attracting and invariant sets of non-autonomous reaction-diffusion neural networks with time-varying delays

in this paper, a class of non-autonomous reaction-diffusion neural networks with time-varying delays is investigated. by establishing a new differential inequality and employing the properties of spectral radius of nonnegative matrix and diffusion operator, the global attracting and positive invariant sets and exponential stability of non-autonomous reaction-diffusion neural networks with time-varying delays are obtained. our results do not require the conditions of boundedness of the coefficient of neural networks. one example is given to illustrate the effectiveness of our conclusion.