Singular differential systems with 'maxima' have not been studied yet.
Consider the following impulsive functional differential systems (2.1).
The stability of fractional differential systems has been fully studied.
In particular, we will investigate differential systems with impulsive effects.
Theorem 3.3 extends [[5], Theorem 2.4] stated for differential systems.
The application to nonlinear differential systems is outlined.
In this paper, we use the local (C^{2} -conjugate transformation to transform nonlinear stoC^{2} -conjugatetransformationo ordinary differentoal systransformgive some sufficienonlinearionstochasticexponential stability andifferentialy of systemstoc differential systems.
Recently, the inequality technique was applied to stochastic differential systems [6 11], impulsive differential systems [12 21], and impulsive stochastic differential systems [22], thus some new results have been obtained.
Recently, the inequalities techniques have been widely used to impulsive differential systems [6 10], stochastic differential systems [11 16] and impulsive stochastic differential systems [17 20], thus some new and interesting results have been obtained.
There are several papers on the pseudo almost periodicity of mild solutions for partial differential systems, stochastic partial differential systems and impulsive partial differential systems in abstract spaces; see [2 6, 20, 21, 35, 36] and the references therein.
It has been used widely to study the existence of ground state solutions to ordinary differential systems, partial differential systems, and difference systems (cf. [19 21]).
