Uniqueness Properties of The Solution of The Inverse Problem for The Sturm-Liouville Equation With Discontinuous Leading Coefficient

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ADİLOĞLU A., GÜRDAL M., Kinci A. N.

ANAIS DA ACADEMIA BRASILEIRA DE CIENCIAS, cilt.89, sa.4, ss.2547-2561, 2017 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 89 Sayı: 4
• Basım Tarihi: 2017
• Doi Numarası: 10.1590/0001-3765201720160075
• Dergi Adı: ANAIS DA ACADEMIA BRASILEIRA DE CIENCIAS
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Sayfa Sayıları: ss.2547-2561
• Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
• Sivas Cumhuriyet Üniversitesi Adresli: Hayır

Özet

The present paper studies uniqueness properties of the solution of the inverse problem for the Sturm-Liouville equation with discontinuous leading coefficient and the separated boundary conditions. It is proved that the considered boundary-value is uniquely reconstructed, i.e. the potential function of the equation and the constants in the boundary conditions are uniquely determined by given Weyl function or by the given spectral data.