Half-Inverse Spectral Problem for Differential Pencils with Interaction-Point and Eigenvalue-Dependent Boundary Conditions

Year 2013, Volume: 42 Issue: 4, 339 - 345, 01.04.2013

Manaf Dzh. Manafov

Abstract

The inverse spectral problem of recovering for a quadratic pencil ofSturm-Liouville operators with the interaction point and the eigenvalueparameter linearly contained in the boundary conditions are studied.The uniqueness theorem for the solution of the inverse problem according to the Weyl function is proved and a constructive procedure forfinding its solution is obtained.

Keywords

Inverse spectral problem, Quadratic pencil of Sturm-Liouville operators, Eigenvalue-dependent boundary conditions, Interaction point, 2000 AMS Classification: 34A55; 34B24; 47E05

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