Uniformly Almost Periodic Functions and Almost Periodic Solutions to Dynamic Equations on Time Scales
Joint Authors
Source
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-22, 22 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-10-20
Country of Publication
Egypt
No. of Pages
22
Main Subjects
Abstract EN
Firstly, we propose a concept of uniformly almost periodic functions on almost periodic time scales and investigate some basic properties of them.
When time scale T=ℝ or ℤ, our definition of the uniformly almost periodic functions is equivalent to the classical definitions of uniformly almost periodic functions and the uniformly almost periodic sequences, respectively.
Then, based on these, we study the existence and uniqueness of almost periodic solutions and derive some fundamental conditions of admitting an exponential dichotomy to linear dynamic equations.
Finally, as an application of our results, we study the existence of almost periodic solutions for an almost periodic nonlinear dynamic equations on time scales.
American Psychological Association (APA)
Li, Yongkun& Wang, Chao. 2011. Uniformly Almost Periodic Functions and Almost Periodic Solutions to Dynamic Equations on Time Scales. Abstract and Applied Analysis،Vol. 2011, no. 2011, pp.1-22.
https://search.emarefa.net/detail/BIM-464237
Modern Language Association (MLA)
Li, Yongkun& Wang, Chao. Uniformly Almost Periodic Functions and Almost Periodic Solutions to Dynamic Equations on Time Scales. Abstract and Applied Analysis No. 2011 (2011), pp.1-22.
https://search.emarefa.net/detail/BIM-464237
American Medical Association (AMA)
Li, Yongkun& Wang, Chao. Uniformly Almost Periodic Functions and Almost Periodic Solutions to Dynamic Equations on Time Scales. Abstract and Applied Analysis. 2011. Vol. 2011, no. 2011, pp.1-22.
https://search.emarefa.net/detail/BIM-464237
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-464237