A turnpike result for autonomous variational problems

Abstract

In this paper we examine the structure of extremals of variational problems with continuous integrands f:R ⁿ  × R ⁿ  → R ¹ 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.

Keywords:

• Complete metric space
• Good function
• Integrand
• Turnpike property
• Mathematics Subject Classification 2000: 49J99
• 54E52

Notes

E-mail: [email protected]

Additional information

Notes on contributors

Alexander J. Zaslavski *

E-mail: [email protected]