Geodesic
Conley type index and Hamiltonian inclusions
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 49 (2010) no. 1, pp. 33-47.

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This paper is based mainly on the joint paper with W. Kryszewski [Dzedzej, Z., Kryszewski, W.: Conley type index applied to Hamiltonian inclusions. J. Math. Anal. Appl. 347 (2008), 96–112.], where cohomological Conley type index for multivalued flows has been applied to prove the existence of nontrivial periodic solutions for asymptotically linear Hamiltonian inclusions. Some proofs and additional remarks concerning definition of the index and special cases are given.
Classification : 34A60, 37B30, 37J45
Keywords: Conley index; multivalued dynamical system; Hamiltonian inclusion 
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Dzedzej, Zdzisław. Conley type index and Hamiltonian inclusions. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 49 (2010) no. 1, pp. 33-47. http://geodesic.mathdoc.fr/item/AUPO_2010__49_1_a3/