Besalu, MireiaBinotto, GiuliaRovira, Carles2021-09-302021-09-302020-06-26Besalú, M., Binotto, G., & Rovira, C. (2020). Convergence of delay equations driven by a Holder continuous function of order 1/3<β<1/2. <i>Electronic Journal of Differential Equations, 2020</i>(65), pp. 1-27.1072-6691https://hdl.handle.net/10877/14572In this article we show that, when the delay approaches zero, the solution of multidimensional delay differential equations driven by a Holder continuous function of order 1/3<β<1/2 converges with the supremum norm to the solution for the equation without delay. Finally we discuss the applications to stochastic differential equations.Text27 pages1 file (.pdf)enAttribution 4.0 InternationalDelay equationStochastic differential equationConvergenceFractional integralConvergence of delay equations driven by a Holder continuous function of order 1/3 <beta< 1/2Article