作者
Xinzhi Liu, George Ballinger
发表日期
2003/6/1
期刊
Nonlinear Analysis: Theory, Methods & Applications
卷号
53
期号
7-8
页码范围
1041-1062
出版商
Pergamon
简介
In this paper, criteria on uniform ultimate boundedness are derived for impulsive delay differential equations using Lyapunov functions and Razumikhin techniques. It should be noted that the boundedness criteria establish global existence of solutions as well as boundedness without assuming, a priori, that solutions can necessarily be continued to infinity. Those criteria are then used to obtain permanence results for population growth models. Some examples are discussed to illustrate the theorems.
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