RT info:eu-repo/semantics/article
T1 Favard theory for the adjoint equation and Fredholm alternative
A1 Campos, Juan
A1 Obaya García, Rafael
A1 Tarallo, Massimo
AB 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.
PB Elsevier
SN 0022-0396
YR 2017
FD 2017
LK http://uvadoc.uva.es/handle/10324/25742
UL http://uvadoc.uva.es/handle/10324/25742
LA eng
NO Journal of Differential Equations 262 (2017), no.2 749-802
NO Producción Científica
DS UVaDOC
RD 24-oct-2020