On recovering quadratic pencils with singular coefficients and entire functions in the boundary conditions

Maria Kuznetsova

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arXiv · 2111.05831

On recovering quadratic pencils with singular coefficients and entire functions in the boundary conditions

Maria Kuznetsova

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Abstract

In the paper, we study an inverse spectral problem for quadratic pencils of the Sturm--Liouville operators with singular coefficients and entire functions in the boundary conditions. We prove that a subspectrum is sufficient for recovering the pencil if this subspectrum generates a complete functional system. As well, we obtain an algorithm solving the inverse problem and alternative conditions on the subspectrum. Finally, these results are applied to studying a partial inverse problem.

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BibTeX RIS

Maria Kuznetsova. 2021-11-10. On recovering quadratic pencils with singular coefficients and entire functions in the boundary conditions. https://arxiv.org/abs/2111.05831

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