On the Integral Giving the Degree of a Map and a Rouché Type Theorem

T. Hatziafratis; A. Tsarpalias

doi:10.4171/zaa/761

JournalszaaVol. 16, No. 2pp. 239–247

On the Integral Giving the Degree of a Map and a Rouché Type Theorem

T. Hatziafratis
University of Athens, Greece
A. Tsarpalias
University of Athens, Greece

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Abstract

An analytic approach to the degree of a map $f : \partial D \to R^{n} \ {0}$ is given (where $D \subset R^{n}$ is a bounded domain with smooth boundary) and a Rouché type theorem is proved.

Cite this article

T. Hatziafratis, A. Tsarpalias, On the Integral Giving the Degree of a Map and a Rouché Type Theorem. Z. Anal. Anwend. 16 (1997), no. 2, pp. 239–247

DOI 10.4171/ZAA/761