@Article{cmes.2012.084.001,
AUTHOR = {Etibar S.  Panakhov, Murat  Sat},
TITLE = {On the Determination of the Singular Sturm-Liouville Operator from Two Spectra},
JOURNAL = {Computer Modeling in Engineering \& Sciences},
VOLUME = {84},
YEAR = {2012},
NUMBER = {1},
PAGES = {1--12},
URL = {http://www.techscience.com/CMES/v84n1/25806},
ISSN = {1526-1506},
ABSTRACT = {In this paper an inverse problem by two given spectrum for a second-order differential operator with coulomb singularity of the type A/x in zero point ( here A is constant), is studied. It is well known that two spectrum {<i>λ<sub>n</sub></i>} and {<i>µ<sub>n</sub></i>} uniquely determine the potential function <i>q(x)</i> in the singular Sturm-Liouville equation defined on interval (0,π]. The aim of this paper is to prove the generalized degeneracy of the kernel <i>K(x,t)</i> . In particular, we obtain a new proof of the Hochstadt's theorem concerning the structure of the difference q<sup style="margin-left:-6px">~</sup>(x) - q(x).},
DOI = {10.3970/cmes.2012.084.001}
}