Abstract
This work investigates the approximate controllability and free-time approximate controllability of a generalized semi linear Benjamin–Bona–Mahony type dynamic equation defined on homogeneous time scales, subject to homogeneous Dirichlet boundary conditions. To accomplish this, the problem is framed within an abstract setting, employing the -semigroup theory on time scales. Moreover, we apply a technique introduced by Bashirov et al. [1, 2], which enables us to avoid relying on fixed point theorems.
Recommended Citation
M. Bohner et al., "Controllability of the Semilinear Benjamin–Bona–Mahony Dynamic Equation on Homogeneous Time Scales," Journal of Dynamical and Control Systems, vol. 32, no. 1, article no. 8, Springer, Mar 2026.
The definitive version is available at https://doi.org/10.1007/s10883-026-09765-4
Department(s)
Mathematics and Statistics
Keywords and Phrases
-semigroups; BBM equation; Controllability; Infinitesimal generator; Time scales
International Standard Serial Number (ISSN)
1573-8698; 1079-2724
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2026 Springer, All rights reserved.
Publication Date
01 Mar 2026
