The inverse spectral problem for pencils

I. M. Guseinov   ; I. M. Nabiev

Sbornik. Mathematics, Tome 198 (2007) no. 11, pp. 1579-1598

Résumé

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. Bibliography: 31 titles.

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