Inverse Sturm-Liouville problems with fixed boundary conditions

Abstract

Necessary and sufficient conditions for two sequences $\{{\mu }_n{\}}_{n=0}^{\infty }$ and $\{a_n{\}}_{n=0}^{\infty }$ to be the spectral data for a certain Sturm-Liouville problem are well known. We add two more conditions so that the same two sequences become necessary and sufficient for being the spectral data for a Sturm-Liouville problem with fixed boundary conditions.

8 pages. Original text published in Electronic Journal of Differential Equations Vol. 2015 (2015), No. 27, pp. 1-8, ISSN: 1072-6691