Geodesic
Quadratic functionals with a variable singular end point
Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992) no. 3, pp. 411-425 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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In this paper we introduce the definition of coupled point with respect to a (scalar) quadratic functional on a noncompact interval. In terms of coupled points we prove necessary (and sufficient) conditions for the nonnegativity of these functionals.
In this paper we introduce the definition of coupled point with respect to a (scalar) quadratic functional on a noncompact interval. In terms of coupled points we prove necessary (and sufficient) conditions for the nonnegativity of these functionals.
Classification : 34A10, 34A12, 34C10, 49B10, 49K05, 49K15
Keywords: quadratic functional; singular quadratic functional; Euler-Lagrange equation; conjugate point; coupled point; singularity condition 
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Došlá, Zuzana; Zezza, PierLuigi. Quadratic functionals with a variable singular end point. Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992) no. 3, pp. 411-425. http://geodesic.mathdoc.fr/item/CMUC_1992_33_3_a4/

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