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Journal of Convex Analysis 12 (2005), No. 2, 331--349
Copyright Heldermann Verlag 2005



A Turnpike Property for a Class of Variational Problems

Alexander J. Zaslavski
Department of Mathematics, Technion - Israel Institute of Technology, 32000 Haifa, Israel



We examine the structure of extremals of variational problems with continuous integrands f: Rn Rn --> R1 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.

Keywords: Complete metric space, good function, integrand, turnpike property.

MSC: 49J99; 54E52

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