On eigenfunction expansions for a nonlinear Sturm-Liouville operator with spectral-parameter dependent boundary conditions |
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| Authors: | A. S. Makin H. B. Thompson |
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| Affiliation: | 1.Moscow State University of Instrumentation and Computer Science,Moscow,Russia;2.The University of Queensland,Brisbane,Australia |
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| Abstract: | 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. |
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