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http://dx.doi.org/10.5666/KMJ.2010.50.1.015

Spectral Analysis of Four Term Differential Operator  

Oluoch, Nyamwala Fredrick (Fachbereich Mathematik/Informatik, Universitat Osnabruck)
Publication Information
Kyungpook Mathematical Journal / v.50, no.1, 2010 , pp. 15-35 More about this Journal
Abstract
By strengthening dichotomy condition and weakening decay conditions, we show that a four term 2n-th order differential operator with unbounded coefficients is nonlimit-point. Using stringent conditions we show that the deficiency index of this operator is determined by the behaviour of the coefficients themselves. Similarly, we prove the absence of singular continuous spectrum and that the absolutely continuous spectrum has multiplicity two.
Keywords
differential operators; deficiency indices; absolutely continuous; spectrum; eigenvalues;
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