On a class of non-self-adjoint periodic eigenproblems with boundary and interior singularities
Boulton, L., Levitin, M. and Marletta , M. (2010) On a class of non-self-adjoint periodic eigenproblems with boundary and interior singularities. Journal of Differential Equations, 249 (12). pp. 3081-3098. ISSN 0022-0396
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To link to this article DOI: 10.1016/j.jde.2010.08.010
We prove that all the eigenvalues of a certain highly non-self-adjoint Sturm–Liouville differential operator are real. The results presented are motivated by and extend those recently found by various authors (Benilov et al. (2003) , Davies (2007)  and Weir (2008) ) on the stability of a model describing small oscillations of a thin layer of fluid inside a rotating cylinder.