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

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Hacettepe Journal of Mathematics and Statistics
Volume:42 Issue:4
Half-Inverse Spectral Problem for Differential Pencils with Interaction-Point and Eigenvalue-Depende...

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

Authors : Manaf Dzh MANAFOV

Pages : 339-345

View : 53 | Download : 9

Publication Date : 2013-04-01

Article Type : Research Paper

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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