Asymptotic exponential stability for diffusion processes driven by stochastic differential equations in duals of nuclear spaces

The main objective of this paper is to investigate the asymptotic stability for diffusion processes driven by a class of Itˆo stochastic differential equations in duals of nuclear spaces. A coercivity condition imposed on this sort of equation plays the role of an exponential stability criterion. An...

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Detalles Bibliográficos
Autores: Caraballo Garrido, Tomás, Liu, Kai
Tipo de recurso: artículo
Fecha de publicación:2001
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/23647
Acceso en línea:http://hdl.handle.net/11441/23647
https://doi.org/10.2977/prims/1145477224
Access Level:acceso abierto
Palabra clave:Almost sure exponential stability
L2-exponential stability
Stochastic diffusion processes in duals of nuclear spaces
Descripción
Sumario:The main objective of this paper is to investigate the asymptotic stability for diffusion processes driven by a class of Itˆo stochastic differential equations in duals of nuclear spaces. A coercivity condition imposed on this sort of equation plays the role of an exponential stability criterion. An example is studied to illustrate our theory.