On nth-order differential operators with Bohr-Neugebauer type property
Suppose B is a bounded linear operator in a Banach space. If the differential operator dndtn−B has a Bohr-Neugebauer type property for Bochner almost periodic functions, then, for any Stepanov almost periodic continuous function g(t) and any Stepanov-bounded solution of the differential equation dnd...
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| Format: | Article |
| Language: | English |
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Wiley
1987-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171287000061 |
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| _version_ | 1832566574359248896 |
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| author | Aribindi Satyanarayan Rao |
| author_facet | Aribindi Satyanarayan Rao |
| author_sort | Aribindi Satyanarayan Rao |
| collection | DOAJ |
| description | Suppose B is a bounded linear operator in a Banach space. If the differential operator dndtn−B has a Bohr-Neugebauer type property for Bochner almost periodic functions, then, for any Stepanov almost periodic continuous function g(t) and any Stepanov-bounded solution of the differential equation dndtnu(t)−Bu(t)=g(t), u(n−1),…,u′,u are all almost periodic. |
| format | Article |
| id | doaj-art-d0ea70df1f2e4e63acc3551f328e7c68 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1987-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-d0ea70df1f2e4e63acc3551f328e7c682025-02-03T01:03:47ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251987-01-01101515510.1155/S0161171287000061On nth-order differential operators with Bohr-Neugebauer type propertyAribindi Satyanarayan Rao0Department of Mathematics, Concordia Univ., Montreal, CanadaSuppose B is a bounded linear operator in a Banach space. If the differential operator dndtn−B has a Bohr-Neugebauer type property for Bochner almost periodic functions, then, for any Stepanov almost periodic continuous function g(t) and any Stepanov-bounded solution of the differential equation dndtnu(t)−Bu(t)=g(t), u(n−1),…,u′,u are all almost periodic.http://dx.doi.org/10.1155/S0161171287000061bounded linear operatorBohr-Neuebauer propertyBochner (Stepanov or weakly) almost periodic functioncompletely continuous normal operator. |
| spellingShingle | Aribindi Satyanarayan Rao On nth-order differential operators with Bohr-Neugebauer type property International Journal of Mathematics and Mathematical Sciences bounded linear operator Bohr-Neuebauer property Bochner (Stepanov or weakly) almost periodic function completely continuous normal operator. |
| title | On nth-order differential operators with Bohr-Neugebauer type property |
| title_full | On nth-order differential operators with Bohr-Neugebauer type property |
| title_fullStr | On nth-order differential operators with Bohr-Neugebauer type property |
| title_full_unstemmed | On nth-order differential operators with Bohr-Neugebauer type property |
| title_short | On nth-order differential operators with Bohr-Neugebauer type property |
| title_sort | on nth order differential operators with bohr neugebauer type property |
| topic | bounded linear operator Bohr-Neuebauer property Bochner (Stepanov or weakly) almost periodic function completely continuous normal operator. |
| url | http://dx.doi.org/10.1155/S0161171287000061 |
| work_keys_str_mv | AT aribindisatyanarayanrao onnthorderdifferentialoperatorswithbohrneugebauertypeproperty |