Uniform Exponential Stability of Discrete Evolution Families on Space of p-Periodic Sequences
Joint Authors
Li, Tongxing
Wang, Yongfang
Ahmad, Nisar
Lassoued, Dhaou
Zada, Akbar
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-4, 4 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-08-31
Country of Publication
Egypt
No. of Pages
4
Main Subjects
Abstract EN
We prove that the discrete system ζn+1=Anζn is uniformly exponentially stable if and only if the unique solution of the Cauchy problem ζn+1=Anζn+eiθn+1zn+1, n∈Z+, ζ0=0, is bounded for any real number θ and any p-periodic sequence z(n) with z(0)=0.
Here, An is a sequence of bounded linear operators on Banach space X.
American Psychological Association (APA)
Wang, Yongfang& Zada, Akbar& Ahmad, Nisar& Lassoued, Dhaou& Li, Tongxing. 2014. Uniform Exponential Stability of Discrete Evolution Families on Space of p-Periodic Sequences. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-4.
https://search.emarefa.net/detail/BIM-1033995
Modern Language Association (MLA)
Wang, Yongfang…[et al.]. Uniform Exponential Stability of Discrete Evolution Families on Space of p-Periodic Sequences. Abstract and Applied Analysis No. 2014 (2014), pp.1-4.
https://search.emarefa.net/detail/BIM-1033995
American Medical Association (AMA)
Wang, Yongfang& Zada, Akbar& Ahmad, Nisar& Lassoued, Dhaou& Li, Tongxing. Uniform Exponential Stability of Discrete Evolution Families on Space of p-Periodic Sequences. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-4.
https://search.emarefa.net/detail/BIM-1033995
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1033995