Asymptotic Eigenvalues of Regular Sturm-Liouville Problems with Spectral Parameter-Dependent Boundary Conditions and Symmetric Single Well Potential

Abstract

In this study, we find asymptotic estimates of eigenvalues for regular Sturm-Liouville problems having the eigenvalue parameter in all boundary conditions with the symmetric single well potential that is symmetric to the midpoint of the related interval and nonincreasing on the first semi-region of the related interval.

Keywords

• Sturm-Liouville problem
• symmetric single well potential
• eigenvalue parameter in the boundary conditions

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