By means of a suitable degree theory, we prove persistence of eigenvalues and eigenvectors for set-valued perturbations of a Fredholm linear operator. As a consequence, we prove existence of a bifurcation point for a non-linear inclusion problem in abstract Banach spaces. Finally, we provide applications to differential inclusions.
Eigenvalue Problems for Fredholm Operators with Set-Valued Perturbations
Antonio Iannizzotto
2020-01-01
Abstract
By means of a suitable degree theory, we prove persistence of eigenvalues and eigenvectors for set-valued perturbations of a Fredholm linear operator. As a consequence, we prove existence of a bifurcation point for a non-linear inclusion problem in abstract Banach spaces. Finally, we provide applications to differential inclusions.File in questo prodotto:
File | Dimensione | Formato | |
---|---|---|---|
Benevieri-Iannizzotto ANS.pdf
Solo gestori archivio
Tipologia:
versione post-print
Dimensione
712.63 kB
Formato
Adobe PDF
|
712.63 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.