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Optimization
A Journal of Mathematical Programming and Operations Research
Volume 64, 2015 - Issue 3
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Articles

Pontryagin principles for bounded discrete-time processes

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Pages 505-520 | Received 07 Jun 2012, Accepted 26 Dec 2012, Published online: 12 Mar 2013

References

  • Stokey NL, Lucas RE, Prescott EC. Recursive methods in economic dynamics. Cambridge, MA: Harvard University Press; 1989.
  • Van C, Dana R-A. Dynamic programming in economics. Dordrecht: Kluwer Academic Publishers; 2003.
  • Van C, Saglam HC. Optimal growth models and the Lagrange multipliers. J. Math. Econom. 2004;40:393–410.
  • Clark CW. Mathematical bioeconomics; Optimal management of renewable resources. Hoboken, NJ: J. Wiley and Sons, Inc.; 2005.
  • Chichinilsky G. An axiomatic approach to sustainable development. Soc. Choice Welfare. 1996;13:231–257.
  • Blot J, Hayek N, Pekergin F, Pekergin N. The competition between Internet service qualities from a difference game viewpoint. Int. Game Theory Rev. 2012;14:1250001 (36 pages). doi: 10.1142/S0219198912500016.
  • BBlot J, Hayek N. Infinite horizon discrete time control problems for bounded processes. Adv. Difference Equ. 2008;2008:1-15. Article ID 654267.
  • Jahn J. Introduction to the theory of nonlinear optimization. Berlin: Springer-Verlag; 2007.
  • Blot J, Crettez B. On the smoothness of optimal paths. Decision Economics Finance. 2004;27:1–34.
  • Aliprantis CD, Border KC. Infinite dimensional analysis. Berlin: Springer-Verlag; 1999.
  • Ekeland I, Temam R. Analyse convexe et problèmes variationnels. Paris: Dunod and Gauthier-Villars; 1974.
  • Blot J. Infinite-horizon Pontryagin principles without invertibility. J. Nonlinear Convex Anal. 2009;10:157–176.
  • Blot J, Chebbi H. Discrete-time Pontryagin principles with infinite horizon. J. Math. Anal. Appl. 2000;246:265–279.
  • Werner J. Optimization theory and applications. Braunschweig: Fried. Vieweg and Sons Verlagsgesellschaft mbH; 1984.
  • Zaslavski AJ. Turnpike properties in the calculus of variations and optimal control. New York, NY: Springer Science + Business Media, Inc.; 2006.

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