INVERSE PROBLEMS FOR THE STURM-LIOUVILLE EQUATION WITH THE DISCONTINUOUS COEFFICIENT

Nabiev A. A., GÜRDAL M., SALTAN S.

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, cilt.7, sa.2, ss.559-580, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 7 Sayı: 2
  • Basım Tarihi: 2017
  • Doi Numarası: 10.11948/2017035
  • Dergi Adı: JOURNAL OF APPLIED ANALYSIS AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.559-580
  • Sivas Cumhuriyet Üniversitesi Adresli: Evet

Özet

In this study we derive the Gelfand-Levitan-Marchenko type main integral equation of the inverse problem for the boundary value problem L and prove the uniquely solvability of the main integral equation. Further, we give the solution of the inverse problem by the spectral data and by two spectrum.