| Alexander J. Zaslavski | ||||||
| Key words: | good function, infinite horizon, periodic minimizer, turnpike property | |||||
| Mathematices Subject Classification: 49J99 | ||||||
| Abstract: | |||||
| In this paper we study the structure of optimal solutions of | |||||
| one-dimensional second order variational problems arising in continuum mechanics. We are interested in properties of the optimal solutions which are independent of the length of the interval, for all sufficiently large intervals. The study of theseproperties is based on the relation between variational problems on bounded large intervals and a limitimg problem on $[0,\infty)$. | |||||
| Turnpike results for a class of variational problems arising in continuum mechanics | ||
| Special Issue in Honor of the 70th Birthday of R.Tyrrell Rockafellar | |||
| Volume 1, Number 1, January 2005, pp. 191-217 | |||
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