On the solution of an inverse problem
In the Sturm-Liouville boundary value problem the Dirichlet boundary condition at the point zero has not yet been studied in sufficient details. In this paper the author gives the necessary and sufficient conditions for two sequences { μ n } n = 0 ∞ and { a n } n = 0 ∞ to be correspondingly the eige...
Gespeichert in:
| Veröffentlicht in: | Journal of mathematical sciences (New York, N.Y.) N.Y.), 2023-04, Vol.271 (5), p.625-636 |
|---|---|
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Zusammenfassung: | In the Sturm-Liouville boundary value problem the Dirichlet boundary condition at the point zero has not yet been studied in sufficient details. In this paper the author gives the necessary and sufficient conditions for two sequences
{
μ
n
}
n
=
0
∞
and
{
a
n
}
n
=
0
∞
to be correspondingly the eigenvalues and norming constants of the Sturm-Liouville problem with Dirichlet condition at zero. In particular, the constructive solution of inverse problem is given. |
|---|---|
| ISSN: | 1072-3374 1573-8795 |
| DOI: | 10.1007/s10958-023-06425-x |