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Lebesgue regularity for differential difference equations with fractional damping
dc.contributor.author | Lizama, Carlos | |
dc.contributor.author | murillo arcila, marina | |
dc.contributor.author | Leal, Claudio | |
dc.date.accessioned | 2018-06-04T09:16:54Z | |
dc.date.available | 2018-06-04T09:16:54Z | |
dc.date.issued | 2018 | |
dc.identifier.issn | 0170-4214 | |
dc.identifier.issn | 1099-1476 | |
dc.identifier.uri | http://hdl.handle.net/10234/174978 | |
dc.description.abstract | We 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 formΔu(n)+Δu(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 Δdenotes 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.extent | 12 p. | ca_CA |
dc.format.mimetype | application/pdf | ca_CA |
dc.language.iso | eng | ca_CA |
dc.publisher | Wiley | ca_CA |
dc.relation.isPartOf | Mathematical Methods in the Applied Sciences, 41 (2018) | ca_CA |
dc.rights | Copyright © 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.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | * |
dc.subject | Delay | ca_CA |
dc.subject | Differential difference equations | ca_CA |
dc.subject | Fractional differences | ca_CA |
dc.subject | Lebesgue maximal regularity | ca_CA |
dc.title | Lebesgue regularity for differential difference equations with fractional damping | ca_CA |
dc.type | info:eu-repo/semantics/article | ca_CA |
dc.identifier.doi | https://doi.org/10.1002/mma.4757 | |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | ca_CA |
dc.relation.publisherVersion | https://onlinelibrary.wiley.com/doi/epdf/10.1002/mma.4757 | ca_CA |
dc.type.version | info:eu-repo/semantics/submittedVersion | ca_CA |
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