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Erschienen in:
2002 | OriginalPaper | Buchkapitel
Major Features of Dynamical Systems
verfasst von : George R. Sell, Yuncheng You
Erschienen in: Dynamics of Evolutionary Equations
Verlag: Springer New York
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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.