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Title: Favard theory for the adjoint equation and Fredholm alternative
Authors: Campos, Juan
Obaya, Rafael
Tarallo, Massimo
Issue Date: 2017
Publisher: Elsevier
Description: Producción Científica
Citation: Journal of Differential Equations 262 (2017), no.2 749-802
Abstract: 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
Peer Review: SI
DOI: 10.1016/j.jde.2016.09.041
Sponsor: MINECO/FEDER MTM2015-66330
Programme: info:eu-repo/grantAgreement/EC/H2020/643073
Publisher Version:
Language: eng
Rights: info:eu-repo/semantics/openAccess
Appears in Collections:Documentos OpenAire(Open Access Infrastructure for Research in Europe)
DEP51 - Artículos de revista

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