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Título
Favard theory for the adjoint equation and Fredholm alternative
Año del Documento
2017
Editorial
Elsevier
Descripción
Producción Científica
Documento Fuente
Journal of Differential Equations 262 (2017), no.2 749-802
Résumé
Fredholm Alternative is a classical tool of periodic linear equations, allowing to describe the existence of periodic solutions of an inhomogeneous equation in terms of the adjoint equation. A few partial extensions have been proposed in the literature for recurrent equations: our aim is to point out that they have a common root and discuss whether such a root gives rise to a general Fredholm-type Alternative. Sacker–Sell spectral theory and Favard theory are main ingredients in this discussion: a considerable effort is devoted to understand how Favard theory is affected by adjunction, at least for planar equations.
ISSN
0022-0396
Revisión por pares
SI
Patrocinador
MINECO/FEDER MTM2015-66330
Patrocinador
info:eu-repo/grantAgreement/EC/H2020/643073
Version del Editor
Idioma
eng
Derechos
openAccess
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