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UNIFORM APPROXIMATION OF IMPULSIVE HOPFIELD CELLULAR NEURAL NETWORKS BY PIECEWISE CONSTANT ARGUMENTS ON [TAU,INFINITY)

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2021
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ACTA APPLICANDAE MATHEMATICAE
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IN THIS PAPER WE GIVE A UNIFORM APPROXIMATION OF A CNN-HOPFIELD TYPE IMPULSIVE SYSTEM BY MEANS OF AN IDEPCA APPROXIMATING SYSTEM. AS A CONSEQUENCE OF THE UNIFORM APPROXIMATION, CERTAIN PROPERTIES LIKE BOUNDEDNESS ARE INHERITED. WE ALSO CONSIDER THE ANALYSIS OF A CONSTANT COEFFICIENTS CASE. THESE RESULTS ARE NOVEL IN THE IMPULSIVE DIFFERENTIAL EQUATIONS FRAME. EXAMPLES ARE SIMULATED, ILLUSTRATING THE EFFECTIVENESS OF OUR RESULTS.
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