## Conley type index and Hamiltonian inclusions.(English)Zbl 1229.37011

Summary: This paper is based mainly on the joint paper with W. Kryszewski [J. Math. Anal. Appl. 347, No. 1, 96–112 (2008; Zbl 1149.37008)], 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 the definition of the index and special cases are given.

### MSC:

 37B30 Index theory for dynamical systems, Morse-Conley indices 37J45 Periodic, homoclinic and heteroclinic orbits; variational methods, degree-theoretic methods (MSC2010) 34A60 Ordinary differential inclusions

Zbl 1149.37008
Full Text:

### References:

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