Almost automorphic solutions for shunting inhibitory cellular neural networks with time-varying delays

Abstract

This paper is concerned with the shunting inhibitory cellular neural networks with time-varying delays. Under some suitable conditions, we establish some criteria on the existence and global exponential stability of the almost automorphic solutions of the networks. Numerical simulations are given to support the theoretical findings.

Local pseudo almost automorphic functions with applications to semilinear dynamic equations on changing-periodic time scales

“…Moreover, they proved that the space of pseudo almost automorphic functions is complete, which solves a key fundamental problem on this issue and it paves the way for further study and applications of pseudo almost automorphic functions. For other contributions concerning pseudo almost automorphy, we refer the reader to [8,9] and the references therein related to applications (see [10][11][12][13][14][15][16][17]). In [18], N'Guérékata and Pankov introduced another generalization of almost automorphic functions, i.e., Stepanov-like almost automorphic functions.…”