Well-posedness and exponential decay of solutions for a transmission problem with distributed delay
| dc.contributor.author | Liu, Gongwei | |
| dc.date.accessioned | 2022-06-06T20:28:18Z | |
| dc.date.available | 2022-06-06T20:28:18Z | |
| dc.date.issued | 2017-07-10 | |
| dc.description.abstract | In this article, we consider a transmission problem in a bounded domain with a distributed delay in the first equation. Using a semigroup theorem, we prove the existence and uniqueness of global solution under suitable assumptions on the weight of damping and the weight of distributed delay. Also we establish the exponential stability of the solution by introducing a suitable Lyapunov functional. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 13 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Liu, G. (2017). Well-posedness and exponential decay of solutions for a transmission problem with distributed delay. Electronic Journal of Differential Equations, 2017(174), pp. 1-13. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15867 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.holder | This work is licensed under a Creative Commons Attribution 4.0 International License. | |
| 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 | Transmission problem | |
| dc.subject | Distributed delay | |
| dc.subject | Exponential decay | |
| dc.title | Well-posedness and exponential decay of solutions for a transmission problem with distributed delay | |
| dc.type | Article |