Inverse problem for differential operators with boundary conditions dependent on eigenparameter
Abstract
In this paper, we give a reconstruction formula for the potential q for a second order differential equation with boundary condition which contains spectral parameter. For this as methodology, we use Prufer substitution that has an advantage different from other methods. Because in this method, we do not need any information of eigenfunctions.
Copyright © 2022 Sharmeen I. Hassan, Homan S. Haji, Hezha H. Abdulkareem, Isam N. Arab, Amad Sh. Sulaiman. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
S. I. Hassan, H. S. Haji, H. H. Abdulkareem, I. N. Arab, A. S. Sulaiman, Inverse problem for differential operators with boundary conditions dependent on eigenparameter, J. Math. Comput. Sci. 12 (2022), 200. https://doi.org/10.28919/jmcs/7686
BibTeX
@article{Hassan2022,
author = {Hassan, Sharmeen I. and Haji, Homan S. and Abdulkareem, Hezha H. and Arab, Isam N. and Sulaiman, Amad Sh.},
title = {Inverse problem for differential operators with boundary conditions dependent on eigenparameter},
journal = {J. Math. Comput. Sci.},
volume = {12},
year = {2022},
pages = {200},
doi = {10.28919/jmcs/7686}
}