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Journal of Convex Analysis 15 (2008), No. 4, 869--890
Copyright Heldermann Verlag 2008

A Turnpike Result for a Class of Problems of the Calculus of Variations with Extended-Valued Integrands

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


We study the structure of approximate solutions of an autonomous variational problem with a lower semicontinuous integrand $$f:R^n\times R^n \to R^1\cup \{\infty\},$$ where $R^n$ is the $n$-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.

Keywords: Good function, infinite horizon, overtaking optimal function, turnpike property.

MSC: 49J99

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