Displaying similar documents to “Quadratic functionals with a variable singular end point”

Singular quadratic functionals of one dependent variable

Zuzana Došlá, Ondřej Došlý (1995)

Commentationes Mathematicae Universitatis Carolinae

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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 and . The paper also includes two comparison theorems for coupled points with respect to the various boundary conditions.

Discrete singular functionals

Robert Mařík (2005)

Archivum Mathematicum

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In the paper the discrete version of the Morse’s singularity condition is established. This condition ensures that the discrete functional over the unbounded interval is positive semidefinite on the class of the admissible functions. Two types of admissibility are considered.