Asymptotic Behavior of Solutions of Impulsive Differential Equations with Positive and Negative Coefficients

نویسندگان

  • Gengping Wei
  • Jianhua Shen
  • G. Wei
  • J. Shen
چکیده

This paper is concerned with the impulsive delay differential equations with positive and negative coefficients  x′(t) + p(t)x(t− τ)− q(t)x(t− σ) = 0, t ≥ t0, t 6= tk, x(tk) = bkx(tk ) + (1− bk) (∫ tk tk−τ p(s+ τ)x(s)ds − ∫ tk tk−σ q(s+ σ)x(s)ds ) , k = 1, 2, 3, · · · . Sufficient conditions are obtained for every solution of the above equation tends to a constant as t→∞.

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تاریخ انتشار 2006