Robustness of mean-square exponential dichotomies for linear stochastic equations

dc.contributor.authorZhu, Hailong
dc.contributor.authorJiang, Yongxin
dc.date.accessioned2022-05-02T14:52:49Z
dc.date.available2022-05-02T14:52:49Z
dc.date.issued2017-05-05
dc.description.abstractWe 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.departmentMathematics
dc.formatText
dc.format.extent13 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationZhu, 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.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/15725
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2017, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectrobustness
dc.subjectmean-square exponential contraction
dc.subjectmean-square exponential dichotomy
dc.subjectstochastic differential equations
dc.titleRobustness of mean-square exponential dichotomies for linear stochastic equations
dc.typeArticle

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