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.