In this paper, we establish a necessary condition of Stepanov's almost periodicity of solutions for general linear almost periodic systems, and then we construct an example of linear system in which all solutions are bounded, but any non-trivial solution is not Stepanov's almost periodic.
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2005-03-01
|
| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2005/35/abstr.html |
| _version_ | 1818559310465073152 |
|---|---|
| author | Zuosheng Hu |
| author_facet | Zuosheng Hu |
| author_sort | Zuosheng Hu |
| collection | DOAJ |
| description | In this paper, we establish a necessary condition of Stepanov's almost periodicity of solutions for general linear almost periodic systems, and then we construct an example of linear system in which all solutions are bounded, but any non-trivial solution is not Stepanov's almost periodic. |
| first_indexed | 2024-12-14T00:23:45Z |
| format | Article |
| id | doaj.art-6c3d327b48dc4df3992dbf2423ff7203 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-14T00:23:45Z |
| publishDate | 2005-03-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-6c3d327b48dc4df3992dbf2423ff72032022-12-21T23:25:07ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912005-03-0120053517Zuosheng HuIn this paper, we establish a necessary condition of Stepanov's almost periodicity of solutions for general linear almost periodic systems, and then we construct an example of linear system in which all solutions are bounded, but any non-trivial solution is not Stepanov's almost periodic.http://ejde.math.txstate.edu/Volumes/2005/35/abstr.htmlBoundednessStepanov's almost periodicity. |
| spellingShingle | Zuosheng Hu Electronic Journal of Differential Equations Boundedness Stepanov's almost periodicity. |
| topic | Boundedness Stepanov's almost periodicity. |
| url | http://ejde.math.txstate.edu/Volumes/2005/35/abstr.html |