Geodesic
Inverse problem for Sturm--Liouville operator on the half-line having nonintegrable singularity in an interior point
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 12 (2012) no. 4, pp. 49-55

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

The inverse problem of recovering Sturm–Liouville operators on the half-line with a nonintegrable Bessel-type singularity in an interior point from the given Weyl function is studied. The corresponding uniqueness theorem is proved, a constructive procedure for the solution of the inverse problem is provided. Necessary and sufficient conditions of the solvability of the inverse problem are obtained. 
@article{ISU_2012_12_4_a8,
     author = {A. E. Fedoseev},
     title = {Inverse problem for {Sturm--Liouville} operator on the half-line having nonintegrable singularity in an interior point},
     journal = {Izvestiya of Saratov University. Mathematics. Mechanics. Informatics},
     pages = {49--55},
     publisher = {mathdoc},
     volume = {12},
     number = {4},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ISU_2012_12_4_a8/}
}
TY  - JOUR
AU  - A. E. Fedoseev
TI  - Inverse problem for Sturm--Liouville operator on the half-line having nonintegrable singularity in an interior point
JO  - Izvestiya of Saratov University. Mathematics. Mechanics. Informatics
PY  - 2012
SP  - 49
EP  - 55
VL  - 12
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ISU_2012_12_4_a8/
LA  - ru
ID  - ISU_2012_12_4_a8
ER  - 
%0 Journal Article
%A A. E. Fedoseev
%T Inverse problem for Sturm--Liouville operator on the half-line having nonintegrable singularity in an interior point
%J Izvestiya of Saratov University. Mathematics. Mechanics. Informatics
%D 2012
%P 49-55
%V 12
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ISU_2012_12_4_a8/
%G ru
%F ISU_2012_12_4_a8
A. E. Fedoseev. Inverse problem for Sturm--Liouville operator on the half-line having nonintegrable singularity in an interior point. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 12 (2012) no. 4, pp. 49-55. http://geodesic.mathdoc.fr/item/ISU_2012_12_4_a8/