2026-04-22T21:41:19Zhttps://uvadoc.uva.es/oai/request

oai:uvadoc.uva.es:10324/257422021-06-23T11:39:10Zcom_10324_1176com_10324_931com_10324_894col_10324_1359

Favard theory for the adjoint equation and Fredholm alternative Campos, Juan Obaya, Rafael Tarallo, Massimo Producción Científica 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. 2017-09-19T16:17:50Z 2017-09-19T16:17:50Z 2017 info:eu-repo/semantics/article Journal of Differential Equations 262 (2017), no.2 749-802 0022-0396 http://uvadoc.uva.es/handle/10324/25742 10.1016/j.jde.2016.09.041 eng http://www.sciencedirect.com/science/journal/00220396/262/2?sdc=1 info:eu-repo/grantAgreement/EC/H2020/643073 info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by-nc-nd/4.0/ Attribution-NonCommercial-NoDerivatives 4.0 International Elsevier SI