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

Stepanov-like Weighted Pseudo-Almost Automorphic Solutions on Time  Scales for a Novel High-order BAM Neural Network with Mixed Time-varying  Delays in the Leakage Terms