3 papers
math.DS2019
Stability of Lyapunov Exponents, Weak Integral Separation and Nonuniform Dichotomy Spectrum
H. Zhu, Z. Li, X. He
In this paper, a necessary and sufficient condition for the stability of Lyapunov exponents of linear differential system are proved in the sense that the equations satisfy the wea…
math.DS2019
Nonuniform Mean-square Exponential Dichotomies and Mean-square Exponential Stability
Hailong Zhu, Li Chen, Xiuli He
In this paper, the existence conditions of nonuniform mean-square exponential dichotomy (NMS-ED) for a linear stochastic differential equation (SDE) are established. The difference…
math.DS2019
Robustness of nonuniform mean-square exponential dichotomies
Hailong Zhu
For linear stochastic differential equations (SDEs) with bounded coefficients, we establish the robustness of nonuniform mean-square exponential dichotomy (NMS-ED) on $[t_{0},+\oo)…