On periodic boundary value problem for the Sturm-Liouville operator

Research paper by Alexander Makin

Indexed on: 18 Jan '06Published on: 18 Jan '06Published in: Mathematics - Spectral Theory


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.