## Differential and Integral Equations

### The structure of extremals of autonomous variational problems with vector-valued functions

Alexander J. Zaslavski

#### Abstract

In this work we study the structure of extremals of autonomous variational problems with vector-valued functions on intervals in $[0,\infty)$. We are interested in a turnpike property of the extremals which is independent of the length of the interval, for all sufficiently large intervals. To have this property means, roughly speaking, that the approximate solutions of the variational problems are determined mainly by the integrand, and are essentially independent of the choice of interval and endpoint conditions.

#### Article information

Source
Differential Integral Equations, Volume 19, Number 10 (2006), 1177-1200.

Dates
First available in Project Euclid: 21 December 2012

https://projecteuclid.org/euclid.die/1356050314

Mathematical Reviews number (MathSciNet)
MR2278675

Zentralblatt MATH identifier
1212.49034

Subjects
Primary: 49J99: None of the above, but in this section

#### Citation

Zaslavski, Alexander J. The structure of extremals of autonomous variational problems with vector-valued functions. Differential Integral Equations 19 (2006), no. 10, 1177--1200. https://projecteuclid.org/euclid.die/1356050314