On almost periodic solutions of the differential equation x″(t)=Ax(t) in Hilbert spaces
We prove almost periodicity of solutions of the equation x″(t)=Ax(t) when the linear operator A satisfies an inequality of the form Re(Ax,x)≥0.
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| Format: | Article |
| Language: | English |
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Wiley
2001-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171201006652 |
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| _version_ | 1832552257417117696 |
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| author | Gaston M. N'Guerekata |
| author_facet | Gaston M. N'Guerekata |
| author_sort | Gaston M. N'Guerekata |
| collection | DOAJ |
| description | We prove almost periodicity of solutions of the equation x″(t)=Ax(t) when the linear operator A satisfies an inequality of the form Re(Ax,x)≥0. |
| format | Article |
| id | doaj-art-cbc60a4006ff461698551ec115f51d34 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2001-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-cbc60a4006ff461698551ec115f51d342025-02-03T05:59:18ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252001-01-0128424724910.1155/S0161171201006652On almost periodic solutions of the differential equation x″(t)=Ax(t) in Hilbert spacesGaston M. N'Guerekata0Department of Mathematics, Morgan State University, Baltimore, MD 21251, USAWe prove almost periodicity of solutions of the equation x″(t)=Ax(t) when the linear operator A satisfies an inequality of the form Re(Ax,x)≥0.http://dx.doi.org/10.1155/S0161171201006652 |
| spellingShingle | Gaston M. N'Guerekata On almost periodic solutions of the differential equation x″(t)=Ax(t) in Hilbert spaces International Journal of Mathematics and Mathematical Sciences |
| title | On almost periodic solutions of the differential equation x″(t)=Ax(t) in Hilbert spaces |
| title_full | On almost periodic solutions of the differential equation x″(t)=Ax(t) in Hilbert spaces |
| title_fullStr | On almost periodic solutions of the differential equation x″(t)=Ax(t) in Hilbert spaces |
| title_full_unstemmed | On almost periodic solutions of the differential equation x″(t)=Ax(t) in Hilbert spaces |
| title_short | On almost periodic solutions of the differential equation x″(t)=Ax(t) in Hilbert spaces |
| title_sort | on almost periodic solutions of the differential equation x t ax t in hilbert spaces |
| url | http://dx.doi.org/10.1155/S0161171201006652 |
| work_keys_str_mv | AT gastonmnguerekata onalmostperiodicsolutionsofthedifferentialequationxtaxtinhilbertspaces |