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An Inverse Three Spectra Problem for Parameter-Dependent and Jumps Conformable Sturm–Liouville Operators

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Abstract

In this manuscript, we study the parameter-dependent conformable Sturm–Liouville problem (PDCSLP) in which its transmission conditions are arbitrary finite numbers at an interior point in \([0,\pi ]\). Also, we prove the uniqueness theorems for inverse second order of conformable differential operators by applying three spectra with jumps and eigen-parameter-dependent boundary conditions. To this end, we investigate the PDCSLP in three intervals \([0,\pi ]\), [0, p], and \([p,\pi ]\) where \(p\in (0,\pi )\) is an interior point.

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Acknowledgements

The author would like to express their sincere thanks to Asghar Rahimi for his valuable comments and anonymous reading of the original manuscript. The author is thankful to the referees for their valuable comments.

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  1. Department of Mathematics, Faculty of Science, University of Maragheh, Box 55136-553, Maragheh, Iran

    Mohammad Shahriari

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  1. Mohammad Shahriari
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Communicated by Anton Abdulbasah Kamil.

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Shahriari, M. An Inverse Three Spectra Problem for Parameter-Dependent and Jumps Conformable Sturm–Liouville Operators. Bull. Malays. Math. Sci. Soc. 47, 25 (2024). https://doi.org/10.1007/s40840-023-01610-2

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  • DOI: https://doi.org/10.1007/s40840-023-01610-2

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