Mangasarian-type Sufficient Optimality Conditions for Age-Structured Control Problems with State Constraints. An Application to Investment in Vintage Capital
[Krastev Vladimir; Кръстев Владимир] We consider a class of age-structured control problems with state constraints, nonlocal dynamics and boundary conditions, defined on finite time intervals. For these problems we suggest Mangasarian-type sufficient conditions for the optimality of the control. As an application we consider a model with a state constraint of optimal investment in vintage capital goods. To solve this model we suggest a numerical method and we prove that this method converges...