Discrete Weighted Pseudo-Almost Automorphy and Applications
We deal with discrete weighted pseudo almost automorphy which extends some classical concepts and systematically explore its properties in Banach space including a composition result. As an application, we establish some sufficient criteria for the existence and uniqueness of the discrete weighted p...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/984946 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832565154845294592 |
|---|---|
| author | Zhinan Xia |
| author_facet | Zhinan Xia |
| author_sort | Zhinan Xia |
| collection | DOAJ |
| description | We deal with discrete weighted pseudo almost automorphy which extends some classical concepts and systematically explore its properties in Banach space including a composition result. As an application, we establish some sufficient criteria for the existence and uniqueness of the discrete weighted pseudo almost automorphic solutions to the Volterra difference equations of convolution type and also to nonautonomous semilinear difference equations. Some examples are presented to illustrate the main findings. |
| format | Article |
| id | doaj-art-36092b4ab3b440389dbf63ba49c312ac |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-36092b4ab3b440389dbf63ba49c312ac2025-02-03T01:09:11ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/984946984946Discrete Weighted Pseudo-Almost Automorphy and ApplicationsZhinan Xia0Department of Applied Mathematics, Zhejiang University of Technology, Hangzhou, Zhejiang 310023, ChinaWe deal with discrete weighted pseudo almost automorphy which extends some classical concepts and systematically explore its properties in Banach space including a composition result. As an application, we establish some sufficient criteria for the existence and uniqueness of the discrete weighted pseudo almost automorphic solutions to the Volterra difference equations of convolution type and also to nonautonomous semilinear difference equations. Some examples are presented to illustrate the main findings.http://dx.doi.org/10.1155/2014/984946 |
| spellingShingle | Zhinan Xia Discrete Weighted Pseudo-Almost Automorphy and Applications Journal of Applied Mathematics |
| title | Discrete Weighted Pseudo-Almost Automorphy and Applications |
| title_full | Discrete Weighted Pseudo-Almost Automorphy and Applications |
| title_fullStr | Discrete Weighted Pseudo-Almost Automorphy and Applications |
| title_full_unstemmed | Discrete Weighted Pseudo-Almost Automorphy and Applications |
| title_short | Discrete Weighted Pseudo-Almost Automorphy and Applications |
| title_sort | discrete weighted pseudo almost automorphy and applications |
| url | http://dx.doi.org/10.1155/2014/984946 |
| work_keys_str_mv | AT zhinanxia discreteweightedpseudoalmostautomorphyandapplications |