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Spectral Analysis of Four Term Differential Operator

Nyamwala Fredrick Oluoch
경북대학교 자연과학대학 수학과|2010.03|Kyungpook Mathematical Journal|제50권 제1호|pp. 15-35

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참고문헌

키워드

eigenvaluesdifferential operatorsdeficiency indicesabsolutely continuous spectrum
주제분류수학

초록

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.

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.

참고문헌 (18)

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