  We first propose the concept of Stepanov-like weighted pseudo-almost
automorphic on time-space scales and we apply this type of oscillation to
high-order BAM neural networks with mixed delays. Then, we study the existence
and exponential stability of Sp-weighted pseudo almost automorphic on
time-space scales solutions for the suggested system. Some criteria assuring
the convergence are proposed. Our method is mainly based on the Banachs fixed
point theorem, the theory of calculus on time scales and the
Lyapunov-Krasovskii functional method. Moreover, a numerical example is given
to show the effectiveness of the main results.
