Robustness of mean-square exponential dichotomies for linear stochastic equations
dc.contributor.author | Zhu, Hailong | |
dc.contributor.author | Jiang, Yongxin | |
dc.date.accessioned | 2022-05-02T14:52:49Z | |
dc.date.available | 2022-05-02T14:52:49Z | |
dc.date.issued | 2017-05-05 | |
dc.description.abstract | We present the notion of mean-square exponential dichotomies for linear stochastic differential equations. We study the robustness of the mean-square exponential dichotomies, in the sense of the existence of a mean-square exponential dichotomy for a given linear stochastic equation persists under sufficiently small linear perturbations. As a special case, we consider mean-square exponential contractions. | |
dc.description.department | Mathematics | |
dc.format | Text | |
dc.format.extent | 13 pages | |
dc.format.medium | 1 file (.pdf) | |
dc.identifier.citation | Zhu, H., & Jiang, Y. (2017). Robustness of mean-square exponential dichotomies for linear stochastic equations. <i>Electronic Journal of Differential Equations, 2017</i>(123), pp. 1-13. | |
dc.identifier.issn | 1072-6691 | |
dc.identifier.uri | https://hdl.handle.net/10877/15725 | |
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, 2017, San Marcos, Texas: Texas State University and University of North Texas. | |
dc.subject | robustness | |
dc.subject | mean-square exponential contraction | |
dc.subject | mean-square exponential dichotomy | |
dc.subject | stochastic differential equations | |
dc.title | Robustness of mean-square exponential dichotomies for linear stochastic equations | |
dc.type | Article |