Abstract
In this paper, we are concerned with an inverse problem for the Sturm-Liouville operator with Coulomb potential using a new kind of spectral data that is known as nodal points. We give a reconstruction of q as a limit of a sequence of functions whose n th term is dependent only on eigenvalue and its associated nodal data. It is mentioned that this method is based on the works of Law and Yang, but we have applied the method to the singular Sturm-Liouville problem. MSC:34L05, 45C05.
Highlights
1 Introduction Inverse problems of spectral analysis imply the reconstruction of a linear operator from some or other of its spectral characteristics
Inverse problems are studied for certain special classes of ordinary differential operators
We note that the details of the inverse problem for singular equations are given in the monographs [ – ] and references therein
Summary
Inverse problems of spectral analysis imply the reconstruction of a linear operator from some or other of its spectral characteristics. An effective method of constructing a regular and singular Sturm-Liouville operator from a spectral function or from two spectra is given in [ – ]. We note that the details of the inverse problem for singular equations are given in the monographs [ – ] and references therein. Inverse nodal problems have been studied by several authors [ – ] etc.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
