Oscillation of impulsive neutral differential equations with positive and negative coefficients (Q1585277)

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scientific article; zbMATH DE number 1526404
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Oscillation of impulsive neutral differential equations with positive and negative coefficients
scientific article; zbMATH DE number 1526404

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    Oscillation of impulsive neutral differential equations with positive and negative coefficients (English)
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    4 July 2003
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    The authors consider the following impulsive problem \[ [x(t)-R(t)x(t-r)]'+P(t)x(t-\tau)-Q(t)x(t-\sigma)=0,\quad x(t_k^+)=I_k(x(t_k)), k\in \mathbb{N}. \] They derive sufficient conditions for the oscillation and illustrate them on several examples. Remark that the oscillation behavior of such equations is investigated for the first time.
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    neutral differential equations
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    impulses
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    oscillation
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    positive and negative coefficients
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