Positive periodic solutions of impulsive functional differential equations

被引：4

作者：

Liu Y. ^{[1
,2
]}

Xia J. ^{[3
]}

Ge W. ^{[2
]}

机构：

[1] Department of Applied Mathematics, Hunan Institute of Science and Technology

[2] Department of Mathematics, Beijing Institue of Technology, Beijing

[3] Department of Mathematics, Guangdong College of Finace, Guangzhou

来源：

Journal of Applied Mathematics and Computing | 2005年 / 19卷 / 1-2期

关键词：

Cone; Fixed point index; Functional differential equation; Impulse; Positive periodic solution; Upper and lower solutions;

D O I：

10.1007/BF02935804

中图分类号：

学科分类号：

摘要：

We study the existence and nonexistence of positive periodic solutions of a non-autonomous functional differential equation with impulses. The equations we study may be of delay, advance or mixed type functional differential equations and the impulses may cause the existence of positive periodic solutions. The methods employed are fixed-point index theorem, Leray-Schauder degree, and upper and lower solutions. The results obtained are new, and some examples are given to illustrate our main results. © 2005 Korean Socity for Computational &t Applied Mathematics and Korean SIGCAM.

引用

页码：261 / 280

页数：19

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