Title :
An abstract Jacobi condition
Author :
Zezza, PierLuigi
Author_Institution :
Firenze Univ., Italy
Abstract :
The author presents the definitions of a conjugate and semi-conjugate point for a quadratic elliptic form in a Hilbert space, and states necessary and sufficient conditions for the form to be positive. It is shown that the abstract results apply to a problem in the calculus of variations where both end points are allowed to vary
Keywords :
combinatorial mathematics; variational techniques; Hilbert space; abstract Jacobi condition; calculus of variations; combinatorial mathematics; conjugate point; necessary and sufficient conditions; quadratic elliptic form; semi-conjugate point; variational techniques; Calculus; Constraint theory; Hilbert space; Jacobian matrices; Sufficient conditions;
Conference_Titel :
Decision and Control, 1991., Proceedings of the 30th IEEE Conference on
Conference_Location :
Brighton
Print_ISBN :
0-7803-0450-0
DOI :
10.1109/CDC.1991.261381
