Geodesic
Singular quadratic functionals of one dependent variable
Commentationes Mathematicae Universitatis Carolinae, Tome 36 (1995) no. 2, pp. 219-237

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Singular quadratic functionals of one dependent variable with nonseparated boundary conditions are investigated. Necessary and sufficient conditions for nonnegativity of these functionals are derived using the concept of {\it coupled point} and {\it singularity condition}. The paper also includes two comparison theorems for coupled points with respect to the various boundary conditions.
Classification : 34A10, 34C10, 49B10, 49K05, 49N10
Keywords: quadratic functional; singular quadratic functional; periodic and antiperiodic boundary condition; conjugate point; coupled point; singularity condition 
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     title = {Singular quadratic functionals of one dependent variable},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {219--237},
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Došlá, Zuzana; Došlý, Ondřej. Singular quadratic functionals of one dependent variable. Commentationes Mathematicae Universitatis Carolinae, Tome 36 (1995) no. 2, pp. 219-237. http://geodesic.mathdoc.fr/item/CMUC_1995__36_2_a1/