Retracts, fixed point index and differential equations.

Rafael Ortega

RACSAM (2008)

  • Volume: 102, Issue: 1, page 89-100
  • ISSN: 1578-7303

Abstract

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Some problems in differential equations evolve towards Topology from an analytical origin. Two such problems will be discussed: the existence of solutions asymptotic to the equilibrium and the stability of closed orbits of Hamiltonian systems. The theory of retracts and the fixed point index have become useful tools in the study of these questions.

How to cite

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Ortega, Rafael. "Retracts, fixed point index and differential equations.." RACSAM 102.1 (2008): 89-100. <http://eudml.org/doc/42009>.

@article{Ortega2008,
abstract = {Some problems in differential equations evolve towards Topology from an analytical origin. Two such problems will be discussed: the existence of solutions asymptotic to the equilibrium and the stability of closed orbits of Hamiltonian systems. The theory of retracts and the fixed point index have become useful tools in the study of these questions.},
author = {Ortega, Rafael},
journal = {RACSAM},
keywords = {fixed point index; Waźewski principle; periodic orbits; stability; instability},
language = {eng},
number = {1},
pages = {89-100},
title = {Retracts, fixed point index and differential equations.},
url = {http://eudml.org/doc/42009},
volume = {102},
year = {2008},
}

TY - JOUR
AU - Ortega, Rafael
TI - Retracts, fixed point index and differential equations.
JO - RACSAM
PY - 2008
VL - 102
IS - 1
SP - 89
EP - 100
AB - Some problems in differential equations evolve towards Topology from an analytical origin. Two such problems will be discussed: the existence of solutions asymptotic to the equilibrium and the stability of closed orbits of Hamiltonian systems. The theory of retracts and the fixed point index have become useful tools in the study of these questions.
LA - eng
KW - fixed point index; Waźewski principle; periodic orbits; stability; instability
UR - http://eudml.org/doc/42009
ER -

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