A cohomological index of Fuller type for parameterized set-valued maps in normed spaces

Robert Skiba

Open Mathematics (2014)

  • Volume: 12, Issue: 8, page 1164-1197
  • ISSN: 2391-5455

Abstract

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We construct a cohomological index of the Fuller type for set-valued flows in normed linear spaces satisfying the properties of existence, excision, additivity, homotopy and topological invariance. In particular, the constructed index detects periodic orbits and stationary points of set-valued dynamical systems, i.e., those generated by differential inclusions. The basic methods to calculate the index are also presented.

How to cite

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Robert Skiba. "A cohomological index of Fuller type for parameterized set-valued maps in normed spaces." Open Mathematics 12.8 (2014): 1164-1197. <http://eudml.org/doc/269737>.

@article{RobertSkiba2014,
abstract = {We construct a cohomological index of the Fuller type for set-valued flows in normed linear spaces satisfying the properties of existence, excision, additivity, homotopy and topological invariance. In particular, the constructed index detects periodic orbits and stationary points of set-valued dynamical systems, i.e., those generated by differential inclusions. The basic methods to calculate the index are also presented.},
author = {Robert Skiba},
journal = {Open Mathematics},
keywords = {Fixed points of parameterized maps; Periodic orbit; Stationary point; Fixed point index; Fuller index; fixed point; parametrized map; fixed point index; periodic point},
language = {eng},
number = {8},
pages = {1164-1197},
title = {A cohomological index of Fuller type for parameterized set-valued maps in normed spaces},
url = {http://eudml.org/doc/269737},
volume = {12},
year = {2014},
}

TY - JOUR
AU - Robert Skiba
TI - A cohomological index of Fuller type for parameterized set-valued maps in normed spaces
JO - Open Mathematics
PY - 2014
VL - 12
IS - 8
SP - 1164
EP - 1197
AB - We construct a cohomological index of the Fuller type for set-valued flows in normed linear spaces satisfying the properties of existence, excision, additivity, homotopy and topological invariance. In particular, the constructed index detects periodic orbits and stationary points of set-valued dynamical systems, i.e., those generated by differential inclusions. The basic methods to calculate the index are also presented.
LA - eng
KW - Fixed points of parameterized maps; Periodic orbit; Stationary point; Fixed point index; Fuller index; fixed point; parametrized map; fixed point index; periodic point
UR - http://eudml.org/doc/269737
ER -

References

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