Convergence of delay equations driven by a Holder continuous function of order 1/3 <beta< 1/2
| dc.contributor.author | Besalu, Mireia | |
| dc.contributor.author | Binotto, Giulia | |
| dc.contributor.author | Rovira, Carles | |
| dc.date.accessioned | 2021-09-30T22:38:22Z | |
| dc.date.available | 2021-09-30T22:38:22Z | |
| dc.date.issued | 2020-06-26 | |
| dc.description.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. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 27 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.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. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14572 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2020, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Delay equation | |
| dc.subject | Stochastic differential equation | |
| dc.subject | Convergence | |
| dc.subject | Fractional integral | |
| dc.title | Convergence of delay equations driven by a Holder continuous function of order 1/3 <beta< 1/2 | |
| dc.type | Article |