Global and local versions for a Phong Vu theorem for periodic evolution families in Hilbert spaces
| dc.contributor.author | Buse, Constantin | |
| dc.contributor.author | Nguyen, Thanh Lan | |
| dc.contributor.author | O'Regan, Donal | |
| dc.date.accessioned | 2022-03-10T17:23:57Z | |
| dc.date.available | 2022-03-10T17:23:57Z | |
| dc.date.issued | 2018-11-20 | |
| dc.description.abstract | A theorem of Gearhart concerning strongly continuous semigroups in Hilbert spaces is extremely useful for stability analysis of concrete equations; see e.g. [20]), and for control theory [27] or [13, page 475]. Phong Vu introduced an equivalent condition in [23]. The aim of this article is to extend these results from the autonomous case to time dependent 1-periodic evolution equations in Hilbert spaces. Both cases (continuous and discrete) are analyzed and global and local versions of the Phong Vu theorem are provided. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 12 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Buşe, C., Nguyen, L. T., & O'Regan, D. (2018). Global and local versions for a Phong Vu theorem for periodic evolution families in Hilbert spaces. <i>Electronic Journal of Differential Equations, 2018</i>(188), pp. 1-12. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15484 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2018, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Uniform exponential stability | |
| dc.subject | Growth bounds | |
| dc.subject | Fourier series | |
| dc.subject | Exponentially bounded evolution families of operators | |
| dc.title | Global and local versions for a Phong Vu theorem for periodic evolution families in Hilbert spaces | |
| dc.type | Article |