In this paper, a class of two-dimensional shunting inhibitory cellular neural networks with time-varying delays and variable coefficients as following system $$ \frac{{d}x_{ij}}{{d}t}=L_{ij}(t)-a_{ij}(t)x_{ij}-\sum_{C_{kl}\in N_r(i,j)}c_{ij}^{kl}(t)f_{kl}(x_{kl}(t-\tau_{kl}(t)))x_{ij}$$ is studied, which every cell has its own signal transmission function. We obtain two sufficient conditions about existence of a unique almost periodic solution for the system by way of exponential dichotomy and the Banach fixed point theorem, and point out the utilization occasion of every condition. Moreover, ...
