Representation of the norming constants by two spectra
Electronic journal of differential equations, Tome 2010 (2010)
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.
Classification :
34B24, 34B05, 34B09, 34L15
Keywords: Sturm-Liouville problem, eigenvalues, norming constants
Keywords: Sturm-Liouville problem, eigenvalues, norming constants
@article{EJDE_2010__2010__a76,
author = {Harutyunyan, Tigran N.},
title = {Representation of the norming constants by two spectra},
journal = {Electronic journal of differential equations},
year = {2010},
volume = {2010},
zbl = {1222.34030},
language = {en},
url = {http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a76/}
}
Harutyunyan, Tigran N. Representation of the norming constants by two spectra. Electronic journal of differential equations, Tome 2010 (2010). http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a76/