A cohomological index of Fuller type for parameterized set-valued maps in normed spaces
Keyword(s):
AbstractWe 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.
Keyword(s):
Keyword(s):
Keyword(s):
1970 ◽
Vol 76
(4)
◽
pp. 810-814
◽
2015 ◽
Vol 90
(2)
◽
pp. 281-297
◽
2012 ◽
Vol 20
(4)
◽
pp. 519-549
◽