Reconstruction of the Volterra-type integro-differential operator from nodal points

Creative Commons License

KESKİN B.

BOUNDARY VALUE PROBLEMS, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1186/s13661-018-0968-0
  • Dergi Adı: BOUNDARY VALUE PROBLEMS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: Sturm-Liouville equation, Inverse nodal problem, Integro-differential equation, INVERSE SPECTRAL PROBLEM, STURM-LIOUVILLE OPERATOR, BOUNDARY-CONDITIONS, EIGENPARAMETER, PERTURBATION
  • Sivas Cumhuriyet Üniversitesi Adresli: Evet

Özet

In this work, the Sturm-Liouville problem perturbated by a Volterra-type integro-differential operator is studied. We give a uniqueness theorem and an algorithm to reconstruct the potential of the problem from nodal points (zeros of eigenfunctions).