Electron. J. Diff. Equ., Vol. 2015 (2015), No. 27, pp. 1-8.

Inverse Sturm-Liouville problems with fixed boundary conditions

Yuri A. Ashrafyan, Tigran N. Harutyunyan

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.

Submitted December 17, 2014. Published January 28, 2015.
Math Subject Classifications: 34B24, 34L20.
Key Words: Inverse Sturm-Liouville problem; eigenvalues; norming constants.

Show me the PDF file (209 KB), TEX file, and other files for this article.

Yuri A. Ashrafyan
Yerevan State University, Armenia
email: yuriashrafyan@ysu.am
Tigran N. Harutyunyan
Yerevan State University, Armenia
email: hartigr@yahoo.co.uk

Return to the EJDE web page