Stability criteria of delay impulsive systems on time scales (Q884503)

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scientific article; zbMATH DE number 5161918
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Stability criteria of delay impulsive systems on time scales
scientific article; zbMATH DE number 5161918

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    Stability criteria of delay impulsive systems on time scales (English)
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    6 June 2007
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    In this paper the author gives some conditions to get either the stability or instability of the trivial solution of the delay impulsive systems on time scales \[ x^\Delta= f(t,x_t), t\not=t_k \] \[ x(t_k^+) = x(t_k)+I_k(x(t_k)), = t_k \] \[ x(t_0^+) =x_0 \]
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    Time scale
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    Lyapunov functional
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    delay impulsive systems
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