We study the persistence of eigenvalues and eigenvectors of perturbed eigenvalue problems in Hilbert spaces. We assume that the unperturbed problem has a nontrivial kernel of odd dimension and we prove a Rabinowitz-type global continuation result. The approach is topological, based on a notion of degree for oriented Fredholm maps of index zero between real differentiable Banach manifolds.
Global persistence of the unit eigenvectors of perturbed eigenvalue problems in hilbert spaces: The odd multiplicity case / Benevieri, P.; Calamai, A.; Furi, M.; Pera, M. P.. - In: MATHEMATICS. - ISSN 2227-7390. - ELETTRONICO. - 9:5(2021), p. 561. [10.3390/math9050561]
Global persistence of the unit eigenvectors of perturbed eigenvalue problems in hilbert spaces: The odd multiplicity case
Calamai A.;
2021-01-01
Abstract
We study the persistence of eigenvalues and eigenvectors of perturbed eigenvalue problems in Hilbert spaces. We assume that the unperturbed problem has a nontrivial kernel of odd dimension and we prove a Rabinowitz-type global continuation result. The approach is topological, based on a notion of degree for oriented Fredholm maps of index zero between real differentiable Banach manifolds.| File | Dimensione | Formato | |
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