Coupled points in the calculus of variations and applications to periodic problems-Reference-Cited by-同舟云学术

Coupled points in the calculus of variations and applications to periodic problems

Published:1989 Issue:1 Volume:315 Page:323-335
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Zeidan Vera,Zezza Pier Luigi

Abstract

The aim of this paper is to introduce the definition of coupled points for the problems of the calculus of variations with general boundary conditions, and to develop second order necessary conditions for optimality. When one of the end points is fixed, our necessary conditions reduce to the known ones involving conjugate points. We also apply our results to the periodic problems of the calculus of variations.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1989-315-01/S0002-9947-1989-0961599-X/S0002-9947-1989-0961599-X.pdf

Reference11 articles.

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3. Regularity properties of solutions to the basic problem in the calculus of variations;Clarke, F. H.;Trans. Amer. Math. Soc.,1985

4. M. R. Hestenes, Calculus of variations, Wiley, New York, 1969.

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