On Uniform Exponential Stability and Exact Admissibility of Discrete Semigroups

Aftab Khan, Gul Rahmat and Akbar Zada

International Journal of Differential Equations, 2013, vol. 2013, 1-4

Abstract:

We prove that a discrete semigroup of bounded linear operators acting on a complex Banach space is uniformly exponentially stable if and only if, for each , the sequence belongs to . Similar results for periodic discrete evolution families are also stated.

Date: 2013
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJDE/2013/268309.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJDE/2013/268309.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijde:268309

DOI: 10.1155/2013/268309

Access Statistics for this article

More articles in International Journal of Differential Equations from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().