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The Existence of Anti-periodic Solution for a Class of Cellular Neural Networks

机译:一类细胞神经网络反周期解的存在性

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In this paper, we use the Lyapunov function to establish new results on the existence and uniqueness of antiperiodic solutions for a class of cellular neural networks with time-varying delays and continuously distributed delays of x 1 (t)=-d i (t)h i (t,x i (t))+∑ n j=1 a ij (t)f j (x j (t-τ ij (t)))+∑ n j=1 b ij (t) ×∫ ∞ 0 K ij (s)g j (x j (t-s))ds+I i (t),i=1,2,...,n. Moreover, we also present an example to illustrate the feasibility and effectiveness of our results.
机译:在本文中,我们使用Lyapunov函数针对一类时变时延和x 1(t)=-di(t)hi连续分布的时延的细胞神经网络的反周期解的存在性和唯一性建立新的结果(t,xi(t))+ ∑ nj = 1 a ij(t)fj(xj(t-τij(t)))+ ∑ nj = 1 b ij(t)×∫∞0 K ij(s) gj(xj(ts))ds + I i(t),i = 1,2,...,n。此外,我们还提供了一个示例来说明我们的结果的可行性和有效性。

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