In this paper, we study an inverse problem consisting of determining the unknown local changes of a population densities independent of the missing initial population age distribution from the knowledge of some measurement in the state. The main idea is to transform a study of the inverse problem into an optimal control problem with incomplete data. The proposed method to solve this kind of problem is the no-regret control approximated by a sequence of low-regret control, we show the existence and uniqueness of the sequence of low-regret control, which converges weakly to the unique no-regret control. The local changes will be characterized by a coupled optimality system.
Publication Date
12/10/2024
Publisher
Russian Mathematics
Volume No
Issue No
DOI
doi.org/10.3103/S1066369X24700646
Keywords
identification problem age-structured population incomplete data no-regret control coupled optimality system
عبدالحق حفظ الله | Abdelhak Hafdallah | 5972