On homotopy Conley index for multivalued flows in Hilbert spaces
KeywordsConley index, multivalued dynamical system
AbstractAn 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.
How to Cite
DZEDZEJ, Zdzisław & GABOR, Grzegorz. On homotopy Conley index for multivalued flows in Hilbert spaces. Topological Methods in Nonlinear Analysis [online]. 23 April 2011, T. 38, nr 1, s. 187–205. [accessed 2.12.2021].
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