Electronic Journal of Differential Equations,
Vol. 2010(2010), No. 159, pp. 1-10.
Title: Representation of the norming constants by two spectra
Author: Tigran N. Harutyunyan (Yerevan State Univ., Armenia)
Abstract:
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 04, 2010.
Math Subject Classifications: 34B24, 34B05, 34B09, 34L15.
Key Words: Sturm-Liouville problem; eigenvalues; norming constants.