# Singular quadratic functionals of one dependent variable

Commentationes Mathematicae Universitatis Carolinae (1995)

- Volume: 36, Issue: 2, page 219-237
- ISSN: 0010-2628

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topDošlá, Zuzana, and Došlý, Ondřej. "Singular quadratic functionals of one dependent variable." Commentationes Mathematicae Universitatis Carolinae 36.2 (1995): 219-237. <http://eudml.org/doc/247703>.

@article{Došlá1995,

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.},

author = {Došlá, Zuzana, Došlý, Ondřej},

journal = {Commentationes Mathematicae Universitatis Carolinae},

keywords = {quadratic functional; singular quadratic functional; periodic and antiperiodic boundary condition; conjugate point; coupled point; singularity condition; singular quadratic functionals; boundary conditions},

language = {eng},

number = {2},

pages = {219-237},

publisher = {Charles University in Prague, Faculty of Mathematics and Physics},

title = {Singular quadratic functionals of one dependent variable},

url = {http://eudml.org/doc/247703},

volume = {36},

year = {1995},

}

TY - JOUR

AU - Došlá, Zuzana

AU - Došlý, Ondřej

TI - Singular quadratic functionals of one dependent variable

JO - Commentationes Mathematicae Universitatis Carolinae

PY - 1995

PB - Charles University in Prague, Faculty of Mathematics and Physics

VL - 36

IS - 2

SP - 219

EP - 237

AB - 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.

LA - eng

KW - quadratic functional; singular quadratic functional; periodic and antiperiodic boundary condition; conjugate point; coupled point; singularity condition; singular quadratic functionals; boundary conditions

UR - http://eudml.org/doc/247703

ER -

## References

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