4 th INTERNATIONAL CONFERENCE ON MATHEMATICS “An Istanbul Meeting for World Mathematicians” 27-30 October 2020, Istanbul, Turkey This conference is dedicated to 67th birthday of Prof. M. Mursaleen, 27 - 30 Ekim 2020, ss.138
A symmetric double well potential on [0,a] is defined as symmetric with respect to midpoint
a/2 and quarter point a/4 and 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.