Title :
A variational problem with a continuum of weak local minima
Author :
Loewen, Philip D. ; Watson, Stephen J. ; Wolenski, Peter R.
Author_Institution :
Dept. of Math., British Columbia Univ., Vancouver, BC, Canada
Abstract :
We discuss a fixed-endpoint problem in the calculus of variations for which there is a continuum of piecewise-linear solutions of the Euler-Lagrange equation, each providing a weak local minimum, and each with a different integral value.
Keywords :
piecewise linear techniques; variational techniques; Euler-Lagrange equation; calculus of variations; fixed-endpoint problem; integral value; piecewise-linear solutions; variational problem; weak local minima continuum; weak local minimum; Calculus; IEL; Integral equations; Lifting equipment; Mathematics;
Conference_Titel :
Decision and Control, 2002, Proceedings of the 41st IEEE Conference on
Print_ISBN :
0-7803-7516-5
DOI :
10.1109/CDC.2002.1184422
