This paper is concerned with large time behavior of the solution to a diffusive perturbation linear LSW model introduced by Carr and Penrose. Like model, Carr–Penrose has family rapidly decreasing self-similar solutions, depending on parameter $$\beta $$ $$0<\beta \le 1$$ . It shown that if initial data have compact support, then at approximates =1$$ solution. result supports intuition diffusio...

This note presents new results on global asymptotic stability (GAS) and global exponential stability (GES) of a general class of continuous-time recurrent neural networks with Lipschitz continuous and monotone nondecreasing activation functions. We first give three sufficient conditions for the GAS of neural networks. These testable sufficient conditions differ from and improve upon existing on...