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math.SP2023
Completeness of trajectories associated to Appell hypergeometric functions
Lyonell Boulton
We examine the linear completeness of trajectories of eigenfunctions associated to non-linear eigenvalue problems, subject to Dirichlet boundary conditions on a segment. We pursue…
math.SP2010
On a class of non-self-adjoint periodic boundary value problems with discrete real spectrum
Lyonell Boulton, Michael Levitin, Marco Marletta
In [arXiv:0801.0172] we examined a family of periodic Sturm-Liouville problems with boundary and interior singularities which are highly non-self-adjoint but have only real eigenva…