An inverse problem for differential operator pencils

V. A. Yurko

Sbornik. Mathematics, Tome 191 (2000) no. 10, pp. 1561-1586

Résumé

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.

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