Artículo
Existence and stability results for semilinear systems of impulsive stochastic differential equations with fractional Brownian motion
Autor/es | Blouhi, Tayeb
Caraballo Garrido, Tomás Ouahab, Abdelghani |
Departamento | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Fecha de publicación | 2016 |
Fecha de depósito | 2016-09-12 |
Publicado en |
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Resumen | Some results on the existence and uniqueness of mild solution for a system
of semilinear impulsive differential equations with infinite fractional Brownian
motions are proved. The approach is based on Perov’s fixed point ... Some results on the existence and uniqueness of mild solution for a system of semilinear impulsive differential equations with infinite fractional Brownian motions are proved. The approach is based on Perov’s fixed point theorem and a new version of Schaefer’s fixed point theorem in generalized Banach spaces. The relationship between mild and weak solutions and the exponential stability of mild solutions are investigated as well. The abstract theory is illustrated with an example. |
Identificador del proyecto | info:eu-repo/grantAgreement/MINECO/MTM2015-63723-P
2010/FQM314 P12-FQM-1492 |
Cita | Blouhi, T., Caraballo Garrido, T. y Ouahab, A. (2016). Existence and stability results for semilinear systems of impulsive stochastic differential equations with fractional Brownian motion. Stochastic Analysis and Applications, 34 (5), 792-834. |
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