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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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.
Existence of periodic solutions of impulsive differential systems.
Erbe, L.H., Liu, Xinzhi (1991)
Journal of Applied Mathematics and Stochastic Analysis
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