Approximate controllability of the burgers equation with impulses and delay
Document Type
Article
Publication Date
11-1-2017
Abstract
In this paper, we prove the interior approximate controllability of the following Burgers equation under the influence of impulses and delay: (Formula Presented) where (Formula Presented), ω is an open nonempty subset of (0, 1), 1ω denotes the characteristic function of the set ω and the distributed control u belongs to L2 ([0, τ]; L2[0, 1]). We prove the following statement: If the functions f, Jk are smooth enough, then the system is approximately controllable on [0, τ], for all τ > 0. In this case, the delay helps us to prove the approximate controllability by pulling back the control solution to a fixed curve in a short time interval.
Publication Source (Journal or Book title)
Far East Journal of Mathematical Sciences
First Page
2291
Last Page
2306
Recommended Citation
Leiva, H., & Sundar, P. (2017). Approximate controllability of the burgers equation with impulses and delay. Far East Journal of Mathematical Sciences, 102 (10), 2291-2306. https://doi.org/10.17654/MS102102291
