A REGULARIZED TRACE FORMULA FOR SECOND ORDER DIFFERENTIAL OPERATOR EQUATIONS


KÖKLÜ K. , Albayrak I., Bayramov A.

MATHEMATICA SCANDINAVICA, cilt.107, ss.123-138, 2010 (SCI İndekslerine Giren Dergi)

  • Cilt numarası: 107 Konu: 1
  • Basım Tarihi: 2010
  • Doi Numarası: 10.7146/math.scand.a-15146
  • Dergi Adı: MATHEMATICA SCANDINAVICA
  • Sayfa Sayısı: ss.123-138

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.