Pullback attractors for stochastic recurrent neural networks with discrete and distributed delays

<p style='text-indent:20px;'>In this paper, we investigate a class of stochastic recurrent neural networks with discrete and distributed delays for both biological mathematical interests. We do not assume any Lipschitz condition on the nonlinear term, just continuity assumption together growth conditions so that uniqueness Cauchy problem fails to be true. Moreover, existence pullback attractors or without periodicity is presented multi-valued noncompact random dynamical system. In particular, new method checking asymptotical compactness solutions nonautonomous lattice systems infinite delay used.</p>