Abstract
A module structure of the cohomology Conley index is used to define a relative cup-length. This invariant is applied then to prove a multiplicity theorem for periodic solutions to Hamiltonian systems.
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Acknowledgment
This research was supported by the Polish Ministry of Higher Education grant number N N 201 394037.
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Open Access This is an open access article distributed under the terms of the Creative Commons Attribution Noncommercial License (https://creativecommons.org/licenses/by-nc/2.0), which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
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Dzedzej, Z., Gȩba, K. & Uss, W. The Conley index, cup-length and bifurcation. J. Fixed Point Theory Appl. 10, 233–252 (2011). https://doi.org/10.1007/s11784-011-0065-9
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DOI: https://doi.org/10.1007/s11784-011-0065-9