Boundedness for impulsive delay differential equations and applications to population growth models

✍ Scribed by Xinzhi Liu; George Ballinger

• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 244 KB
• Volume: 53
• Category: Article
• ISSN: 0362-546X
• DOI: 10.1016/s0362-546x(03)00041-5

✦ Synopsis

In this paper, criteria on uniform ultimate boundedness are derived for impulsive delay di erential 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 inÿnity. Those criteria are then used to obtain permanence results for population growth models. Some examples are discussed to illustrate the theorems.