Fixed point free equivariant homotopy classes
Dariusz Wilczyński (1984)
Fundamenta Mathematicae
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Dariusz Wilczyński (1984)
Fundamenta Mathematicae
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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.
Živaljević, Rade T. (1998)
Publications de l'Institut Mathématique. Nouvelle Série
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Justyna Fura, Sławomir Rybicki (2007)
Annales de l'I.H.P. Analyse non linéaire
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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.
C. Bowszyc (1983)
Fundamenta Mathematicae
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Balanov, Z., Krawcewicz, W., Kushkuley, A. (1998)
Abstract and Applied Analysis
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Mahuya Datta, Amiya Mukherjee (1998)
Mathematica Slovaca
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Antonyan, Sergey A., Balanov, Zalman I., Gel'man, Boris D. (2006)
Abstract and Applied Analysis
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