New results on positive almost periodicity of some proportional delayed SICNNs involving D operator

Abstract

In this paper, we first substantiate the global existence of bounded positive solutions for a kind of shunting inhibitory cellular neural networks with D operator and proportional delay. Second, by utilising differential inequality techniques and the Lyapunov functional method, some testable criteria are achieved to verify the global exponential stability of the positive almost periodic solutions for the proposed networks, which encompasses existing ones in the literature as some special cases. Finally, an explanatory example is performed to justify our analytical findings.