-10
Country of Publication
Egypt
No. of Pages
4
Main Subjects
Abstract EN
We prove that a discrete semigroup ?={T(n):n∈ℤ+} of bounded linear operators acting on a complex Banach space X is uniformly exponentially stable if and only if, for each x∈AP0(ℤ+,X), the sequence n↦∑k=0nT(n-k)x(k):ℤ+→X belongs to AP0(ℤ+,X).
Similar results for periodic discrete evolution families are also stated.
American Psychological Association (APA)
Khan, Aftab& Rahmat, Gul& Zada, Akbar. 2013. On Uniform Exponential Stability and Exact Admissibility of Discrete Semigroups. International Journal of Differential Equations،Vol. 2013, no. 2013, pp.1-4.
https://search.emarefa.net/detail/BIM-458907
Modern Language Association (MLA)
Khan, Aftab…[et al.]. On Uniform Exponential Stability and Exact Admissibility of Discrete Semigroups. International Journal of Differential Equations No. 2013 (2013), pp.1-4.
https://search.emarefa.net/detail/BIM-458907
American Medical Association (AMA)
Khan, Aftab& Rahmat, Gul& Zada, Akbar. On Uniform Exponential Stability and Exact Admissibility of Discrete Semigroups. International Journal of Differential Equations. 2013. Vol. 2013, no. 2013, pp.1-4.
https://search.emarefa.net/detail/BIM-458907
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-458907