NORMALIZED EIGENVECTORS OF A PERTURBED LINEAR OPERATOR VIA GENERAL BIFURCATION

DOI10.1017/S0017089508004217zbMath1152.47051MaRDI QIDQ3503711

Maria Patrizia Pera, Massimo Furi, Raffaele Chiappinelli

Publication date: 9 June 2008

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

perturbationlinear operatorfinite multiplicityLipschitz operatorbifurcation for unit eigenvectors

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Periodic solutions to ordinary differential equations (34C25) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) Applications of operator theory to differential and integral equations (47N20) Perturbations of nonlinear operators (47H14) Abstract bifurcation theory involving nonlinear operators (47J15) Variational problems in abstract bifurcation theory in infinite-dimensional spaces (58E07)

Related Items (11)

The Brouwer degree associated to classical eigenvalue problems and applications to nonlinear spectral theory ⋮ Global continuation of the eigenvalues of a perturbed linear operator ⋮ 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 ⋮ Topological persistence of the unit eigenvectors of a perturbed Fredholm operator of index zero ⋮ Approximation and convergence rate of nonlinear eigenvalues: Lipschitz perturbations of a bounded self-adjoint operator ⋮ Topological persistence of the normalized eigenvectors of a perturbed self-adjoint operator ⋮ Global perturbation of nonlinear eigenvalues ⋮ PERSISTENCE OF THE NORMALIZED EIGENVECTORS OF A PERTURBED OPERATOR IN THE VARIATIONAL CASE ⋮ Eigenvalue problems for Fredholm operators with set-valued perturbations ⋮ A degree associated to linear eigenvalue problems in Hilbert spaces and applications to nonlinear spectral theory

Cites Work

• Unnamed Item
• Co-bifurcating branches of solutions for nonlinear eigenvalue problems in Banach spaces
• Bifurcation from simple eigenvalues
• Large oscillations of forced nonlinear differential equations

This page was built for publication: NORMALIZED EIGENVECTORS OF A PERTURBED LINEAR OPERATOR VIA GENERAL BIFURCATION