New results on time scales of pseudo Weyl almost periodic solution of delayed QVSICNNs

In this work, the problems of investigation of pseudo Weyl almost periodic solution of quaternion-valued shunting inhibitory model of type cellular neural networks with time-varying delays on time space scales are considered. We first introduce the notion of pseudo Weyl almost periodicity on time scales. Next, using fixed point theorem, the theory of time scales, Holder's inequality and Gronwall's inequality, we give sufficient conditions for the existence and the stability. Finally, we present a numerical application to illustrate the feasibility of our outcomes.

Automated summary

This work investigates the problem of pseudo Weyl almost periodic solution in quaternion-valued shunting inhibitory model of type cellular neural networks with time-varying delays on time space scales. The concept of pseudo Weyl almost periodicity on time scales is introduced, and sufficient conditions for the existence and stability are given using fixed point theorem, the theory of time scales, Holder's inequality, and Gronwall's inequality. A numerical application is also presented to demonstrate the feasibility of the outcomes.