On the Bloch eigenvalues and spectrum of the differential operators of odd order

O. A. Veliev

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arXiv · 2307.14037

On the Bloch eigenvalues and spectrum of the differential operators of odd order

O. A. Veliev

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Abstract

In this paper we consider the Bloch eigenvalues and spectrum of the non-self-adjoint differential operator L generated by the differential expression of odd order n with the periodic PT-symmetric coefficients, where n>1. We study the localizations of the Bloch eigenvalues and the structure of the spectrum. Moreover, we find conditions on the norm of the coefficients under which the spectrum of L coincides with the real line

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O. A. Veliev. 2023-07-26. On the Bloch eigenvalues and spectrum of the differential operators of odd order. https://arxiv.org/abs/2307.14037

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