Well-posedness and exponential stability for a wave equation with nonlocal time-delay condition
| dc.contributor.author | Raposo, Carlos Alberto | |
| dc.contributor.author | Nguyen, Huy Hoang | |
| dc.contributor.author | Ribeiro, Joilson | |
| dc.contributor.author | de Oliveira, Vanessa | |
| dc.date.accessioned | 2022-08-19T19:37:49Z | |
| dc.date.available | 2022-08-19T19:37:49Z | |
| dc.date.issued | 2017-11-10 | |
| dc.description.abstract | Well-posedness and exponential stability of nonlocal time-delayed of a wave equation with a integral conditions of the 1st kind forms the center of this work. Through semigroup theory we prove the well-posedness by the Hille-Yosida theorem and the exponential stability exploring the dissipative properties of the linear operator associated to damped model using the Gearhart-Huang-Pruss theorem. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 11 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Raposo, C. A., Nguyen, H. H., Ribeiro, J. O., & de Oliveira, V. B. (2017). Well-posedness and exponential stability for a wave equation with nonlocal time-delay condition. <i>Electronic Journal of Differential Equations, 2017</i>(279), pp. 1-11. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/16080 | |
| 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, 2017, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Well-posedness | |
| dc.subject | Exponential stability | |
| dc.subject | Wave equation | |
| dc.subject | Semigroup | |
| dc.title | Well-posedness and exponential stability for a wave equation with nonlocal time-delay condition | |
| dc.type | Article |