Viable periodic solutions in state-dependent impulsive problems

被引：5

作者：

Gabor, Grzegorz ^{[1
]}

机构：

[1] Nicholas Copernicus Univ, Fac Math & Comp Sci, PL-87100 Torun, Poland

来源：

COLLECTANEA MATHEMATICA | 2015年 / 66卷 / 03期

关键词：

Periodic solution; Viable solution; Fixed point index; State-dependent impulsive problems; Impulse function; DIFFERENTIAL-INCLUSIONS; EXISTENCE;

D O I：

10.1007/s13348-015-0139-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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

页码：351 / 365

页数：15

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