Length of the Instability Intervals for Hill's Equation |
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| Authors: | Mamode Malik |
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| Institution: | (1) Laboratoire de Génie Industriel, Université de La Réunion, 15 Avenue René Cassin, BP 7151, 97715, St Denis Cedex 09, La Réunion, France |
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| Abstract: | 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 c
n. For any small ∈ it is shown that these lengths are completely characterized by the c
n's. |
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| Keywords: | Hill equation discriminant instability interval |
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