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On asymptotic eigenvalue distribution and trace formula of second order operator-differential equation

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Published/Copyright: May 31, 2011
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Advances in Pure and Applied Mathematics
From the journal Volume 2 Issue 2

Abstract

The asymptotic eigenvalue distribution of Sturm–Liouville problem with operator coefficient and eigenvalue dependent boundary condition and with singularity on finite segment is studied. Also formula of the regularized trace of respective operator is obtained.

Received: 2009-06-06
Revised: 2011-01-12
Published Online: 2011-05-31
Published in Print: 2011-May

© de Gruyter 2011

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