The exponential behaviour of nonlinear stochastic functional equations of second order in time
Sufficient conditions for exponential mean square stability of solutions to delayed stochastic partial differential equations of second order in time are established. As a consequence of these results, some ones on the pathwise exponential stability of the system are proved. The stability results de...
| Autores: | , , |
|---|---|
| Formato: | artículo |
| Fecha de publicación: | 2003 |
| País: | España |
| Recursos: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/23724 |
| Acesso em linha: | http://hdl.handle.net/11441/23724 https://doi.org/10.1142/S0219493703000735 |
| Access Level: | acceso abierto |
| Palavra-chave: | Stochastic partial functional equations mean square exponential stability pathwise exponential stability |
| Resumo: | Sufficient conditions for exponential mean square stability of solutions to delayed stochastic partial differential equations of second order in time are established. As a consequence of these results, some ones on the pathwise exponential stability of the system are proved. The stability results derived are applied also to partial differential equations without hereditary characteristics. The results are illustrated with several examples. |
|---|