On periodic boundary value problem for the Sturm-Liouville operator
Spectral Theory
2015-06-26 v1 Functional Analysis
Abstract
We consider the Sturm-Liouville operator Lu=u''-q(x)u with periodic or antiperiodic boundary conditions. It is shown that depending of Fourier coefficients of the potential q(x) the system of root functions may have or may not have the basis property.
Keywords
Cite
@article{arxiv.math/0601436,
title = {On periodic boundary value problem for the Sturm-Liouville operator},
author = {Alexander Makin},
journal= {arXiv preprint arXiv:math/0601436},
year = {2015}
}
Comments
Published in Proceedings of the International Conference "Function Spaces, Approximation Theory, Nonlinear Analysis", Moscow, Russia, May 23-29, 2005, p. 148