A partial inverse problem for non-self-adjoint Sturm-Liouville operators with a constant delay

Wang Y. P., KESKİN B., Shieh C.

Journal of Inverse and Ill-Posed Problems, cilt.31, sa.4, ss.479-486, 2023 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 31 Sayı: 4
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1515/jiip-2020-0058
  • Dergi Adı: Journal of Inverse and Ill-Posed Problems
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, INSPEC, MathSciNet, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.479-486
  • Anahtar Kelimeler: Inverse problem, non-self-adjoint Sturm-Liouville operators, constant delay, potential, eigenvalue
  • Sivas Cumhuriyet Üniversitesi Adresli: Evet

Özet

In this paper we study a partial inverse spectral problem for non-self-adjoint Sturm-Liouville operators with a constant delay and show that subspectra of two boundary value problems with one common boundary condition are sufficient to determine the complex potential. We developed the Horváth's method in [M. Horváth, On the inverse spectral theory of Schrödinger and Dirac operators, Trans. Amer. Math. Soc. 353 2001, 10, 4155-4171] for the self-adjoint Sturm-Liouville operator without delay into the non-self-adjoint Sturm-Liouville differential operator with a constant delay.