The length of instability intervals is investigated for the Hill equation y′′+ω(ω− 2∈p(x)y = 0, where p(x) has an infinite Fourier series of coefficients cn. For any small ∈ it is shown that these lengths are completely characterized by the cn's.
Publié le : 2004-07-04
Classification:
Hill equation,
discriminant,
instability interval,
[MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph]
@article{hal-01171489,
author = {Mamode, Malik},
title = {Length of the Instability Intervals for Hill's Equation},
journal = {HAL},
volume = {2004},
number = {0},
year = {2004},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-01171489}
}
Mamode, Malik. Length of the Instability Intervals for Hill's Equation. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-01171489/