Weakening Condition (A4)

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


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.


Differential Equation Partial Differential Equation Ordinary Differential Equation Differential Geometry Index Case 
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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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