A class of scalar nonlinear difference equations with delay is considered. Sufficient conditions for the global asymptotic stability of a unique equilibrium are given. Applications in economics and other fields lead to consideration of associated optimal control problems. An optimal control problem of maximizing a consumption functional is stated. The existence of optimal solutions is established and their stability (the turnpike property) is proved.
JOGO MEC EurOPT 2010-Izmir : Continuous optimization and information-based technologies in the financial sector : Proceedings of the 24th Mini-EURO Conference
Event
Association of the European Operational Research Societies. Conference (24th : 2010 : Izmir, Turkey)
Issue
2
Publisher
Springer
Place of publication
New York, N.Y.
Series
Association of the European Operational Research Societies Conference