Dichotomy and almost automorphic solution of difference system
Author
dc.contributor.author
Castillo, Samuel
Author
dc.contributor.author
Pinto Jiménez, Manuel
Admission date
dc.date.accessioned
2018-12-20T14:13:57Z
Available date
dc.date.available
2018-12-20T14:13:57Z
Publication date
dc.date.issued
2013
Identifier
dc.identifier.issn
14173875
Identifier
dc.identifier.uri
https://repositorio.uchile.cl/handle/2250/155037
Abstract
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We study almost automorphic solutions of recurrence relations with values in a Banach space V for quasilinear almost automorphic difference systems. Its linear part is a constant bounded linear operator A defined on V satisfying an exponential dichotomy. We study the existence of almost automorphic solutions of the non-homogeneous linear difference equation and to quasilinear difference equation. Assuming global Lipschitz type conditions, we obtain Massera type results for these abstract systems. The case where the eigenvalues λ verify [λ] = 1 is also treated. An application to differential equations with piecewise constant argument is given.