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arXiv · 2109.03289

Eigenvalues of the Sturm-Liouville problem with a frozen argument on time scales

Zeynep Durna·A. Sinan Ozkan
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Abstract

In this study, we consider a boundary value problem generated by the Sturm-Liouville problem with a frozen argument and with non-separated boundary conditions on a time scale. Firstly, we present some solutions and characteristic function of the problem on an arbitrary bounded time scale. Secondly, we prove some properties of eigenvalues and obtain a formulation for the eigenvalues-number on a finite time scale. Finally, we give an asymptotic formula for eigenvalues of the problem on another special time scale.

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Zeynep Durna, A. Sinan Ozkan. 2021-09-07. Eigenvalues of the Sturm-Liouville problem with a frozen argument on time scales. https://doi.org/10.31801/cfsuasmas.1036073

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