Continuous dependence of recurrent solutions for stochastic differential equations
dc.contributor.author | Qiu, Haijing | |
dc.contributor.author | Wang, Yan | |
dc.date.accessioned | 2021-10-08T19:37:08Z | |
dc.date.available | 2021-10-08T19:37:08Z | |
dc.date.issued | 2020-11-17 | |
dc.description.abstract | Existence, uniqueness and asymptotic stability of recurrent solutions have been investigated extensively for semi-linear stochastic differential equations. In this article, we show that the unique recurrent solution depends continuously on the coefficients of the equation in the compact-open topology or uniform topology, which depends on how the coefficients vary with respect to the parameter. | |
dc.description.department | Mathematics | |
dc.format | Text | |
dc.format.extent | 9 pages | |
dc.format.medium | 1 file (.pdf) | |
dc.identifier.citation | Qiu, H., & Wang, Y. (2020). Continuous dependence of recurrent solutions for stochastic differential equations. Electronic Journal of Differential Equations, 2020(113), pp. 1-9. | |
dc.identifier.issn | 1072-6691 | |
dc.identifier.uri | https://hdl.handle.net/10877/14624 | |
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 | Stochastic differential equation | |
dc.subject | Continuous dependence | |
dc.subject | Recurrent solution | |
dc.title | Continuous dependence of recurrent solutions for stochastic differential equations | |
dc.type | Article |