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Weakening Condition (A4)

  • Abbas Bahri
Chapter
Part of the Progress in Nonlinear Differential Equations and Their Applications book series (PNLDE, volume 53)

Abstract

Considering one ξ-piece and using Lemma 11 and its proof, we can transport all the H 0 1 -index of a simple critical point at infinityon that single piece. If this H 0 1 -index is at least 2, we are able to generate a change in the maximal number of zeros of b on the unstable manifold of x . If an iterate of x is of even index 2k, the homology will then be well defined, as far as x is concerned, at the order 2k.

Keywords

Differential Equation Partial Differential Equation Ordinary Differential Equation Differential Geometry Index Case 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Copyright information

© Springer Science+Business Media New York 2003

Authors and Affiliations

  • Abbas Bahri
    • 1
  1. 1.Department of MathematicsRutgers UniversityNew BrunswickUSA

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