Inverse nodal problems for Dirac-type integro-differential operators

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Keskin B., Ozkan A. S.

JOURNAL OF DIFFERENTIAL EQUATIONS, cilt.263, sa.12, ss.8838-8847, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 263 Sayı: 12
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1016/j.jde.2017.08.068
  • Dergi Adı: JOURNAL OF DIFFERENTIAL EQUATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.8838-8847
  • Anahtar Kelimeler: Dirac operator, Integral-differential operators, Inverse nodal problem, Uniqueness theorem, Spectral problems, SPECTRAL PROBLEM, EQUATIONS
  • Sivas Cumhuriyet Üniversitesi Adresli: Evet

Özet

The inverse nodal problem for Dirac differential operator perturbated by a Volterra integral operator is studied. We prove that dense subset of the nodal points determines the coefficients of differential part and gives partial information on the coefficients of integral part of the operator. We also provide an algorithm to reconstruct the coefficients of the problem by using the nodal points. (C) 2017 Elsevier Inc. All rights reserved.