• DocumentCode
    391062
  • 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
  • Volume
    3
  • fYear
    2002
  • fDate
    10-13 Dec. 2002
  • Firstpage
    3530
  • 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;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 2002, Proceedings of the 41st IEEE Conference on
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-7516-5
  • Type

    conf

  • DOI
    10.1109/CDC.2002.1184422
  • Filename
    1184422