Oscillation of impulsive delay differential equations and applications to population dynamics

DOI10.1017/S1446181100009664zbMath1078.34529OpenAlexW1963543579MaRDI QIDQ3023708

Jurang Yan, Aimin Zhao, Linping Peng

Publication date: 5 July 2005

Published in: The ANZIAM Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446181100009664

zbMATH Keywords

oscillationnonoscillationnonlinear delay differential equationsnonlinear impulsive delay differential equations

Mathematics Subject Classification ID

Functional-differential equations with impulses (34K45) Population dynamics (general) (92D25) Oscillation theory of functional-differential equations (34K11)

Related Items (7)

Existence of periodic solutions, global attractivity and oscillation of impulsive delay population model ⋮ Dynamics behavior for second-order neutral Clifford differential equations: inertial neural networks with mixed delays ⋮ A survey on oscillation of impulsive delay differential equations ⋮ Oscillatory solutions of differential equations with several discrete delays and generalized ODEs ⋮ On existence of a globally attractive periodic solution of impulsive delay logarithmic population model ⋮ A method for stability analysis of periodic delay differential equations with multiple time-periodic delays ⋮ On the impulsive delay hematopoiesis model with periodic coefficients

Cites Work

• The existence of nonoscillatory solutions to a generalized, nonautonomous, delay logistic equation
• Theory of functional differential equations. 2nd ed
• On delay differential equations with impulses
• Oscillation and stability of linear impulsive delay differential equations
• Linearized oscillation of nonlinear impulsive delay differential equations.
• Existence, uniqueness and boundedness results for impulsive delay differential equations
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