Some Asymptotic Estimates for the Instability Intervals of Hill's Equation

Authors: HASKIZ COŞKUN

Abstract: In this study, some asymptotic estimates for the length of the instability intervals of Hill's equation, y''(t)+(\lambda -q(t))y(t)=0, are derived by means of an auxiliary eigenvalue problem under various assumptions on the Fourier coefficients of the potential q.

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