9th International Congress on Fundamental and Applied Sciences, İstanbul, Turkey, 28 - 30 June 2022, pp.150
In this paper, we obtain asymptotic estimates of eigenvalues for regular Sturm-Liouville problems having the quadratic eigenvalue parameter in the boundary condition. The potential of the problem is symmetric double well potential that continuous, symmetric about to the midpoint and also quarter point of the interval and non-increasing on the quarter related interval.