Convergence of delay equations driven by a Holder continuous function of order 1/3 <beta< 1/2
Date
2020-06-26
Authors
Besalu, Mireia
Binotto, Giulia
Rovira, Carles
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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<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.
Description
Keywords
Delay equation, Stochastic differential equation, Convergence, Fractional integral
Citation
Besalú, 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.
Rights
Attribution 4.0 International