On homotopy Conley index for multivalued flows in Hilbert spaces

Zdzisław Dzedzej, Grzegorz Gabor

Abstract


An approximation approach is applied to obtain a homotopy
version of the Conley type index in Hilbert spaces considered
by the first author and W. Kryszewski.
The definition given in the paper is more elementary and, as a by-product,
gives a natural connection between indices of Kunze and Mrozek in
a finite-dimensional case. Some geometric properties of the index from
a paper of the second author are
discussed in an infinite dimensional situation. Some additional properties for
gradient differential inclusions are also presented.

Keywords


Conley index; multivalued dynamical system

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