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, ss.799-808, 2012 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 20 Konu: 6
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1080/17415977.2011.652957
  • Dergi Adı: INVERSE PROBLEMS IN SCIENCE AND ENGINEERING
  • Sayfa Sayıları: ss.799-808

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.