Almost automorphic mild solutions to fractional partial difference-differential equations

Abadias, L. (Universidad de Zaragoza) ; Lizama, C.

Resumen: We study existence and uniqueness of almost automorphic solutions for nonlinear partial difference-differential equations modeled in abstract form as [fórmula sin transcribir](*) for ... where ... is the generator of a ... -semigroup defined on a Banach space ... denote fractional difference in Weyl-like sense and ... satisfies Lipchitz conditions of global and local type. We introduce the notion of ... -resolvent sequence ... and we prove that a mild solution of (*) corresponds to a fixed point of [fórmula sin transcribir]. We show that such mild solution is strong in case of the forcing term belongs to an appropriate weighted Lebesgue space of sequences. Application to a model of population of cells is given.

Idioma: Inglés

DOI: 10.1080/00036811.2015.1064521

Año: 2016

Publicado en: APPLICABLE ANALYSIS 95, 6 (2016), 1347-1369
ISSN: 0003-6811

Factor impacto JCR: 0.923 (2016)

Categ. JCR: MATHEMATICS, APPLIED rank: 129 / 255 = 0.506 (2016) - Q3 - T2

Factor impacto SCIMAGO: 0.826 - Applied Mathematics (Q2) - Analysis (Q2)

Financiación: info:eu-repo/grantAgreement/ES/DGA/E64
Financiación: info:eu-repo/grantAgreement/ES/MICINN/MTM2013-42105-P

Tipo y forma: Article (Published version)

Área (Departamento): Área Análisis Matemático (Dpto. Matemáticas)