Yang, ZhifengFeng, Zhaosheng2021-10-152021-10-152019-01-30Yang, Z., & Feng, Z. (2019). Approximate controllability of Euler-Bernoulli viscoelastic systems. <i>Electronic Journal of Differential Equations, 2019</i>(19), pp. 1-16.1072-6691https://hdl.handle.net/10877/14661In 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.Text16 pages1 file (.pdf)enAttribution 4.0 InternationalEuler-Bernoulli viscoelastic systemApproximate controllabilityDuality principleHahn-Banach theoremArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.