Estimates of the stability intervals for Hill’s equation
Estimates of the stability intervals for Hill’s equation
The purpose of this note is to state and prove the following theorem.Theorem.Consider the Hill's equation (1) y" +[a + q(t)]y = 0, where q(t+ir) =q(t), and q(t) is bounded.Let X, denote the ith eigenvalue corresponding to which a solution of (1) has period t, and X' those corresponding to …