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| Volume 10, Number 2, August 2009, pp. 325-343 | |||||||
| Alexander J. Zaslavski | |||||||
| Key words: | |||||||
| Approximate solution, infinite horizon problem, turnpike property | |||||||
| Mathematices Subject Classification: 49J99 | |||||||
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| Abstract: | |||
| In this paper we discuss the existence and the structure of approximate solutions of autonomous one-dimensional second order variational problems related to a model in thermodynamics. We are interested in turnpike properties of the approximate solutions which are independent of the length of the interval, for all sufficiently large intervals. | |||
| One-dimensional infinite horizon variational problems arising in continuum mechanics | |