A TURNPIKE RESULT FOR AUTONOMOUS VARIATIONAL PROBLEMS.

In this paper we examine the structure of extremals of variational problems with continuous integrands f: Rn × Rn → R1 which belong to a complete metric space of functions. Our results deal with the turnpike properties of variational problems. To have this property means that the solutions of the problems are determined mainly by the integrand, and are essentially independent of the choice of interval and endpoint conditions. [ABSTRACT FROM AUTHOR]