Artículo
Existence and exponential stability for neutral stochastic integro-differential equations with impulses driven by a Rosenblatt process
Autor/es | Caraballo Garrido, Tomás
Ogouyandjou, Carlos Allognissode, Fulbert Kuessi Diop, Mamadou Abdoul |
Departamento | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Fecha de publicación | 2020-02 |
Fecha de depósito | 2020-09-08 |
Publicado en |
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Resumen | 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 ... 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. |
Agencias financiadoras | European Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER) Ministerio de Economía y Competitividad (MINECO). España Junta de Andalucía. Consejería de Innovación, Ciencia y Empresa |
Identificador del proyecto | MTM2015-63723-P
P12-FQM-1492 |
Cita | 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. |
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