变时滞脉冲Logistic型方程周期正解的存在性  

Positive periodic solution of logistic equation with variable time delays and impulses

作　　者：杨秋鸿[1] 张锐锋[1] 冯春华[1] 

机构地区：[1]广西师范大学数学科学学院,广西桂林541004

出　　处：《湖南文理学院学报（自然科学版）》2008年第2期18-21,40,共5页Journal of Hunan University of Arts and Science(Science and Technology)

基　　金：国家自然科学基金项目资助(10461003)

摘　　要：利用抽象连续K-集压缩算子原理研究具有脉冲效应的变时滞脉冲Logistic型方程周期正解的存在性问题,得到了存在周期正解的充分条件,改进和推广了已有文献的相关结论.结果表明在适当的线性周期脉冲扰动下时滞脉冲方程保持时滞非脉冲方程的原始周期性.By the continuation theory for K-Set contractive operator, the existence of positive periodic solutions was studied for an impulsive Logistic model with variable lags. The sufficient conditions of the existence of positive periodic solution are obtained. Some results of the corresponding work in the literature have been generalized. The results indicate that under the appropriate linear periodic impulsive perturbations, the impulsive Logistic model preserves the original periodicity of the nonimpulsive Logistic model.

关 键 词：变时滞脉冲Logistic型方程 脉冲 周期正解 k- 集压缩算子 

分 类 号：O175[理学—数学]