Faggian, Silvia; Gozzi, Fausto On the dynamic programming approach for optimal control problems of PDE’s with age structure. (English) Zbl 1059.49005 Math. Popul. Stud. 11, No. 3-4, 233-270 (2004). Summary: A survey and some new results are presented concerning the dynamic programming for a class of optimal control problems of partial differential equations with age-structure and of delay systems that include some applied examples from economic theory and from population dynamics. A general optimal control problem in Hilbert spaces applying to all examples is investigated, with particular stress on one family of applications: optimal investment models with vintage capital. Some new results are given for the case of constrained investments, including a study of the properties of the optimal trajectories. Cited in 11 Documents MSC: 49J20 Existence theories for optimal control problems involving partial differential equations 91B28 Finance etc. (MSC2000) 49L20 Dynamic programming in optimal control and differential games 92D25 Population dynamics (general) Keywords:age-structured systems; optimal control; economic growth; vintage models; dynamic programming; population dynamics PDFBibTeX XMLCite \textit{S. Faggian} and \textit{F. Gozzi}, Math. Popul. 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