On an nth-order infinitesimal generator and time-dependent operator differential equation with a strongly almost periodic solution
In a Banach space, if u is a Stepanov almost periodic solution of a certain nth-order infinitesimal generator and time-dependent operator differential equation with a Stepanov almost periodic forcing function, then u,u′,…,u (n−2) are all strongly almost periodic and u (n−1) is weakly almost periodic...
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| Format: | Article |
| Language: | English |
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Wiley
2002-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171202108295 |
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| _version_ | 1832560294874841088 |
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| author | Aribindi Satyanarayan Rao |
| author_facet | Aribindi Satyanarayan Rao |
| author_sort | Aribindi Satyanarayan Rao |
| collection | DOAJ |
| description | In a Banach space, if u is a Stepanov almost periodic solution of a certain nth-order infinitesimal generator and time-dependent operator differential equation with a Stepanov almost periodic forcing function, then u,u′,…,u (n−2) are all strongly almost periodic and u (n−1) is weakly almost periodic. |
| format | Article |
| id | doaj-art-0ff048720a7b48f0a0ce6efb899fc7b2 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2002-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-0ff048720a7b48f0a0ce6efb899fc7b22025-02-03T01:27:52ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252002-01-0132957357810.1155/S0161171202108295On an nth-order infinitesimal generator and time-dependent operator differential equation with a strongly almost periodic solutionAribindi Satyanarayan Rao0Department of Computer Science, Vanier College, 821 Avenue Ste-Croix, St-Laurent, Quebec H4L 3X9, CanadaIn a Banach space, if u is a Stepanov almost periodic solution of a certain nth-order infinitesimal generator and time-dependent operator differential equation with a Stepanov almost periodic forcing function, then u,u′,…,u (n−2) are all strongly almost periodic and u (n−1) is weakly almost periodic.http://dx.doi.org/10.1155/S0161171202108295 |
| spellingShingle | Aribindi Satyanarayan Rao On an nth-order infinitesimal generator and time-dependent operator differential equation with a strongly almost periodic solution International Journal of Mathematics and Mathematical Sciences |
| title | On an nth-order infinitesimal generator and time-dependent operator differential equation with a strongly almost periodic solution |
| title_full | On an nth-order infinitesimal generator and time-dependent operator differential equation with a strongly almost periodic solution |
| title_fullStr | On an nth-order infinitesimal generator and time-dependent operator differential equation with a strongly almost periodic solution |
| title_full_unstemmed | On an nth-order infinitesimal generator and time-dependent operator differential equation with a strongly almost periodic solution |
| title_short | On an nth-order infinitesimal generator and time-dependent operator differential equation with a strongly almost periodic solution |
| title_sort | on an nth order infinitesimal generator and time dependent operator differential equation with a strongly almost periodic solution |
| url | http://dx.doi.org/10.1155/S0161171202108295 |
| work_keys_str_mv | AT aribindisatyanarayanrao onannthorderinfinitesimalgeneratorandtimedependentoperatordifferentialequationwithastronglyalmostperiodicsolution |