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oai:recercat.cat:2445/1938272025-12-04T22:47:48Zcom_2072_1057col_2072_478825col_2072_478917col_2072_478920

urn:hdl:2445/193827 Convergence of delay equations driven by a Hölder continuous function of order 1/3<β<1/2. Besalú, Mireia Binotto, Giulia Rovira Escofet, Carles Equacions diferencials retardades Equacions diferencials estocàstiques Convergència (Matemàtica) Delay differential equations Stochastic differential equations Convergence 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. 2023-02-20T12:54:58Z 2023-02-20T12:54:58Z 2020-06-26 2023-02-20T12:54:58Z info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Reproducció del document publicat a: https://ejde.math.txstate.edu/Volumes/2020/65/abstr.html Electronic Journal of Differential Equations, 2020, vol. 2020, num. 65, p. 1-27 (c) Texas State University - San Marcos, 2020 info:eu-repo/semantics/openAccess Texas State University - San Marcos Articles publicats en revistes (Genètica, Microbiologia i Estadística)