Abstract

We study the structure of approximate solutions of an autonomous variational problem with a lower semicontinuous integrand f:Rn×Rn→R1∪{∞},f:R^n\times R^n \to R^1\cup \{\infty\}, where RnR^n is the nn-dimensional Euclidean space. We are interested in a turnpike property of the approximate solutions which are independent of the length of the interval, for all sufficiently large intervals.

Author information

Contact details are reproduced from the original publication and may be historical.

Alexander J. Zaslavski

Dept. of Mathematics, Technion - Israel Institute of Technology, 32000 Haifa, Israel

ajzasl@tx.technion.ac.il

Keywords

  • Good function
  • infinite horizon
  • overtaking optimal function
  • turnpike property

Mathematics Subject Classification

49J99

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Suggested citation

A. J. Zaslavski. “A Turnpike Result for a Class of Problems of the Calculus of Variations with Extended-Valued Integrands.” Journal of Convex Analysis 15 (2008), No. 4, 869–890. https://doi.org/10.68381/jca15056

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Published by Heldermann Verlag, 2008. Rights now held by Banach Press.