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Almost Automorphic Functions on the Quantum Time Scale and Applications
Author
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-12-14
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
We first propose two types of concepts of almost automorphic functions on the quantum time scale.
Secondly, we study some basic properties of almost automorphic functions on the quantum time scale.
Then, we introduce a transformation between functions defined on the quantum time scale and functions defined on the set of generalized integer numbers; by using this transformation we give equivalent definitions of almost automorphic functions on the quantum time scale; following the idea of the transformation, we also give a concept of almost automorphic functions on more general time scales that can unify the concepts of almost automorphic functions on almost periodic time scales and on the quantum time scale.
Finally, as an application of our results, we establish the existence of almost automorphic solutions of linear and semilinear dynamic equations on the quantum time scale.
American Psychological Association (APA)
Li, Yongkun. 2017. Almost Automorphic Functions on the Quantum Time Scale and Applications. Discrete Dynamics in Nature and Society،Vol. 2017, no. 2017, pp.1-9.
https://search.emarefa.net/detail/BIM-1151127
Modern Language Association (MLA)
Li, Yongkun. Almost Automorphic Functions on the Quantum Time Scale and Applications. Discrete Dynamics in Nature and Society No. 2017 (2017), pp.1-9.
https://search.emarefa.net/detail/BIM-1151127
American Medical Association (AMA)
Li, Yongkun. Almost Automorphic Functions on the Quantum Time Scale and Applications. Discrete Dynamics in Nature and Society. 2017. Vol. 2017, no. 2017, pp.1-9.
https://search.emarefa.net/detail/BIM-1151127
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1151127