Esin Inan Eskitascioglu, Mehmet Acil
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.
Submitted December 22, 2016. Published February 7, 2017.
Math Subject Classifications: 31A25, 34B24, 34L16.
Key Words: Boundary value and inverse problems; Sturm-Liouville theory;
numerical approximation of eigenvalues.
Show me the PDF file (199 KB), TEX file for this article.
Esin Inan Eskitascioglu Department of Mathematics Faculty of Sciences, Yuzuncu Yil University 65080, Van, Turkey email: inancinar@mynet.com | |
Mehmet Acil Department of Mathematics Faculty of Sciences, Yuzuncu Yil University 65080, Van, Turkey email: mehmetacil76@gmail.com |
Return to the EJDE web page