Geodesic
The inverse spectral problem for pencils
Sbornik. Mathematics, Tome 198 (2007) no. 11, pp. 1579-1598

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{SM_2007_198_11_a2,
     author = {I. M. Guseinov and I. M. Nabiev},
     title = {The inverse spectral problem for pencils},
     journal = {Sbornik. Mathematics},
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     year = {2007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2007_198_11_a2/}
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I. M. Guseinov; I. M. Nabiev. The inverse spectral problem for pencils. Sbornik. Mathematics, Tome 198 (2007) no. 11, pp. 1579-1598. http://geodesic.mathdoc.fr/item/SM_2007_198_11_a2/