Spectral problems for Sturm-Liouville operator with boundary and jump conditions linearly dependent on the eigenparameter

Ozkan A. S., Keskin B.

INVERSE PROBLEMS IN SCIENCE AND ENGINEERING, cilt.20, sa.6, ss.799-808, 2012 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 20 Sayı: 6
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1080/17415977.2011.652957
  • Dergi Adı: INVERSE PROBLEMS IN SCIENCE AND ENGINEERING
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.799-808
  • Anahtar Kelimeler: inverse problem, Sturm-Liouville operator, Weyl function, jump conditions, eigenparameter dependent-boundary conditions, EIGENVALUE PARAMETER, EQUATIONS
  • Sivas Cumhuriyet Üniversitesi Adresli: Evet

Özet

In this study, a boundary-value problem is considered, which is generated by Sturm-Liouville differential equation, parameter-dependent boundary conditions and discontinuity (or jump) conditions. The properties of the eigenvalues of this problem are investigated. Uniqueness theorems for the solution of inverse problem according to the Weyl function and spectral data are proven.