OPTIMAL HARVESTING CONTROL PROBLEM FOR LINEAR AGE-DEPENDENT POPULATION DYNAMICS

摘要

An optimal harvesting problem for linear age-dependent population dynamics is investigated. By Mazur's Theorem, the existence of solutions of the optimal control problem (OH) is demonstrated. The first order necessary conditions of optimality for problem (OH) is obtained by the conception of normal cone. Finally, under suitable assumptions, the uniqueness of solutions of the optimal control problem (OH) is given. The results extend some known criteria.