Inverse problems of spectral analysis for the Sturm-Liouville operator with regular boundary conditions
Spectral Theory
2007-05-23 v1
Abstract
We consider the Sturm-Liouville operator Lu=u''-q(x)u with regular but not strongly regular boundary conditions. Under some supplementary assumptions we prove that the set of potentials q(x) that ensure an asymptotically multiple spectrum is everywhere dense in the space of summable functions.
Keywords
Cite
@article{arxiv.math/0602584,
title = {Inverse problems of spectral analysis for the Sturm-Liouville operator with regular boundary conditions},
author = {Alexander Makin},
journal= {arXiv preprint arXiv:math/0602584},
year = {2007}
}
Comments
33 pages