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Optimality in Infinite-Horizon Variational Problems under Sign Conditions

Author

Listed:
  • J. Blot

    (Maison des Sciences Économiques)

  • P. Cartigny

    (Université de la Méditerranée)

Abstract

We consider infinite-horizon variational problems on several spaces of curves. We establish relations between these problems and the properties of their solutions. Notably, we exhibit situations where optimality in a given space of curves implies optimality in a bigger space of curves. We work with a domain of definition of the Lagrangian which has a very general form and we provide assumptions to ensure a satisfactory theory of the necessary conditions of optimality. We apply these results to actualized Lagrangians.

Suggested Citation

  • J. Blot & P. Cartigny, 2000. "Optimality in Infinite-Horizon Variational Problems under Sign Conditions," Journal of Optimization Theory and Applications, Springer, vol. 106(2), pages 411-419, August.
    • Handle: RePEc:spr:joptap:v:106:y:2000:i:2:d:10.1023_a:1004611816252
    DOI: 10.1023/A:1004611816252
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    Cited by:

    1. A. J. Zaslavski, 2010. "Stability of a Turnpike Phenomenon for a Discrete-Time Optimal Control System," Journal of Optimization Theory and Applications, Springer, vol. 145(3), pages 597-612, June.

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