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An index for periodic orbits of local semidynamical systems

Author(s): Christian C. Fenske
Journal: Trans. Amer. Math. Soc. 350 (1998), 4973-4991.
MSC (1991): Primary 54H20; Secondary 58F25, 58F32, 55M25
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Abstract: We define an index of Fuller type counting the number of periodic orbits of a semiflow on an ANR by a suitable approximation process.

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Additional Information:

Christian C. Fenske
Affiliation: Mathematisches Institut der Justus-Liebig, Universität Arndtstrasse, 2 D-35392 Giessen, Germany
Email: christian.fenske@math.uni-giessen.d400.de

DOI: 10.1090/S0002-9947-98-02114-X
PII: S 0002-9947(98)02114-X
Keywords: Index, periodic orbit, semiflow, Fuller index, functional differential equation
Received by editor(s): November 20, 1995
Received by editor(s) in revised form: November 19, 1996
Copyright of article: Copyright 1998, American Mathematical Society

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