Global attractivity and existence of weighted pseudo almost automorphic solution for GHNNS with delays and variable coefficients

Global attractivity and existence of weighted pseudo almost automorphic solution for GHNNS with delays and variable coefficients
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DOI:
10.56947/gjom.v1i1.234
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发表时间:
2013-09
期刊:
Gulf Journal of Mathematics
影响因子:
--
通讯作者:
F. C. Erif;Z. B. Nahia
F. C. Erif;Z. B. Nahia
中科院分区:
其他
文献类型:
--
作者:
F. C. Erif;Z. B. Nahia

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本文给出了变时滞变系数Hopfield神经网络加权伪几乎自守解的一个新结果。更确切地说,我们将证明所考虑的模型的唯一加权伪几乎自守解的存在性和全局吸引性。然后,通过适当的分析技巧,建立了唯一的加权伪几乎自守解的全局吸引性。最后,通过一个算例验证了所得结果的有效性.
In this paper, we shall explain a new result concerning weighted pseudo almost automorphic solutions of Hopfield neural network with time-varying delay and variable coefficients. Precisely, we shall prove existence and the global attractivity of the unique weighted pseudo almost automorphic solution of the considered model. Then, by employing suitable analytic techniques, global attractivity of the unique weighted pseudo almost automorphic solution is established. Lastly, an example is provided to demonstrate the validity of the results proposed.