A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2018; you can also visit the original URL.
The file type is application/pdf.
Coupled points in the calculus of variations and applications to periodic problems
1989
Transactions of the American Mathematical Society
Preserved Fulltext
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.
doi:10.1090/s0002-9947-1989-0961599-x
fatcat:eds7rgpd2ne33hp4hg6do6bv64