On some classes of almost periodic functions in abstract spaces
We deal with C(n)-almost periodic functions taking values in a Banach space. We give several properties of such functions, in particular, we investigate their behavior in view of differentiation as well as integration. The superposition operator acting in the space of such functions is also under co...
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| Format: | Article |
| Language: | English |
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Wiley
2004-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S016117120440653X |
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| author | Dariusz Bugajewski Gaston M. N'Guérékata |
| author_facet | Dariusz Bugajewski Gaston M. N'Guérékata |
| author_sort | Dariusz Bugajewski |
| collection | DOAJ |
| description | We deal with C(n)-almost periodic functions taking values in a Banach space. We give several properties of such functions, in particular, we investigate their behavior in view of differentiation as well as integration. The superposition operator acting in the space of such functions is also under consideration. Some applications to ordinary as well as partial differential equations are presented. Moreover, we introduce the class of the so-called asymptotically C(n)-almost periodic functions and give some of their properties. |
| format | Article |
| id | doaj-art-d59077aca2db4355a76dfae0304c956d |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2004-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-d59077aca2db4355a76dfae0304c956d2025-02-03T01:00:02ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252004-01-012004613237324710.1155/S016117120440653XOn some classes of almost periodic functions in abstract spacesDariusz Bugajewski0Gaston M. N'Guérékata1Faculty of Mathematics and Computer Science, Adam Mickiewicz University, Umultowska 87, Poznań 61-614, PolandDepartment of Mathematics, Morgan State University, 1700 E. Cold Spring Lane, Baltimore, MD 21251, USAWe deal with C(n)-almost periodic functions taking values in a Banach space. We give several properties of such functions, in particular, we investigate their behavior in view of differentiation as well as integration. The superposition operator acting in the space of such functions is also under consideration. Some applications to ordinary as well as partial differential equations are presented. Moreover, we introduce the class of the so-called asymptotically C(n)-almost periodic functions and give some of their properties.http://dx.doi.org/10.1155/S016117120440653X |
| spellingShingle | Dariusz Bugajewski Gaston M. N'Guérékata On some classes of almost periodic functions in abstract spaces International Journal of Mathematics and Mathematical Sciences |
| title | On some classes of almost periodic functions in abstract spaces |
| title_full | On some classes of almost periodic functions in abstract spaces |
| title_fullStr | On some classes of almost periodic functions in abstract spaces |
| title_full_unstemmed | On some classes of almost periodic functions in abstract spaces |
| title_short | On some classes of almost periodic functions in abstract spaces |
| title_sort | on some classes of almost periodic functions in abstract spaces |
| url | http://dx.doi.org/10.1155/S016117120440653X |
| work_keys_str_mv | AT dariuszbugajewski onsomeclassesofalmostperiodicfunctionsinabstractspaces AT gastonmnguerekata onsomeclassesofalmostperiodicfunctionsinabstractspaces |