On impulsive Sturm-Liouville operators with singularity and spectral parameter in boundary conditions

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Guldu Y., Amirov R. K., Topsakal N.

UKRAINIAN MATHEMATICAL JOURNAL, cilt.64, sa.12, ss.1816-1838, 2013 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 64 Sayı: 12
  • Basım Tarihi: 2013
  • Doi Numarası: 10.1007/s11253-013-0754-1
  • Dergi Adı: UKRAINIAN MATHEMATICAL JOURNAL
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1816-1838
  • Sivas Cumhuriyet Üniversitesi Adresli: Evet

Özet

We study properties and the asymptotic behavior of spectral characteristics for a class of singular Sturm-Liouville differential operators with discontinuity conditions and an eigenparameter in boundary conditions. We also determine theWeyl function for this problem and prove uniqueness theorems for a solution of the inverse problem corresponding to this function and spectral data.