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We study a nonlinear eigenvalue problem for a Sturm-Liouville operator on the interval (0, 1). The boundary conditions posed at both endpoints of the interval depend on the spectral parameter. We prove that the problem has an eigenfunction system that is a basis in the space L p (0, 1) for p > 1 and a Riesz basis for p = 2.
Differential Equations – Springer Journals
Published: Apr 14, 2012
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