On the gaps of Neumann eigenvalues for Hill's equation with symmetric double well potential

E. Başkaya

A symmetric double well potential on [0,a] is defined as symmetric with respect to midpoint a/2 and quarter point a/4, also nonincreasing on [0, a/4]. In this study, some gaps between eigenvalues are minimized and maximized for Hill's equation with Neumann boundary conditions when the potential is symmetric double well. 

Tbilisi Mathematical Journal, Special Issue (8 - 2021), pp. 139-145