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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
MathSciNet review: 0405208
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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.

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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

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