Impulsive Stochastic BAM Neural Networks on an Invariant Under a Translation Time Scale

Since the definition of p -mean almost periodic functions on time scales occupies a fundamental position in studying p -mean almost periodicity for stochastic neural networks, a concept of p -mean almost periodic functions on an invariant under a translation time scale is introduced for the first time in this paper. As an application, the existence and exponential stability of piecewise mean-square almost periodic solutions for a class of high-order BAM neural networks on time scales is studied by using the contraction mapping principal and differential inequality techniques. Finally, a numerical example is presented to illustrate the feasibility of our main results.