Convergence of delay equations driven by a Hölder continuous function of order 1/3<β<1/2.
In this article we show that, when the delay approaches zero, the solution of multidimensional delay differential equations driven by a Hölder continuous function of order 1/3 < \beta < 1/2 converges with the supremum norm to the solution for the equation without delay. Finally we discuss the...
| Autores: | , , |
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| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2020 |
| País: | España |
| Recursos: | Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
| Repositorio: | Recercat. Dipósit de la Recerca de Catalunya |
| OAI Identifier: | oai:recercat.cat:2445/193827 |
| Acesso em linha: | https://hdl.handle.net/2445/193827 |
| Access Level: | acceso abierto |
| Palavra-chave: | Equacions diferencials retardades Equacions diferencials estocàstiques Convergència (Matemàtica) Delay differential equations Stochastic differential equations Convergence |
| Resumo: | In this article we show that, when the delay approaches zero, the solution of multidimensional delay differential equations driven by a Hölder continuous function of order 1/3 < \beta < 1/2 converges with the supremum norm to the solution for the equation without delay. Finally we discuss the applications to stochastic differential equations. |
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