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

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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 
@article{CMUC_1995__36_2_a1,
     author = {Do\v{s}l\'a, Zuzana and Do\v{s}l\'y, Ond\v{r}ej},
     title = {Singular quadratic functionals of one dependent variable},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {219--237},
     publisher = {mathdoc},
     volume = {36},
     number = {2},
     year = {1995},
     mrnumber = {1357523},
     zbl = {0838.34036},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_1995__36_2_a1/}
}
TY  - JOUR
AU  - Došlá, Zuzana
AU  - Došlý, Ondřej
TI  - Singular quadratic functionals of one dependent variable
JO  - Commentationes Mathematicae Universitatis Carolinae
PY  - 1995
SP  - 219
EP  - 237
VL  - 36
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CMUC_1995__36_2_a1/
LA  - en
ID  - CMUC_1995__36_2_a1
ER  - 
%0 Journal Article
%A Došlá, Zuzana
%A Došlý, Ondřej
%T Singular quadratic functionals of one dependent variable
%J Commentationes Mathematicae Universitatis Carolinae
%D 1995
%P 219-237
%V 36
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CMUC_1995__36_2_a1/
%G en
%F CMUC_1995__36_2_a1
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/