Discontinuous Sturm-Liouville Problems with Eigenvalue Dependent Boundary Condition


Amirov R. , Ozkan A. S.

MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY, cilt.17, ss.483-491, 2014 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 17
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1007/s11040-014-9166-1
  • Dergi Adı: MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY
  • Sayfa Sayıları: ss.483-491

Özet

In this study, an inverse problem for Sturm-Liouville differential operators with discontinuities is studied when an eigenparameter appears not only in the differential equation but it also appears in the boundary condition. Uniqueness theorems of inverse problems according to the Prufer angle, the Weyl function and two different eigenvalues sets are proved.