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The inverse spectral problem for pencils of differential operators

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© 2007 Russian Academy of Sciences, (DoM) and London Mathematical Society, Turpion Ltd
, , Citation I M Guseinov and I M Nabiev 2007 Sb. Math. 198 1579 DOI 10.1070/SM2007v198n11ABEH003897

1064-5616/198/11/1579

Abstract

The inverse problem of spectral analysis for a quadratic pencil of Sturm-Liouville operators on a finite interval is considered. A uniqueness theorem is proved, a solution algorithm is presented, and sufficient conditions for the solubility of the inverse problem are obtained.

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10.1070/SM2007v198n11ABEH003897