On the spectrum of weakly almost periodic solutions of certain abstract differential equations
In a sequentially weakly complete Banach space, if the dual operator of a linear operator A satisfies certain conditions, then the spectrum of any weakly almost periodic solution of the differential equation u′=Au+f is identical with the spectrum of f except at the origin, where f is a weakly almost...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
1985-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171285000096 |
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| _version_ | 1832564995080060928 |
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| author | Aribindi Satyanarayan Rao L. S. Dube |
| author_facet | Aribindi Satyanarayan Rao L. S. Dube |
| author_sort | Aribindi Satyanarayan Rao |
| collection | DOAJ |
| description | In a sequentially weakly complete Banach space, if the dual operator of a linear operator A satisfies certain conditions, then the spectrum of any weakly almost periodic solution of the differential equation u′=Au+f is identical with the spectrum of f except at the origin, where f is a weakly almost periodic function. |
| format | Article |
| id | doaj-art-eccdeccdf0014c439b54c1afd11aa050 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1985-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-eccdeccdf0014c439b54c1afd11aa0502025-02-03T01:09:44ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251985-01-018110911210.1155/S0161171285000096On the spectrum of weakly almost periodic solutions of certain abstract differential equationsAribindi Satyanarayan Rao0L. S. Dube1Department of Mathematics, Sir George Williams Campus, Concordia University, Montreal, Quebec, CanadaDepartment of Mathematics, Vanier College, 821 Ste-Mis Croix Blvd., St.-Laurent, Quebec H4L 3x9, CanadaIn a sequentially weakly complete Banach space, if the dual operator of a linear operator A satisfies certain conditions, then the spectrum of any weakly almost periodic solution of the differential equation u′=Au+f is identical with the spectrum of f except at the origin, where f is a weakly almost periodic function.http://dx.doi.org/10.1155/S0161171285000096strongly (weakly) almost periodic functionsequentially weakly complete Banach spacedensely defined linear operatordual operatorHilbert spacenonnegative self-adjoint operator. |
| spellingShingle | Aribindi Satyanarayan Rao L. S. Dube On the spectrum of weakly almost periodic solutions of certain abstract differential equations International Journal of Mathematics and Mathematical Sciences strongly (weakly) almost periodic function sequentially weakly complete Banach space densely defined linear operator dual operator Hilbert space nonnegative self-adjoint operator. |
| title | On the spectrum of weakly almost periodic solutions of certain abstract differential equations |
| title_full | On the spectrum of weakly almost periodic solutions of certain abstract differential equations |
| title_fullStr | On the spectrum of weakly almost periodic solutions of certain abstract differential equations |
| title_full_unstemmed | On the spectrum of weakly almost periodic solutions of certain abstract differential equations |
| title_short | On the spectrum of weakly almost periodic solutions of certain abstract differential equations |
| title_sort | on the spectrum of weakly almost periodic solutions of certain abstract differential equations |
| topic | strongly (weakly) almost periodic function sequentially weakly complete Banach space densely defined linear operator dual operator Hilbert space nonnegative self-adjoint operator. |
| url | http://dx.doi.org/10.1155/S0161171285000096 |
| work_keys_str_mv | AT aribindisatyanarayanrao onthespectrumofweaklyalmostperiodicsolutionsofcertainabstractdifferentialequations AT lsdube onthespectrumofweaklyalmostperiodicsolutionsofcertainabstractdifferentialequations |