2018New Trends in Mathematical ScienceOpen access

Asymptotics of eigenvalues for Sturm-Liouville problem with eigenparameter-dependent boundary conditions

Elif Başkaya

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Abstract

In this paper, we obtain asymptotic estimates of eigenvalues for regular Sturm-Liouville problems having the eigenvalue parameter in all boundary conditions with the potential that is continuous and its differentiation exists and is integrable.

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What this paper is about

In this paper, we obtain asymptotic estimates of eigenvalues for regular Sturm-Liouville problems having the eigenvalue parameter in all boundary conditions with the potential that is continuous and its differentiation exists and is integrable.

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OpenAlex reports 6 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

In this paper, we obtain asymptotic estimates of eigenvalues for regular Sturm-Liouville problems having the eigenvalue parameter in all boundary conditions with the potential that is continuous and its differentiation exists and is integrable.

Key concepts: Sturm–Liouville theory, Eigenvalues and eigenvectors, Boundary value problem, Mathematics, Mathematical analysis, Applied mathematics, Physics, Quantum mechanics

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