Titlebook: Applications of Centre Manifold Theory; Jack Carr Book 1982 Springer-Verlag New York Inc. 1982 Calc.Calculation.Differentialgleichung.Fini

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Proofs of Theorems,at we give can easily be extended to the corresponding infinite dimensional case; indeed essentially all we have to do is to replace the norm |•| in finite dimensional space by the norm ‖•‖ in a Banach space.

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Infinite Dimensional Problems,where Z is a Banach space, C is the generator of a strongly continuous semigroup on Z and N: Z → Z is smooth. In the next section we give a brief account of semigroup theory. For additional material on semigroup theory see [6,43,50,55, 56]. For generalizations to other evolution systems see [34,51].

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