Almost sure exponential stability for stochastic neutral partial functional differential equations

Asymptotic Stability of Stochastic Impulsive Neutral Partial Functional Differential Equations

“…Many interesting results have been obtained, for example [5][6][7]. There are only few works on the stability of mild solutions to stochastic neutral partial functional differential equations [8,9]. In [10] authors studied the asymptotic stability of impulsive stochastic neutral partial differential equations with infinite delays and in [11] Global attracting set and exponential stability of stochastic neutral partial functional differential equations with impulses.…”

The Neutral Stochastic Integrodifferential Equations with Jumps

“…Particularly, the existence and stability results of solution to SEEs and integrodifferential systems have also been considered in the literature (see, e.g., [7,8]). Furthermore, the problem of the existence and uniqueness of solution for neutral stochastic partial functional differential equation in the case where the coefficients do not satisfy the global Lipschitz condition was investigated by Cao et al [9], Bao and Hou [10], and recently Govindan [11] and Diop et al [12].…”

Neutral stochastic delay partial functional integro-differential equations driven by a fractional Brownian motion

“…Neutral differential equations have many applications in physical and biological systems, for this reason these equations have received much attention in recent years (see, e.g. [8], [2], [7], [13], [15], [16] and references therein). The literature related to neutral differential equations of the type (1.1) is not vast.…”