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On a class of non-self-adjoint periodic eigenproblems with boundary and interior singularities

By Lyonell Boulton, Michael Levitin and Marco Marletta


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) [3], Davies (2007) [7] and Weir (2008) [18]) on the stability of a model describing small oscillations of a thin layer of fluid inside a rotating cylinder

Publisher: Elsevier
Year: 2010
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