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2020-06-26

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/193827

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

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Abstract

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.

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Equacions diferencials retardades, Equacions diferencials estocàstiques, Convergència (Matemàtica)

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Delay differential equations, Stochastic differential equations, Convergence

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BESALÚ, Mireia, BINOTTO, Giulia and ROVIRA ESCOFET, Carles. Convergence of delay equations driven by a Hölder continuous function of order 1/3<β<1/2. Electronic Journal of Differential Equations. 2020. Vol. 2020, num. 65, pags. 1-27. ISSN 1072-6691. [consulted: 17 of June of 2026]. Available at: https://hdl.handle.net/2445/193827

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