Spectral Analysis of Four Term Differential Operator

• Journal title : Kyungpook mathematical journal
• Volume 50, Issue 1,  2010, pp.15-35
• Publisher : Department of Mathematics, Kyungpook National University
• DOI : 10.5666/KMJ.2010.50.1.015
Title & Authors
Spectral Analysis of Four Term Differential Operator
Oluoch, Nyamwala Fredrick;

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;
Language
English
Cited by
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