Conley type index and Hamiltonian inclusions

Zdzisław Dzedzej

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2010)

  • Volume: 49, Issue: 1, page 33-47
  • ISSN: 0231-9721

Abstract

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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.

How to cite

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Dzedzej, Zdzisław. "Conley type index and Hamiltonian inclusions." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 49.1 (2010): 33-47. <http://eudml.org/doc/116475>.

@article{Dzedzej2010,
abstract = {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.},
author = {Dzedzej, Zdzisław},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {Conley index; multivalued dynamical system; Hamiltonian inclusion; Conley index; multivalued dynamical system; Hamiltonian inclusion},
language = {eng},
number = {1},
pages = {33-47},
publisher = {Palacký University Olomouc},
title = {Conley type index and Hamiltonian inclusions},
url = {http://eudml.org/doc/116475},
volume = {49},
year = {2010},
}

TY - JOUR
AU - Dzedzej, Zdzisław
TI - Conley type index and Hamiltonian inclusions
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 2010
PB - Palacký University Olomouc
VL - 49
IS - 1
SP - 33
EP - 47
AB - 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.
LA - eng
KW - Conley index; multivalued dynamical system; Hamiltonian inclusion; Conley index; multivalued dynamical system; Hamiltonian inclusion
UR - http://eudml.org/doc/116475
ER -

References

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