Existence and Global Asymptotical Stability of Periodic Solution for the -Periodic Logistic System with Time-Varying Generating Operators and -Periodic Impulsive Perturbations on Banach Spaces

JinRong Wang, X. Xiang, W. Wei and Qian Chen

Discrete Dynamics in Nature and Society, 2008, vol. 2008, 1-16

Abstract:

This paper studies the existence and global asymptotical stability of periodic PC-mild solution for the -periodic Logistic system with time-varying generating operators and -periodic impulsive perturbations on Banach spaces. Two sufficient conditions that guarantee the exponential stability of the impulsive evolution operator corresponding to homogenous well-posed -periodic system with time-varying generating operators and -periodic impulsive perturbations are given. It is shown that the system have a unique periodic PC-mild solution which is globally asymptotically stable when and are rational dependent and its period must be for some . At last, an example is given for demonstration.

Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:524945

DOI: 10.1155/2008/524945

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