On homotopy Conley index for multivalued flows in Hilbert spaces
Keywords
Conley index, multivalued dynamical systemAbstract
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.Downloads
Published
2011-04-23
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1.
DZEDZEJ, Zdzisław and GABOR, Grzegorz. On homotopy Conley index for multivalued flows in Hilbert spaces. Topological Methods in Nonlinear Analysis. Online. 23 April 2011. Vol. 38, no. 1, pp. 187 - 205. [Accessed 25 April 2024].
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