Abstract

We examine the structure of extremals of variational problems with continuous integrands f:Rn×Rn→R1f: R^n \times R^n \to R^1 which belong to a complete metric space of functions. Our results deal with the turnpike properties of variational problems. To have this property means that the solutions of the problems are determined mainly by the integrand, and are essentially independent of the choice of interval and endpoint conditions.

Author information

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Alexander J. Zaslavski

Department of Mathematics, Technion - Israel Institute of Technology, 32000 Haifa, Israel

Keywords

  • Complete metric space
  • good function
  • integrand
  • turnpike property

Mathematics Subject Classification

49J99; 54E52

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Suggested citation

A. J. Zaslavski. “A Turnpike Property for a Class of Variational Problems.” Journal of Convex Analysis 12 (2005), No. 2, 331–349. https://doi.org/10.68381/jca12023

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Published by Heldermann Verlag, 2005. Rights now held by Banach Press LLC.