Inverse Sturm-Liouville problems with eigenvalue-dependent boundary and discontinuity conditions

Ozkan A. S.

INVERSE PROBLEMS IN SCIENCE AND ENGINEERING, cilt.20, sa.6, ss.857-868, 2012 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 20 Sayı: 6
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1080/17415977.2012.658519
  • Dergi Adı: INVERSE PROBLEMS IN SCIENCE AND ENGINEERING
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.857-868
  • Anahtar Kelimeler: Sturm-Liouville problem, eigenvalue-dependent boundary condition, discontinuity condition, SPECTRAL PARAMETER, DIFFERENTIAL-EQUATIONS, EIGENPARAMETER, COEFFICIENTS, OPERATOR, SYSTEMS
  • Sivas Cumhuriyet Üniversitesi Adresli: Evet

Özet

An impulsive boundary-value problem generated by Sturm-Liouville differential equation with the eigenvalue parameter non-linearly contained in one boundary condition and in the jump conditions is considered. It is shown that the coefficients of the problem is uniquely determined either by the Weyl function or by Prufer's angle. It is also proven that two given spectra uniquely determine the coefficients of the problem.