dc.creator | Wang, Yejuan | es |
dc.creator | Liu, Yarong | es |
dc.creator | Caraballo Garrido, Tomás | es |
dc.date.accessioned | 2022-11-10T09:14:29Z | |
dc.date.available | 2022-11-10T09:14:29Z | |
dc.date.issued | 2021-01-02 | |
dc.identifier.citation | Wang, Y., Liu, Y. y Caraballo Garrido, T. (2021). Exponential behavior and upper noise excitation index of solutions to evolution equations with unbounded delay and tempered fractional Brownian motions. Journal of Evolution Equations, 21 (2), 1779-1807. https://doi.org/10.1007/s00028-020-00656-0. | |
dc.identifier.issn | 1424-3199 | es |
dc.identifier.issn | 1424-3202 | es |
dc.identifier.uri | https://hdl.handle.net/11441/139219 | |
dc.description.abstract | In this paper, we investigate stochastic evolution equations with unbounded delay in fractional power spaces perturbed by a tempered fractional Brownian motion Bσ,λQ(t)BQσ,λ(t) with −1/2<σ<0−1/2<σ<0 and λ>0λ>0. We first introduce a technical lemma which is crucial in our stability analysis. Then, we prove the existence and uniqueness of mild solutions by using semigroup methods. The upper nonlinear noise excitation index of the energy solutions at any finite time t is also obtained. Finally, we consider the exponential asymptotic behavior of mild solutions in mean square. | es |
dc.format | application/pdf | es |
dc.format.extent | 28 p. | es |
dc.language.iso | eng | es |
dc.publisher | Springer | es |
dc.relation.ispartof | Journal of Evolution Equations, 21 (2), 1779-1807. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Stochastic PDEs | es |
dc.subject | Unbounded delay | es |
dc.subject | Tempered fractional Brownian motion | es |
dc.subject | Fractional powers of closed operators | es |
dc.subject | Exponential decay in mean square | es |
dc.title | Exponential behavior and upper noise excitation index of solutions to evolution equations with unbounded delay and tempered fractional Brownian motions | 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/10.1007/s00028-020-00656-0 | es |
dc.identifier.doi | 10.1007/s00028-020-00656-0 | es |
dc.contributor.group | Universidad de Sevilla. FQM314: Análisis Estocástico de Sistemas Diferenciales | es |
dc.journaltitle | Journal of Evolution Equations | es |
dc.publication.volumen | 21 | es |
dc.publication.issue | 2 | es |
dc.publication.initialPage | 1779 | es |
dc.publication.endPage | 1807 | es |