Global continuation of the eigenvalues of a perturbed linear operator

DOI10.1007/s10231-017-0717-5OpenAlexW2768059667WikidataQ111288332 ScholiaQ111288332MaRDI QIDQ1663350

Massimo Furi, Alessandro Calamai, Maria Patrizia Pera, Pierluigi Benevieri

Publication date: 21 August 2018

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-017-0717-5

zbMATH Keywords

eigenvalueseigenvectorsFredholm operatorsdegree theorynonlinear spectral theory

Mathematics Subject Classification ID

Degree theory for nonlinear operators (47H11) Eigenvalue problems for linear operators (47A75) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10)

Related Items (4)

The Brouwer degree associated to classical eigenvalue problems and applications to nonlinear spectral theory ⋮ Global persistence of the unit eigenvectors of perturbed eigenvalue problems in Hilbert spaces ⋮ Global continuation in Euclidean spaces of the perturbed unit eigenvectors corresponding to a simple eigenvalue ⋮ A degree associated to linear eigenvalue problems in Hilbert spaces and applications to nonlinear spectral theory

Cites Work

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• Topological persistence of the unit eigenvectors of a perturbed Fredholm operator of index zero
• On the persistence of the eigenvalues of a perturbed Fredholm operator of index zero under nonsmooth perturbations
• On the degree for oriented quasi-Fredholm maps: its uniqueness and its effective extension of the Leray-Schauder degree
• A continuation principle for periodic solutions of forced motion equations on manifolds and applications to bifurcation theory
• Topological persistence of the normalized eigenvectors of a perturbed self-adjoint operator
• A degree theory for a class of perturbed Fredholm maps. II
• A degree theory for a class of perturbed Fredholm maps
• On the uniqueness of the topological degree
• An extension of Tietze's theorem
• PERSISTENCE OF THE NORMALIZED EIGENVECTORS OF A PERTURBED OPERATOR IN THE VARIATIONAL CASE
• Topological Analysis
• NORMALIZED EIGENVECTORS OF A PERTURBED LINEAR OPERATOR VIA GENERAL BIFURCATION

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