Inverse Sturm-Liouville problems with summable potential
Spectral Theory
2018-03-09 v1 Classical Analysis and ODEs
Abstract
We describe the necessary and sufficient conditions for two sequences {\mu_n}^\infty_n=0 and {a_n}^\infty_n=0 to be correspondingly the set of eigenvalues and the set of norming constants of a Sturm-Liouville problem with real summable potential q and in advance fixed separated boundary conditions.
Keywords
Cite
@article{arxiv.1803.03011,
title = {Inverse Sturm-Liouville problems with summable potential},
author = {Yuri Ashrafyan and Tigran Harutyunyan},
journal= {arXiv preprint arXiv:1803.03011},
year = {2018}
}
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11 pages