Maximal lp-regularity for discrete time Volterra equations with delay
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Título
Maximal lp-regularity for discrete time Volterra equations with delayFecha de publicación
2019-07-08Editor
Taylor & FrancisCita bibliográfica
LIZAMA, Carlos; MURILLO-ARCILA, Marina. Maximal ℓp-regularity for discrete time Volterra equations with delay. Journal of Difference Equations and Applications, 2019, 1-19.Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
https://www.tandfonline.com/doi/abs/10.1080/10236198.2019.1638916?journalCode=gdea20Versión
info:eu-repo/semantics/acceptedVersionPalabras clave / Materias
Resumen
In this paper, we investigate the existence and uniqueness of solutions belonging to the vector-valued space ℓp(Z,X) by using Blunck's theorem on the equivalence between operator-valued ℓp-multipliers and the notion ... [+]
In this paper, we investigate the existence and uniqueness of solutions belonging to the vector-valued space ℓp(Z,X) by using Blunck's theorem on the equivalence between operator-valued ℓp-multipliers and the notion of R-boundedness for the discrete time Volterra equation with delay given by u(n)=∑nj=−∞b(n−j)Au(j)+∑kj=1βju(n−τj)+f(n),n∈Z, where A is a closed linear operator with domain D(A) defined on a Banach space X, and b∈ℓ1(Z) verifies suitable conditions such as 1-regularity. We characterize maximal ℓp-regularity of solutions of such problems in terms of the data and an spectral condition, and we provide optimal estimates. Moreover, we illustrate our results providing different models that label into our general scheme such as the discrete time wave and Kuznetsov equations. [-]
Proyecto de investigación
FONDECYT (Fondo Nacional de Desarrollo Científico y Tecnológico) (Grant 1180041) ; Ministerio de educacion, cultura y deporte, Spain (MTM2016-75963-P) ; Generalitat Valenciana (GVA/2018/110)Derechos de acceso
“This is an Accepted Manuscript of an article published by Taylor & Francis Group in Journal of Difference Equations and Applications on 2019, available online: https://doi.org/10.1080/10236198.2019.1638916 "
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info:eu-repo/semantics/openAccess
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info:eu-repo/semantics/openAccess
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