Electron. J. Diff. Equ., Vol. 2010(2010), No. 159, pp. 1-10.

Representation of the norming constants by two spectra

Tigran N. Harutyunyan

The representation of the norming constants by 2 spectra was studied by Levitan, Gasymov (and others) for the Sturm-Liouville problem with boundary conditions $y(0)\cos\alpha +y'(0)\sin\alpha=0$, $y(\pi)\cos\beta+y'(\pi)\sin\beta =0$, when $\sin \alpha\neq 0$ and $\sin\beta\neq 0$. We investigate the representation by 2 spectra without these restrictions.

Submitted 14 May 2010. Published November 4, 2010.
Math Subject Classifications: 34B24, 34B05, 34B09, 34L15.
Key Words: Sturm-Liouville problem; eigenvalues; norming constants.

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Tigran N. Harutyunyan
Department of Mathematics and Mechanics of Yerevan State University
A. Manukian str.1, 0025, Yerevan, Armenia
email: hartigr@yahoo.co.uk

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