dc.creator | Caraballo Garrido, Tomás | es |
dc.creator | Ogouyandjou, Carlos | es |
dc.creator | Allognissode, Fulbert Kuessi | es |
dc.creator | Diop, Mamadou Abdoul | es |
dc.date.accessioned | 2020-09-08T08:52:59Z | |
dc.date.available | 2020-09-08T08:52:59Z | |
dc.date.issued | 2020-02 | |
dc.identifier.citation | Caraballo Garrido, T., Ogouyandjou, C., Allognissode, F.K. y Diop, M.A. (2020). Existence and exponential stability for neutral stochastic integro-differential equations with impulses driven by a Rosenblatt process. Discrete and Continuous Dynamical Systems - Series B, 25 (2), 507-528. | |
dc.identifier.issn | 1531-3492 | es |
dc.identifier.issn | 1553-524X | es |
dc.identifier.uri | https://hdl.handle.net/11441/100802 | |
dc.description.abstract | The existence and uniqueness of mild solution of an impulsive stochastic system driven by a Rosenblatt process is analyzed in this work by using the Banach fixed point theorem and the theory of resolvent operator developed by R. Grimmer in R. Grimmer, Resolvent operators for integral equations in a Banach space, Trans. Amer. Math. Soc., 273 (1982), 333–349. Furthermore, the exponential stability in mean square for the mild solution to neutral stochastic integro-differential equations with Rosenblatt process is obtained by establishing an integral inequality. Finally, an example is exhibited to illustrate the abstract theory. | es |
dc.format | application/pdf | es |
dc.format.extent | 21 p. | es |
dc.language.iso | eng | es |
dc.publisher | American Institute of Mathematical Sciences (AIMS) | es |
dc.relation.ispartof | Discrete and Continuous Dynamical Systems - Series B, 25 (2), 507-528. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Exponential stability | es |
dc.subject | Resolvent operator | es |
dc.subject | Impulsive neutral stochastic integro-differential equations | es |
dc.subject | Rosenblatt process | es |
dc.title | Existence and exponential stability for neutral stochastic integro-differential equations with impulses driven by a Rosenblatt process | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/submittedVersion | 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.projectID | MTM2015-63723-P | es |
dc.relation.projectID | P12-FQM-1492 | es |
dc.relation.publisherversion | https://www.aimsciences.org/article/doi/10.3934/dcdsb.2019251 | es |
dc.identifier.doi | 10.3934/dcdsb.2019251 | es |
dc.contributor.group | Universidad de Sevilla. FQM314: Análisis Estocástico de Sistemas Diferenciales | es |
dc.journaltitle | Discrete and Continuous Dynamical Systems - Series B | es |
dc.publication.volumen | 25 | es |
dc.publication.issue | 2 | es |
dc.publication.initialPage | 507 | es |
dc.publication.endPage | 528 | es |
dc.contributor.funder | European Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER) | es |
dc.contributor.funder | Ministerio de Economía y Competitividad (MINECO). España | es |
dc.contributor.funder | Junta de Andalucía. Consejería de Innovación, Ciencia y Empresa | es |