Asymptotic stability of nonlinear stochastic evolution equations
Some results on the pathwise asymptotic stability of solutions to stochastic partial differential equations are proved. Special attention is paid in proving sufficient conditions ensuring almost sure asymptotic stability with a nonexponential decay rate. The situation containing some hereditary char...
| Autores: | , , |
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| Tipo de documento: | artigo |
| Data de publicação: | 2003 |
| País: | España |
| Recursos: | Universidad de Sevilla (US) |
| Repositório: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/23649 |
| Acesso em linha: | http://hdl.handle.net/11441/23649 https://doi.org/10.1081/SAP-120019288 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Asymptotic stability Stochastic partial differential equations |
| Resumo: | Some results on the pathwise asymptotic stability of solutions to stochastic partial differential equations are proved. Special attention is paid in proving sufficient conditions ensuring almost sure asymptotic stability with a nonexponential decay rate. The situation containing some hereditary characteristics is also treated. The results are illustred with several examples. |
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