Convergence of delay equations driven by a Hölder continuous function of order 1/3<β<1/2.

Besalú, MireiaBinotto, GiuliaRovira Escofet, Carles2023-02-202023-02-202020-06-261072-6691https://hdl.handle.net/2445/193827In 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.27 p.application/pdfeng(c) Texas State University - San Marcos, 2020Equacions diferencials retardadesEquacions diferencials estocàstiquesConvergència (Matemàtica)Delay differential equationsStochastic differential equationsConvergenceConvergence of delay equations driven by a Hölder continuous function of order 1/3<β<1/2.info:eu-repo/semantics/article7073352023-02-20info:eu-repo/semantics/openAccess