
Journal of Convex Analysis 15 (2008), No. 4, 869890 Copyright Heldermann Verlag 2008 A Turnpike Result for a Class of Problems of the Calculus of Variations with ExtendedValued Integrands Alexander J. Zaslavski Dept. of Mathematics, Technion  Israel Institute of Technology, 32000 Haifa, Israel ajzasl@tx.technion.ac.il [Abstractpdf] 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 [ Fulltextpdf (157 KB)] for subscribers only. 