Inverse Sturm-Liouville problems with fixed boundary conditions

Tigran Harutyunyan; Yuri Ashrafyan

Inverse Sturm-Liouville problems with fixed boundary conditions

Spectral Theory 2016-08-17 v1 Classical Analysis and ODEs

Authors: Tigran Harutyunyan , Yuri Ashrafyan

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.

Keywords

sturm-liouville operators

Cite

@article{arxiv.1608.04512,
  title  = {Inverse Sturm-Liouville problems with fixed boundary conditions},
  author = {Tigran Harutyunyan and Yuri Ashrafyan},
  journal= {arXiv preprint arXiv:1608.04512},
  year   = {2016}
}

Comments

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

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