IJPAM: Volume 80, No. 2 (2012)

INVERSE NODAL PROBLEM FOR STURM-LIOUVILLE
OPERATORS WITH COULOMB POTENTIAL

M. Sat$^1$, E.S. Panakhov$^2$
$^1$Department of Mathematics
Faculty of Science and Art
Erzincan University
Erzincan, 24100, TURKEY
$^2$Department of Mathematics
Faculty of Science
Firat University
Elazig, 23119, TURKEY


Abstract. Inverse nodal problems consist in constructing operators from the given nodes (zeros) of their eigenfunctions. In this study, we have estimated nodal points and nodal lengths for the Sturm-Liouville operators with Coulomb potential. Furthermore, by using nodal points (zeros of eigenfunctions), we have shown that the potential function of the Sturm-Liouville operators with Coulomb potential can be established uniquely.

Received: May 5, 2012

AMS Subject Classification: 34A55, 34L05, 45C05

Key Words and Phrases: Coulomb potential, nodal point, eigenvalue

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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2012
Volume: 80
Issue: 2