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- W2013589574 abstract "Consider the delay differential equation (DDE) with nonlinear impulsesẋ(t)+∑i=1npi(t)x(t−τi)=0,t≠tj,t≥t0,x(t+j)−x(tj)=Ij(x(tj)),j=1,2,…,(∗)wherepi ∈ C([t0, ∞), R+), τi ≥ 0 fori = 1, 2,…,n, andIj ∈ C(R, R) forj = 1, 2,… . The purpose of this paper is to obtain a necessary and sufficient condition for the existence of positive solutions of DDE without impulses and to establish a kind of order persistence of solutions of Eq. (∗) and criteria of the asymptotic behavior of Eq. (∗), which can be used to improve and develop some of the known results in the literature." @default.
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- W2013589574 date "1997-03-01" @default.
- W2013589574 modified "2023-10-18" @default.
- W2013589574 title "Positive Solutions and Asymptotic Behavior of Delay Differential Equations with Nonlinear Impulses" @default.
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- W2013589574 doi "https://doi.org/10.1006/jmaa.1997.5276" @default.
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