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Weighted Pseudo Almost-Periodic Functions and Applications to Semilinear Evolution Equations
Joint Authors
Xiao, Ti-Jun
Zhang, Jun
Liang, Jin
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-03-21
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
We first give a solution to a key problem concerning the completeness of the space of weighted pseudo almost-periodic functions and then establish a new composition theorem with respect to these functions.
Some important remarks with concrete examples are also presented.
Moreover, we prove an existence theorem for the weighted pseudo almost-periodic mild solution to the semilinear evolution equation: x′(t)=Ax(t)+f(t,x(t)), t∈ℝ, where A is the infinitesimal generator of an exponentially stable C0-semigroup.
An application is also given to illustrate the abstract existence theorem.
American Psychological Association (APA)
Zhang, Jun& Xiao, Ti-Jun& Liang, Jin. 2012. Weighted Pseudo Almost-Periodic Functions and Applications to Semilinear Evolution Equations. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-452243
Modern Language Association (MLA)
Zhang, Jun…[et al.]. Weighted Pseudo Almost-Periodic Functions and Applications to Semilinear Evolution Equations. Abstract and Applied Analysis No. 2012 (2012), pp.1-15.
https://search.emarefa.net/detail/BIM-452243
American Medical Association (AMA)
Zhang, Jun& Xiao, Ti-Jun& Liang, Jin. Weighted Pseudo Almost-Periodic Functions and Applications to Semilinear Evolution Equations. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-452243
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-452243