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Weighted pseudo almost periodicity of multi-proportional delayed shunting inhibitory cellular neural networks with D operator

  • * Corresponding author: Chuangxia Huang and Jinde Cao

    * Corresponding author: Chuangxia Huang and Jinde Cao 
The work is partially supported by the National Natural Science Foundation of China (Nos. 11971076, 51839002); International Cooperation and Expansion Project of "Double First-class" (No. 2019IC37)
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  • 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.

    Mathematics Subject Classification: 34C25; 34K13; 34K25.

    Citation:

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  • Figure 1.  Numerical solutions of model (3.1), take the initial value (0.5, -0.7, 1, -0.5), (0.6, -0.3, 0.4, -0.6), (-0.5, 0.7, -0.2, 0.4)

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