分数布朗运动驱动的脉冲中立型随机泛函微分方程的渐近稳定性

Asymptotic Stability of Impulsive Neutral Stochastic Functional Differential Equation Driven by Fractional Brownian Motion

该文在实可分的Hilbert空间中,用不动点方法研究了由分数布朗运动驱动的脉冲中立型随机泛函微分方程温和解的P阶矩的渐近稳定性并举例说明所得结论的可行性.

In this paper, we consider the asymptotic stability in the p-th moment of mild solutions of impulsive neutral stochastic functional differential equations driven by fractional Brownian motion in a real separable Hilbert space. A fixed point approach is used to achieve the required result. A practical example is provided to illustrate the viability of the abstract result of this work.