A regularized trace formula for second order differential operator equations

Authors

  • Kevser Koklu
  • Inci Albayrak
  • Azad Bayramov

DOI:

https://doi.org/10.7146/math.scand.a-15146

Abstract

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.

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Published

2010-09-01

Issue

Vol. 107 No. 1 (2010)

Section

Articles

How to Cite

[1]
K. Koklu, I. Albayrak, and A. Bayramov, “A regularized trace formula for second order differential operator equations”, Math. Scand., vol. 107, no. 1, pp. 123–138, Sep. 2010, doi: 10.7146/math.scand.a-15146.