Major Features of Dynamical Systems

  • George R. Sell
  • Yuncheng You
Part of the Applied Mathematical Sciences book series (AMS, volume 143)


In this chapter we will examine a number of the classical issues arising in the study of the dynamics of differential equations on Banach spaces. The corresponding theories for the finite dimensional problems appear in a number of sources, as noted in the Commentary Section. Our emphasis here will be on the infinite dimensional theory, in the context of general nonlinear evolutionary equations. Most of the applications will be to the theory of solutions of partial differential equations.


Periodic Orbit Equilibrium Point Invariant Manifold Unstable Manifold Mild Solution 
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Additional Readings

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Copyright information

© Springer Science+Business Media New York 2002

Authors and Affiliations

  • George R. Sell
    • 1
  • Yuncheng You
    • 2
  1. 1.School of MathematicsUniversity of MinnesotaMinneapolisUSA
  2. 2.Department of MathematicsUniversity of South FloridaTampaUSA

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