Electronic Journal of Differential Equations, 
Vol. 2020 (2020), No. 65, pp. 1-27.

Title: Convergence of delay equations driven by a Holder continuous function 
       of order 1/3<beta<1/2 
       
Authors: Mireia Besalu (Univ. de Barcelona, Barcelona, Spain)
         Giulia Binotto (Univ. Autonoma de Barcelona, Barcelona, Spain)
         Carles Rovira (Univ. de Barcelona, Barcelona, Spain)    

Abstract:
 In 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<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
 
Submitted October 30, 2018. Published June 26, 2020.
Math Subject Classifications: 60H05, 60H07.
Key Words: Delay equation; stochastic differential equation; convergence;
           fractional integral.