On inverse problem for singular Sturm-Liouville operator from two spectra

• Datum: 2006
• Hauptverfasser: Panakhov, E. S., Yilmazer, R., Панахов, Є. С., Йилмазер, Р.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2006
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/3440
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

In the paper, an inverse problem with two given spectra for second order differential operator with singularity of type $\cfrac{2}{r} + \cfrac{l(l+1)}{r^2}$ (here, $l$ is a positive integer or zero) at zero point is studied. It is well known that two spectra $\{\lambda_n\}$ and $\{\mu_n\}$ uniquely...