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-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 17
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1007/s11040-014-9166-1
  • Dergi Adı: MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.483-491
  • Anahtar Kelimeler: Sturm-Liouville problem, Eigenvalue dependent boundary condition, Discontinuous condition, INVERSE SPECTRAL PROBLEM, DIFFERENTIAL-EQUATIONS, PARAMETER, EIGENPARAMETER, COEFFICIENTS, OPERATORS
  • Sivas Cumhuriyet Üniversitesi Adresli: Evet

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.