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