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