Tigran N. Harutyunyan
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
,
,
when
and
.
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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