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Existence and stability in the α-norm for nonlinear neutral partial differential equations with finite delay

dc.creatorChitioui, Taoufik
dc.creatorEzzinbi, Khalil
dc.creatorRebey, Amor
dc.date2013-03-01
dc.identifierhttps://revistas.ufro.cl/ojs/index.php/cubo/article/view/1319
dc.identifier10.4067/S0719-06462013000100004
dc.descriptionIn this work, we study the existence, regularity and stability of solutions for some nonlinear class of partial neutral functional differential equations. We assume that the linear part generates a compact analytic semigroup on a Banach space X, the delayed part is assumed to be continuous with respect to the fractional power of the generator. For illustration, some application is provided for some model with diffusion and nonlinearity in the gradient.en-US
dc.formatapplication/pdf
dc.languageeng
dc.publisherUniversidad de La Frontera. Temuco, Chile.en-US
dc.relationhttps://revistas.ufro.cl/ojs/index.php/cubo/article/view/1319/1174
dc.sourceCUBO, A Mathematical Journal; Vol. 15 No. 1 (2013): CUBO, A Mathematical Journal; 49–75en-US
dc.sourceCUBO, A Mathematical Journal; Vol. 15 Núm. 1 (2013): CUBO, A Mathematical Journal; 49–75es-ES
dc.source0719-0646
dc.source0716-7776
dc.subjectNeutal equationen-US
dc.subjectAnalytic semigroupen-US
dc.subjectFractional poweren-US
dc.subjectMild solutionen-US
dc.subjectStrict solutionen-US
dc.titleExistence and stability in the α-norm for nonlinear neutral partial differential equations with finite delayen-US
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion


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