## Differential and Integral Equations

### On Dancer's fixed point index formulas

Yihong Du

#### Abstract

Whether Dancer's fixed point index formulas for compact maps hold true for maps which are strict-set-contractions has been an open problem. We show that this problem has a positive answer. This implies in particular that these formulas are applicable to many differential equation systems where the underlying domain is the whole~$R^n$.

#### Article information

Source
Differential Integral Equations, Volume 13, Number 1-3 (2000), 145-158.

Dates
First available in Project Euclid: 21 December 2012