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Viscosity Solutions to Delay Differential Equations in Demo-Economy

Giorgio Fabbri

Mathematical Population Studies, 2008, vol. 15, issue 1, 27-54

Abstract: Economic and demographic models governed by linear delay differential equations are expressed as optimal control problems in infinite dimensions. A general objective function is considered and the concavity of the Hamiltonian is not required. The value function is a viscosity solution of the Hamilton-Jacobi-Bellman (HJB) equation and a verification theorem is proved.

Keywords: delay differential equation; vintage models; viscosity solutions (search for similar items in EconPapers)
Date: 2008
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Citations: View citations in EconPapers (2)

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DOI: 10.1080/08898480701792444

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Mathematical Population Studies is currently edited by Prof. Noel Bonneuil, Annick Lesne, Tomasz Zadlo, Malay Ghosh and Ezio Venturino

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