Simultaneous null controllability for two age-dependence backward population dynamics problems
C. K. Some, S. Sawadogo, M. Kere
Laboratoire LANIBIO, Université Ouaga 1 Pr. Joseph KI-ZERBO, 09 BP 522 Ouagadougou 09, Burkina Faso
Received on October 29, 2018, revised version on February 17, 2019
Accepted on February 7, 2019 (with modifications)
Communicated by Gisèle Mophou
| Abstract. In this paper, we study the null controllability for a system of two strokeequations arising from a coupled population dynamics models. First we transform the system of two stroke equations with a same control to a system of coupled two stroke equations with a control function acting only in one equation. Then, we establish a global Carleman inequality and we deduce an observability inequality that we use to solve the problem thanks to appropriate estimates adapted to the system. | |
| Keywords: | null-controllability, population dynamics equation, Carleman inequalities, observability inequality.. |
| 2010 Mathematics Subject Classification: 49J20, 93B05, 92D25, 35Q92,35Q93. | |