An inverse Sturm-Liouville problem with a generalized symmetric potential
Date
2017-02-07
Authors
Eskitascioglu, Esin Inan
Acil, Mehmet
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
We consider the normal form of Sturm-Liouville differential equations with separable boundary conditions. For this problem we know that the potential function is determined uniquely by two spectra and that if the potential is symmetric, then it is determined uniquely by just one spectrum. In this paper firstly we generalize symmetric potential and then investigate change of needed data to determine potential function uniquely.
Description
Keywords
Boundary value and inverse problems, Sturm-Liouville theory, Numerical approximation of eigenvalues
Citation
Eskitaşçioğlu, E. I., & Açil, M. (2017). An inverse Sturm-Liouville problem with a generalized symmetric potential. <i>Electronic Journal of Differential Equations, 2017</i>(41), pp. 1-7.
Rights
Attribution 4.0 International