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

In this study, some asymptotic estimates for the length of the instability intervals of Hill's equation, y''(t)+(l -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.

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

In this study, some asymptotic estimates for the length of the instability intervals of Hill's equation, y''(t)+(l -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.