Besicovitch Almost Anti-periodic Solution of Octonion-Valued Cohen–Grossberg Neural Networks with Delays on Time Scales

Abstract

AbstractIn this work, we put forward a concept of Besicovitch almost anti-periodic functions on time scales, which is new even when time scale $$\mathbb {T}=\mathbb {R}$$ T = R or $$\mathbb {Z}$$ Z . Based on this, we use the fixed point theorem and analytical techniques to obtain the existence, uniqueness and global exponential stability of Besicovitch almost anti-periodic solutions for a class of octonion-valued Cohen–Grossberg neural networks with time delays on time scales. Finally, the validity of the results is verified by a numerical example.