Conley type index applied to Hamiltonian inclusions
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).
scientific article; zbMATH DE number 5312261
scientific article