Existence and global asymptotical stability of periodic solution for the \(T\)-periodic logistic system with time-varying generating operators and \(T_{0}\)-periodic impulsive perturbations on Banach spaces

DOI10.1155/2008/524945zbMath1154.34030OpenAlexW2120594590WikidataQ58644498 ScholiaQ58644498MaRDI QIDQ937026

Qi'an Chen, Xiaoling Xiang, JinRong Wang, Wei Wei

Publication date: 20 August 2008

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2008/524945

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Ordinary differential equations with impulses (34A37) Population dynamics (general) (92D25) Nonlinear differential equations in abstract spaces (34G20) Stability of solutions to ordinary differential equations (34D20)

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Cites Work

• Existence of periodic solutions of impulsive differential systems
• Optimal harvesting policy for single population with periodic coefficients
• Bounded and periodic solutions of differential equations in Banach space
• On periodic solutions of nonlinear evolution equations in Banach spaces
• Impulsive stabilization and applications to population growth models
• A decomposition theorem for bounded solutions and the existence of periodic solutions to periodic differential equations
• Linear impulsive periodic system with time-varying generating operators on Banach space
• Existence of periodic solutions of semilinear evolution equations with time lags
• Periodic Time-Dependent Predator-Prey Systems
• Periodic solutions for evolution equations