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Reconstruction of Sturm-Liouville differential operators with singularities inside the interval

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Abstract

The inverse spectral problem for Sturm-Liouville differential operators on a finite interval is studied for an arbitrary and finite number of regular singular points inside the interval. A uniqueness theorem is proved; necessary and sufficient conditions and a procedure for the solution of the inverse problem are obtained.

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Authors and Affiliations

  1. Saratov State University, USSR

    V. A. Yurko

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  1. V. A. Yurko
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Translated fromMatematicheskie Zametki, Vol. 64, No. 1, pp. 143–156, July, 1998.

This research was supported by the Ministry of Education (KTsFE) under grant No. 96-1.7-4 and by the Russian Foundation for Basic Research under grant No. 97-01-00566.

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Yurko, V.A. Reconstruction of Sturm-Liouville differential operators with singularities inside the interval. Math Notes 64, 121–132 (1998). https://doi.org/10.1007/BF02307203

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