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Existence and global exponential stability of almost periodic solution for cellular neural networks with variable coefficients and time-varying delays

机译:变系数时变时滞细胞神经网络几乎周期解的存在性和全局指数稳定性

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In this paper, we study cellular neural networks with almost periodic variable coefficients and time-varying delays. By using the existence theorem of almost periodic solution for general functional differential equations, introducing many real parameters and applying the Lyapunov functional method and the technique of Young inequality, we obtain some sufficient conditions to ensure the existence, uniqueness, and global exponential stability of almost periodic solution. The results obtained in this paper are new, useful, and extend and improve the existing ones in previous literature.
机译:在本文中,我们研究具有几乎周期可变系数和时变延迟的细胞神经网络。通过使用一般泛函微分方程的概周期解的存在性定理,引入许多实参,并应用Lyapunov泛函方法和杨氏不等式技术,我们获得了一些充分的条件,可以确保泛函微分方程的存在,唯一性和全局指数稳定性定期解决。本文获得的结果是新的,有用的,并且扩展和改进了先前文献中的现有结果。

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