Geodesic
A Turnpike Result for a Class of Problems of the Calculus of Variations with Extended-Valued Integrands
Journal of convex analysis, Tome 15 (2008) no. 4, pp. 869-89.

Voir la notice de l'article provenant de la source Heldermann Verlag

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.
Classification : 49J99
Mots-clés : Good function, infinite horizon, overtaking optimal function, turnpike property 
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     title = {A {Turnpike} {Result} for a {Class} of {Problems} of the {Calculus} of {Variations} with {Extended-Valued} {Integrands}},
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A. J. Zaslavski. A Turnpike Result for a Class of Problems of the Calculus of Variations with Extended-Valued Integrands. Journal of convex analysis, Tome 15 (2008) no. 4, pp. 869-89. http://geodesic.mathdoc.fr/item/JCA_2008_15_4_JCA_2008_15_4_a11/