Positive periodic solutions of impulsive delay differential equations with sign-changing coefficient.
Liu, Yuji, Bai, Zhanbing, Gui, Zhanjie, Ge, Weigao (2004)
Portugaliae Mathematica. Nova Série
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Displaying similar documents to “Dynamic analysis of an impulsive differential equation with time-varying delays”
Positive periodic solutions of impulsive delay differential equations with sign-changing coefficient.
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Existence and global attractivity of positive periodic solutions for a delayed competitive system with the effect of toxic substances and impulses
Changjin Xu, Qianhong Zhang, Maoxin Liao (2013)
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In this paper, a class of non-autonomous delayed competitive systems with the effect of toxic substances and impulses is considered. By using the continuation theorem of coincidence degree theory, we derive a set of easily verifiable sufficient conditions that guarantees the existence of at least one positive periodic solution, and by constructing a suitable Lyapunov functional, the uniqueness and global attractivity of the positive periodic solution are established.