Uniqueness Theorems for Sturm-Liouville Operator with Parameter Dependent Boundary Conditions and Finite Number Of Transmission Conditions

Yıl 2017, Cilt: 38 Sayı: 3, 535 - 543, 30.09.2017

Yaşar Çakmak Baki Keskin

https://doi.org/10.17776/csj.340505

Cited By: 2

Öz

In this paper, we prove some uniqueness theorems for
the solution of inverse spectral problems of Sturm–Liouville operators with
boundary conditions depending linearly on the spectral parameter and with a
finite number of transmission conditions.

Anahtar Kelimeler

Inverse problem, Sturm-Liouville operator, Weyl function, Prüfer Angle

Sonlu Sayıda Süreksizlik Koşullarına Sahip ve Sınır Koşulları Parametreye Bağlı Sturm-Liouville Problemi için Teklik Teoremleri

Öz

Bu makalede, sonlu sayıda süreksizlik koşullarına sahip
ve sınır koşulları spektral parametreye lineer şekilde bağlı Sturm–Liouville
operatörlerin ters spektral problemlerinin çözümü için bazı teklik teoremleri
ispatlayacağız.

Anahtar Kelimeler

Ters problem, Sturm-Liouville operatör, Weyl fonksiyonu, Prüfer Açısı

Kaynakça

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