Inverse nodal problems for Sturm-Liouville equation with eigenparameter-dependent boundary and jump conditions

Ozkan A. S., KESKİN B.

INVERSE PROBLEMS IN SCIENCE AND ENGINEERING, cilt.23, sa.8, ss.1306-1312, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 23 Sayı: 8
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1080/17415977.2014.991730
  • Dergi Adı: INVERSE PROBLEMS IN SCIENCE AND ENGINEERING
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1306-1312
  • Anahtar Kelimeler: Sturm-Liouville equation, inverse nodal problem, parameter dependent boundary condition, discontinuity condition, SPECTRAL PROBLEMS, OPERATOR
  • Sivas Cumhuriyet Üniversitesi Adresli: Evet

Özet

In this work, the Sturm-Liouville problem with boundary and jump conditions dependent on the spectral parameter linearly is studied. We show that all coefficients of the problem can be uniquely determined by nodal points. Moreover, we give an algorithm for reconstruction of the potential function and the coefficient in the jump conditions.