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dc.contributor.authorLizama, Carlos
dc.contributor.authorMurillo-Arcila, Marina
dc.contributor.authorLeal, Claudio
dc.date.accessioned2018-06-04T09:16:54Z
dc.date.available2018-06-04T09:16:54Z
dc.date.issued2018
dc.identifier.issn0170-4214
dc.identifier.issn1099-1476
dc.identifier.urihttp://hdl.handle.net/10234/174978
dc.description.abstractWe provide necessary and sufficient conditions for the existence and unique-ness of solutions belonging to the vector-valued space of sequences �(Z, X) forequations that can be modeled in the formΔu(n)+Δu(n)=Au(n)+G(u)(n)+ (n), n ∈ Z,,>0,≥0,where X is a Banach space,  ∈ �(Z, X), A is a closed linear operatorwith domain D(A) defined on X,andG is a nonlinear function. The oper-ator Δdenotes the fractional difference operator of order >0inthesense of Grünwald-Letnikov. Our class of models includes the discrete timeKlein-Gordon, telegraph, and Basset equations, among other differential differ-ence equations of interest. We prove a simple criterion that shows the existenceof solutions assuming that f is small and that G is a nonlinear term.ca_CA
dc.format.extent12 p.ca_CA
dc.format.mimetypeapplication/pdfca_CA
dc.language.isoengca_CA
dc.publisherWileyca_CA
dc.relation.isPartOfMathematical Methods in the Applied Sciences, 41 (2018)ca_CA
dc.rightsCopyright © 2018 John Wiley & Sons, Ltd. "This is the pre-peer reviewed version of the following article: Lizama, Carlos, Murillo-Arcila, Marina and Leal, Claudio. "Lebesgue regularity for differential difference equations with fractional damping". Mathematical Methods in the Applied Sciences, 41 (2018): 2535-2545, which has been published in final form at https://doi.org/10.1002/mma.4757. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions."ca_CA
dc.subjectDelayca_CA
dc.subjectDifferential difference equationsca_CA
dc.subjectFractional differencesca_CA
dc.subjectLebesgue maximal regularityca_CA
dc.titleLebesgue regularity for differential difference equationswith fractional dampingca_CA
dc.typeinfo:eu-repo/semantics/articleca_CA
dc.identifier.doihttps://doi.org/10.1002/mma.4757
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessca_CA
dc.relation.publisherVersionhttps://onlinelibrary.wiley.com/doi/epdf/10.1002/mma.4757ca_CA
dc.type.versioninfo:eu-repo/semantics/submittedVersionca_CA


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