periodic and semiperiodic boundary conditions
On the asymptotics of Fourier coefficients for the potential in Hill's equation
Relations between the asymptotics of Fourier coefficients for the potential function \(q\) in Hill's equation \(y''+(\lambda -q(t))y=0\) and the length of the instability intervals given by the eigenvalues of certain eigenvalues problems for Hill's equation are studied.
scientific article