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.
Citation
Zdzisław Dzedzej. Grzegorz Gabor. "On homotopy Conley index for multivalued flows in Hilbert spaces." Topol. Methods Nonlinear Anal. 38 (1) 187 - 205, 2011.
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