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

Adiguzelov, Ehliman; Sezer, Yonca

doi:10.1016/j.mcm.2010.08.021

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)

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.