The second regularized trace of a self adjoint differential operator given in a finite interval with bounded operator coefficient


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Adiguzelov E., Sezer Y.

MATHEMATICAL AND COMPUTER MODELLING, vol.53, pp.553-565, 2011 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 53
  • Publication Date: 2011
  • Doi Number: 10.1016/j.mcm.2010.08.021
  • Journal Name: MATHEMATICAL AND COMPUTER MODELLING
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.553-565
  • Keywords: Hilbert space, Eigenvalue, Spectrum, Resolvent, Kernel operator, Regularized trace
  • Yıldız Technical University Affiliated: Yes

Abstract

In this work a formula for the second regularized trace of a self adjoint differential operator which is given in a finite interval and with bounded operator coefficient was found. Crown Copyright (C) 2010 Published by Elsevier Ltd. All rights reserved.