Geodesic
Necessary and sufficient conditions for the solvability of the inverse problem for Sturm--Liouville operators with a~nonintegrable singularity inside a~finite interval
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 13 (2013) no. 3, pp. 59-64

Voir la notice de l'article provenant de la source Math-Net.Ru

The inverse spectral problem of recovering Sturm–Liouville operators on a finite interval with a nonintegrable Bessel-type singularity in an interior point from the given spectral data is studied. A corresponding uniqueness theorem is proved, a constructive procedure for the solution of the inverse problem is provided. Necessary and sufficient conditions for the solvability of the inverse problem are obtained. 
@article{ISU_2013_13_3_a7,
     author = {A. E. Fedoseev},
     title = {Necessary and sufficient conditions for the solvability of the inverse problem for {Sturm--Liouville} operators with a~nonintegrable singularity inside a~finite interval},
     journal = {Izvestiya of Saratov University. Mathematics. Mechanics. Informatics},
     pages = {59--64},
     publisher = {mathdoc},
     volume = {13},
     number = {3},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ISU_2013_13_3_a7/}
}
TY  - JOUR
AU  - A. E. Fedoseev
TI  - Necessary and sufficient conditions for the solvability of the inverse problem for Sturm--Liouville operators with a~nonintegrable singularity inside a~finite interval
JO  - Izvestiya of Saratov University. Mathematics. Mechanics. Informatics
PY  - 2013
SP  - 59
EP  - 64
VL  - 13
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ISU_2013_13_3_a7/
LA  - ru
ID  - ISU_2013_13_3_a7
ER  - 
%0 Journal Article
%A A. E. Fedoseev
%T Necessary and sufficient conditions for the solvability of the inverse problem for Sturm--Liouville operators with a~nonintegrable singularity inside a~finite interval
%J Izvestiya of Saratov University. Mathematics. Mechanics. Informatics
%D 2013
%P 59-64
%V 13
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ISU_2013_13_3_a7/
%G ru
%F ISU_2013_13_3_a7
A. E. Fedoseev. Necessary and sufficient conditions for the solvability of the inverse problem for Sturm--Liouville operators with a~nonintegrable singularity inside a~finite interval. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 13 (2013) no. 3, pp. 59-64. http://geodesic.mathdoc.fr/item/ISU_2013_13_3_a7/