Zuzana Do\v{s}l\'a, Ond\v{r}ej Do\v{s}l\'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 nonseparated 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 antiperiodic boundary condition, conjugate point, coupled point, singularity condition
AMS Subject Classification: 34C10, 49B10, 34A10