dc.creator | Caraballo Garrido, Tomás | es |
dc.creator | Carvalho, Alexandre Nolasco | es |
dc.creator | Langa Rosado, José Antonio | es |
dc.creator | Oliveira Sousa, Alexandre N. | es |
dc.date.accessioned | 2021-03-19T10:30:10Z | |
dc.date.available | 2021-03-19T10:30:10Z | |
dc.date.issued | 2021-01-01 | |
dc.identifier.citation | Caraballo Garrido, T., Carvalho, A.N., Langa Rosado, J.A. y Oliveira Sousa, A.N. (2021). The effect of a small bounded noise on the hyperbolicity for autonomous semilinear differential equations. Journal of Mathematical Analysis and Applications, 500 (2), 125134-1-125134-28. | |
dc.identifier.issn | 0022-247X | es |
dc.identifier.uri | https://hdl.handle.net/11441/106346 | |
dc.description.abstract | In this work, we study permanence of hyperbolicity for autonomous differential equations under nonautonomous random/stochastic perturbations. For the linear case, we study robustness and existence of exponential dichotomies for nonautonomous random dynamical systems. Next, we establish a result on the persistence of hyperbolic equilibria for nonlinear differential equations. We show that for each nonautonomous random perturbation of an autonomous semilinear problem with a hyperbolic equilibrium there exists a bounded random hyperbolic solution for the associated nonlinear nonautonomous random dynamical systems. Moreover, we show that these random
hyperbolic solutions converge to the autonomous equilibrium. As an application, we consider a semilinear dfferential equation with a small nonautonomous multiplicative white noise, and as an example, we apply the abstract results to a strongly damped wave equation. | es |
dc.format | application/pdf | es |
dc.format.extent | 28 p. | es |
dc.language.iso | eng | es |
dc.publisher | ScienceDirect | es |
dc.relation.ispartof | Journal of Mathematical Analysis and Applications, 500 (2), 125134-1-125134-28. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.title | The effect of a small bounded noise on the hyperbolicity for autonomous semilinear differential equations | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico | es |
dc.relation.publisherversion | https://doi.org/10.1016/j.jmaa.2021.125134 | es |
dc.identifier.doi | 10.1016/j.jmaa.2021.125134 | es |
dc.contributor.group | Universidad de Sevilla FQM314: Análisis Estocástico de Sistemas Diferenciales | es |
dc.journaltitle | Journal of Mathematical Analysis and Applications | es |
dc.publication.volumen | 500 | es |
dc.publication.issue | 2 | es |
dc.publication.initialPage | 125134-1 | es |
dc.publication.endPage | 125134-28 | es |