Stability results for impulsive functional differential equations with infinite delay (Q714485)

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scientific article; zbMATH DE number 6092728
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Stability results for impulsive functional differential equations with infinite delay
scientific article; zbMATH DE number 6092728

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    Stability results for impulsive functional differential equations with infinite delay (English)
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    11 October 2012
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    In this interesting paper, the authors obtain global asymptotic stability conditions for the following system \[ \dot{x_i}(t)=-a_i(x_i(t))[b_i(x_i(t))+f_i(t,x_t)], \quad t\neq t_k,\;i=1,\dots,n, \] \[ \Delta(x_i(t_k))=I_{ik}(x_i(t_k^-)), \] with applications to a generalized Cohen-Grossberg neural network model with time-varying delays and distributed delays.
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    infinite delay
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    impulses
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    Cohen-Grossberg neural network
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    global asymptotic stability
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