Viable periodic solutions in state-dependent impulsive problems

被引：0
|
作者：
Grzegorz Gabor
机构：
[1] Nicolaus Copernicus University,Faculty of Mathematics and Computer Science
来源：
Collectanea Mathematica | 2015年 / 66卷
关键词：
Periodic solution; Viable solution; Fixed point index; State-dependent impulsive problems; Impulse function; Primary 34B37; Secondary 34C25; 37B30; 47H10; 47H11;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Periodic solutions of state-dependent impulsive ODEs in a prescribed set of constraints are examined. The so-called impulsive index is introduced, as a topological tool, and its properties are studied. Some sufficient conditions for its homotopy property are discussed in detail. In a construction of the impulsive index the fixed point index on ANRs is applied to an induced discrete semidynamical system on a barrier where jumps occur. Several illustrative examples are added.
引用
收藏
页码：351 / 365
页数：14
相关论文
共 50 条
12345