Geodesic
An inverse problem for differential operator pencils
Sbornik. Mathematics, Tome 191 (2000) no. 10, pp. 1561-1586

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

An inverse spectral problem of recovering a second-order differential operator pencil on the half-line is investigated. A uniqueness theorem is proved; necessary and sufficient conditions for the solubility, and an algorithm for the solution of the inverse problem are obtained. Relations with inverse problems for partial differential equations are pointed out. 
@article{SM_2000_191_10_a8,
     author = {V. A. Yurko},
     title = {An inverse problem for differential operator pencils},
     journal = {Sbornik. Mathematics},
     pages = {1561--1586},
     publisher = {mathdoc},
     volume = {191},
     number = {10},
     year = {2000},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2000_191_10_a8/}
}
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V. A. Yurko. An inverse problem for differential operator pencils. Sbornik. Mathematics, Tome 191 (2000) no. 10, pp. 1561-1586. http://geodesic.mathdoc.fr/item/SM_2000_191_10_a8/