This paper studies the existence, uniqueness, asymptotic and $S^p$-globally exponential stability of Stepanov-like pseudo almost automorphic solution to Lotka–Volterra recurrent neural networks (LVRNNs) with time-varying delays on time scales by applying D-matrix theory, Banach fixed point theorem, constructing a suitable Lyapunov functional and the theory of time scales calculations. An example and simulations are given to prove the effectiveness of main theoretical results.

中文翻译：

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时间尺度上延迟 Lotka–Volterra 递归神经网络的 Stepanov 稳定性

本文研究了存在性、唯一性、渐近性和${\mathrm{小号}}^p$-通过应用D矩阵理论、Banach 不动点定理、构建合适的 Lyapunov 泛函和理论，在时间尺度上具有时变延迟的 Lotka-Volterra 递归神经网络 (LVRNN) 的类 Stepanov 伪几乎自守解决方案的全局指数稳定性的时间尺度计算。通过算例和仿真验证了主要理论结果的有效性。