Taking into account the effects of multi-proportional delays and D operator, this paper investigates the stability issue of a general class of neutral-type SICNNs (shunting inhibitory cellular neural networks). With the help of fixed point theorem and some novel differential inequality techniques, we derive a new sufficient conditions to ensure the existence, uniqueness and exponential stability of weighted pseudo almost periodic solutions (WPAPS) of the considered model. The obtained main results are totally new and generalize some published results. At the end of this work, we also give some numerical simulations to support the proposed approach and demonstrate the correctness of the main conclusions.

中文翻译：

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具有D算子的多比例延迟分流抑制细胞神经网络的加权伪几乎周期

考虑到多比例延迟和D算符的影响，本文研究了一般类别的中性型SICNN（分流抑制细胞神经网络）的稳定性问题。借助不动点定理和一些新颖的微分不等式技术，我们得出了一个新的充分条件，以确保所考虑模型的加权伪几乎周期解（WPAPS）的存在，唯一性和指数稳定性。获得的主要结果是全新的，并概括了一些已发表的结果。在这项工作的最后，我们还提供了一些数值模拟，以支持所提出的方法并证明主要结论的正确性。