论文标题
由Hölder驱动的延迟方程的收敛性$β\ in（\ frac13，\ frac12）$驱动的延迟方程
Convergence of delay equations driven by a Hölder continuous function of order $β\in(\frac13,\frac12)$
论文作者
论文摘要
在本说明中，我们表明，当延迟变为零时，（\ frac13，\ frac12）$ priond oder $β\驱动的多维延迟微分方程的解决方案将与超emum norm comlemant in（\ frac12，\ frac12）收敛到方程式，以毫不延迟。作为应用程序，我们讨论了随机微分方程的应用。
In this note we show that, when the delay goes to zero, the solution of multidimensional delay differential equations driven by a Hölder continuous function of order $β\in (\frac13,\frac12)$ converges with the supremum norm to the solution for the equation without delay. As an application, we discuss the applications to stochastic differential equations.
