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Displaying similar documents to “Equivariant Morse equation”

Module structure in Conley theory with some applications

Zdzisław Dzedzej (2014)

Banach Center Publications

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A multiplicative structure in the cohomological version of Conley index is described following a joint paper by the author with K. Gęba and W. Uss. In the case of equivariant flows we apply a normalization procedure known from equivariant degree theory and we propose a new continuation invariant. The theory is applied then to obtain a mountain pass type theorem. Another illustrative application is a result on multiple bifurcations for some elliptic PDE.

Equivariant degree of convex-valued maps applied to set-valued BVP

Zdzisław Dzedzej (2012)

Open Mathematics

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An equivariant degree is defined for equivariant completely continuous multivalued vector fields with compact convex values. Then it is applied to obtain a result on existence of solutions to a second order BVP for differential inclusions carrying some symmetries.