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Zuzana Doˇsl´a, Ondˇrej Doˇsl´y 5ECK=H GK=@H=JE? BK?JE=I B A @AFA@AJ L=HE=>A

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Zuzana Doˇsl´ a, Ondˇrej Doˇsl´ y

Singular quadratic functionals of one dependent variable

Comment.Math.Univ.Carolinae 36,2 (1995) 219-237.

Abstract: Singular quadratic functionals of one dependent variable with nonsepa- rated boundary conditions are investigated. Necessary and sufficient conditions for nonnegativity of these functionals are derived using the concept of coupled point and singularity condition. The paper also includes two comparison theorems for coupled points with respect to the various boundary conditions.

Keywords: quadratic functional, singular quadratic functional, periodic and an- tiperiodic boundary condition, conjugate point, coupled point, singularity condition AMS Subject Classification: 34C10, 49B10, 34A10

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