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.532-538
In this paper, the length between Dirichlet and the semi-periodic eigenvalues is estimated for
Hill’s equation with continuous and periodic potential. The potential is also symmetric to the
midpoint and nonincreasing on the first half of the related interval. This function is known as
symmetric single well potential in quantum mechanics.