Approximate controllability of Euler-Bernoulli viscoelastic systems
| dc.contributor.author | Yang, Zhifeng | |
| dc.contributor.author | Feng, Zhaosheng | |
| dc.date.accessioned | 2021-10-15T16:38:49Z | |
| dc.date.available | 2021-10-15T16:38:49Z | |
| dc.date.issued | 2019-01-30 | |
| dc.description.abstract | In this article, we study an Euler-Bernoulli viscoelastic control system which is dissipative due to the presence of the viscoelastic term. The main feature which distinguishes this paper from other related works lies in the fact that we no longer impose traditional conditions such as complete monotonicity and decay property on the kernel function g. Without loss of generality, we study the system in the case of g ≡ 1. By means of the duality principle and the Hahn-Banach theorem, we show that the system with g = 1 is approximately controllable in the appropriate function space. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 16 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Yang, Z., & Feng, Z. (2019). Approximate controllability of Euler-Bernoulli viscoelastic systems. <i>Electronic Journal of Differential Equations, 2019</i>(19), pp. 1-16. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14661 | |
| 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, 2019, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Euler-Bernoulli viscoelastic system | |
| dc.subject | Approximate controllability | |
| dc.subject | Duality principle | |
| dc.subject | Hahn-Banach theorem | |
| dc.title | Approximate controllability of Euler-Bernoulli viscoelastic systems | |
| dc.type | Article |