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Structure of approximate solutions of variational problemswith extended-valued convexintegrands

Published online by Cambridge University Press:  20 August 2008

Alexander J. Zaslavski
Alexander J. Zaslavski*
Affiliation:
Department of Mathematics, The Technion-Israel Institute of Technology, 32000 Haifa, Israel. ajzasl@tx.technion.ac.il
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Abstract

In this work we study the structure of approximate solutions of autonomous variational problems with a lower semicontinuous strictly convex integrand f : Rn×Rn$\to$R1$\cup$$\{\infty\}$, where Rn is the n-dimensional Euclidean space. We obtain a full description of the structure of the approximate solutions which is independent of the length of the interval, for all sufficiently large intervals.

Keywords

Good functioninfinite horizonintegrandovertaking optimal functionturnpike property
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 15 , Issue 4 , October 2009 , pp. 872 - 894
Copyright
© EDP Sciences, SMAI, 2008

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