6 citations · 10 across the 10 of their papers we have counts for
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On Regularity of Stochastic Convolutions of Functional Linear Differential Equations with Memory
Kai Liu
In this work, we consider the regularity property of stochastic convolutions for a class of abstract linear stochastic retarded functional differential equations with unbounded ope…
Stationary Distributions of Second Order Stochastic Evolution Equations with Memory in Hilbert Spaces
Kai Liu
In this paper, we consider stationarity of a class of second-order stochastic evolution equations with memory, driven by Wiener processes or Levy jump processes, in Hilbert spaces.…
Stationary Solutions of Neutral Stochastic Partial Differential Equations with Delays in the Highest-Order Derivatives
Kai Liu
In this work, we shall consider the existence and uniqueness of stationary solutions to stochastic partial functional differential equations with additive noise in which a neutral…
Stationarity of Stochastic Linear Equations with Additive Noise and Delays in the Unbounded Drift Terms
Kai Liu
This paper continues the study of [11, 13] for stationary solutions of stochastic linear retarded functional differential equations with the emphasis on delays which appear in thos…
Existence of Invariant Measures of Stochastic Systems with Delay in the Highest Order Partial Derivatives
Kai Liu
In this note, we shall consider the existence of invariant measures for a class of infinite dimensional stochastic functional differential equations with delay whose driving semigr…
On Regularity Property of Retarded Ornstein-Uhlenbeck Processes in Hilbert Spaces
Kai Liu
In this work, some regularity properties of mild solutions for a class of stochastic linear functional differential equations driven by infinite dimensional Wiener processes are co…