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2021•Turkish Journal of Mathematics and Computer ScienceOpen access

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

Elif Başkaya

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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.

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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.

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OpenAlex reports 5 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available 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.

Key concepts: Sturm–Liouville theory, Eigenvalues and eigenvectors, Mathematics, Interval (graph theory), Boundary value problem, Mathematical analysis, Boundary (topology), Midpoint

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