Conley type index applied to Hamiltonian inclusions
type: Item
instance of: scholarly article
title: Conley type index applied to Hamiltonian inclusions
zbMATH Open document ID: 1149.37008
author: Zdzisław Dzedzej
author: Wojciech Kryszewski
published in: Journal of Mathematical Analysis and Applications
publication date: 2008-08-14T00:00:00Z
review text: The authors introduce and develop the theory of a cohomological Conley type index as an infinite-dimensional counterpart of the Mrozek index by use of methods by \textit{K. Gȩba, M. Izydorek} and \textit{A. Pruszko} [Stud. Math. 134, No.~3, 217--233 (1999; Zbl 0927.58004)] and the author [in: J. Jachymski (ed.) et al., Fixed point theory and its applications, Proceedings of the international conference, Bedlewo, Poland, August 1--5, 2005, Warsaw: Polish Academy of Sciences, Institute of Mathematics, Banach Center Publications 77, 61--68 (2007; Zbl 1114.37013)], and apply it to study the existence of periodic orbits of Hamiltonian systems involving nonsmooth Hamiltonian (asymptotically linear Hamiltonian inclusions).
Mathematics Subject Classification ID: 37B30
Mathematics Subject Classification ID: 34A60
Mathematics Subject Classification ID: 37J45
Mathematics Subject Classification ID: 47J05
zbMATH DE Number: 5312261
zbMATH Keywords: Conley index
zbMATH Keywords: multivalued dynamical system
zbMATH Keywords: Hamiltonian inclusion
reviewed by: Boris V. Loginov
MaRDI profile type: Publication
full work available at URL: j.jmaa.2008.05.081
OpenAlex ID: W1997816561
Wikidata QID: Q96744833
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DOI: 10.1016/J.JMAA.2008.05.081
description: scientific article; zbMATH DE number 5312261