A REGULARIZED TRACE FORMULA FOR SECOND ORDER DIFFERENTIAL OPERATOR EQUATIONS

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KÖKLÜ K., Albayrak I., Bayramov A.

MATHEMATICA SCANDINAVICA, cilt.107, sa.1, ss.123-138, 2010 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 107 Sayı: 1
  • Basım Tarihi: 2010
  • Doi Numarası: 10.7146/math.scand.a-15146
  • Dergi Adı: MATHEMATICA SCANDINAVICA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.123-138
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

In this paper, we deal with abstract Sturm-Liouville problems when the potential of the differential equation is an operator function in a Hilbert space H. We generalize trace formula obtained by [7], [9] for the classic regular Sturm-Liouville problems. We investigate the spectrum and obtained a regularized trace formula for the Sturm-Liouville operator with an operator coefficient.