TY - JOUR AU - Dzedzej, Zdzisław AU - Gabor, Grzegorz PY - 2011/04/23 Y2 - 2024/03/29 TI - On homotopy Conley index for multivalued flows in Hilbert spaces JF - Topological Methods in Nonlinear Analysis JA - TMNA VL - 38 IS - 1 SE - DO - UR - https://apcz.umk.pl/TMNA/article/view/TMNA.2011.028 SP - 187 - 205 AB - An approximation approach is applied to obtain a homotopyversion 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 arediscussed in an infinite dimensional situation. Some additional properties forgradient differential inclusions are also presented. ER -