Remote Access Transactions of the American Mathematical Society
Green Open Access

Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Principal quadratic functionals


Author: E. C. Tomastik
Journal: Trans. Amer. Math. Soc. 218 (1976), 297-309
MSC: Primary 49B10
DOI: https://doi.org/10.1090/S0002-9947-1976-0405208-8
MathSciNet review: 0405208
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: The general theory of the existence of a minimum limit in the fixed and variable end point problems of singular quadratic functionals of n dependent variables is developed, generalizing the one dimensional results of Marston Morse, Walter Leighton and A. D. Martin and completing a phase of the n-dimensional theory initiated recently by the author.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 49B10

Retrieve articles in all journals with MSC: 49B10


Additional Information

DOI: https://doi.org/10.1090/S0002-9947-1976-0405208-8
Keywords: Principal quadratic functionals, singular quadratic functionals, selfadjoint second order systems of differential equations, Euler equation, conjugate point, focal point, oscillation
Article copyright: © Copyright 1976 American Mathematical Society