A New Estimation of the Growth Bound of a Periodic Evolution Family on Banach Spaces
Let be a strongly continuous and -periodic evolution family acting on a complex Banach space . We prove that if and then the growth bound of the family is less than or equal to .
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2013/260920 |
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| _version_ | 1850161907191775232 |
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| author | Constantin Buse Aftab Khan Gul Rahmat Afshan Tabassum |
| author_facet | Constantin Buse Aftab Khan Gul Rahmat Afshan Tabassum |
| author_sort | Constantin Buse |
| collection | DOAJ |
| description | Let be a strongly continuous and -periodic evolution family acting on a complex Banach space . We prove that if and then the growth bound of the family is less than or equal to . |
| format | Article |
| id | doaj-art-f9d7698e97bb4885aff3d97e6ff2aac4 |
| institution | OA Journals |
| issn | 0972-6802 1758-4965 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces and Applications |
| spelling | doaj-art-f9d7698e97bb4885aff3d97e6ff2aac42025-08-20T02:22:41ZengWileyJournal of Function Spaces and Applications0972-68021758-49652013-01-01201310.1155/2013/260920260920A New Estimation of the Growth Bound of a Periodic Evolution Family on Banach SpacesConstantin Buse0Aftab Khan1Gul Rahmat2Afshan Tabassum3Department of Mathematics, West University of Timisoara, Boulevard V. Parvan No. 4, 300223 Timisoara, RomaniaAbdus Salam School of Mathematical Sciences (ASSMS), Government College University, 68-B, New Muslim Town, Lahore 54600, PakistanAbdus Salam School of Mathematical Sciences (ASSMS), Government College University, 68-B, New Muslim Town, Lahore 54600, PakistanAbdus Salam School of Mathematical Sciences (ASSMS), Government College University, 68-B, New Muslim Town, Lahore 54600, PakistanLet be a strongly continuous and -periodic evolution family acting on a complex Banach space . We prove that if and then the growth bound of the family is less than or equal to .http://dx.doi.org/10.1155/2013/260920 |
| spellingShingle | Constantin Buse Aftab Khan Gul Rahmat Afshan Tabassum A New Estimation of the Growth Bound of a Periodic Evolution Family on Banach Spaces Journal of Function Spaces and Applications |
| title | A New Estimation of the Growth Bound of a Periodic Evolution Family on Banach Spaces |
| title_full | A New Estimation of the Growth Bound of a Periodic Evolution Family on Banach Spaces |
| title_fullStr | A New Estimation of the Growth Bound of a Periodic Evolution Family on Banach Spaces |
| title_full_unstemmed | A New Estimation of the Growth Bound of a Periodic Evolution Family on Banach Spaces |
| title_short | A New Estimation of the Growth Bound of a Periodic Evolution Family on Banach Spaces |
| title_sort | new estimation of the growth bound of a periodic evolution family on banach spaces |
| url | http://dx.doi.org/10.1155/2013/260920 |
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