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.
📌 3 Maddede Bu Makale
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Amaç & Hipotez: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.
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Temel Bulgular & Veri: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.
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Sonuç & Katkı: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.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Inverse spectral problem · Quadratic pencil of Sturm-Liouville operators · Eigenvalue-dependent boundary conditions
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.
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