Existence and uniqueness of positive periodic solutions of functional differential equations

DOI10.1016/j.jmaa.2003.12.012zbMath1057.34094OpenAlexW1988495224MaRDI QIDQ1827065

Xi-Lan Liu, Wang-Tong Li

Publication date: 6 August 2004

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2003.12.012

zbMATH Keywords

eigenvalueconeuniquenessdelayfunctional-differential equationpositive periodic solution

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Periodic solutions to functional-differential equations (34K13)

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Cites Work

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• Remarks on one-dimensional delay-differential equations
• On the existence of rapidly oscillatory solutions in the Nicholson blowflies equation
• Existence and global stability of positive periodic solutions of a predator-prey system with delays
• Existence and global stability of positive periodic solutions of a discrete delay competition system
• Positive periodic solutions of a class of delay differential system with feedback control.
• Periodic solutions and permanence for a delayed nonautonomous ratio-dependent predator-prey model with Holling type functional response.
• Periodic solutions of delayed ratio-dependent predator--prey models with monotonic or nonmonotonic functional responses
• Positive periodic solutions of nonautonomous functional differential equations depending on a parameter
• Oscillation and global attractivity in a periodic Nicholson's blowflies model
• Periodic solutions of a ratio-dependent food chain model with delays

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