脉冲微分方程正周期解的存在唯一性与全局吸引性（英文）  

Existence and Global Attractivity of Unique Positive Periodic Solution for an Impulsive Differential Equation

作　　者：张小英[1] 刘桂荣[2] 

机构地区：[1]山西农业大学文理学院数学系,山西太谷030801 [2]山西大学数学科学学院,山西太原030006

出　　处：《生物数学学报》2015年第3期405-414,共10页Journal of Biomathematics

基　　金：supported by the Youth Innovation Foundation of Shanxi Agricultural Universit(2011009);National Nature Science Foundation of P.R.China(No.11471197),(No.201402319);Shanxi Provincial Nature Science Foundation of China(No.2014011005-1);Shanxi Provincial Programs for Science and Technology(No.20120311001-2)

摘　　要：本文,我们考虑了脉冲微分方程.正周期解的存在唯一性与全局吸引性,通过使用不动点定理,建立了该方程唯一正周期解的存在性与全局吸引性的充分条件.特别地,我们给出x是其他正解的全局吸引子.我们的结果推广和改进了已有文献结果.In this paper,we consider an impulsive differential equation.By using a fixed point theorem,some criteria are estabUshed for the existence of the unique positive w-periodic solution x of the equation.In particular,we give the conclusion of x is a global attractor of all other positive solutions.Our work extends and improves some known results.

关 键 词：脉冲微分方程 正周期解 存在性 全局吸引性 唯一性 不动点定理 

分 类 号：O175[理学—数学]