Stability of perturbed nn-dimensional Volterra differential equations

In this work we deal with the problem of the stability and uniform stability of the perturbed nn-dimensional Volterra integral and differential equation x′(t)=A(t)x(t)+∫−∞tC(t,s)x(s)ds+∫−∞tD(t,s)x′(s)ds+b(t). Some sufficient conditions for the zero solution of this equation to be stable as well as uniformly stable have been obtained.