Abstract
In this chapter we give the proof of a number of assertions from previous chapters. The level of mathematical sophistication required of the reader is higher than earlier chapters. For this reason, and if the readers’ primary interest is in the application of the techniques, this chapter may be skipped.
Keywords
- Asymptotic Expansion
- Exponential Stability
- Invariant Manifold
- Lipschitz Condition
- Unique Fixed Point
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Daletskii, Yu.L., Krein, M.G.: Stability of Solutions of Differential Equations in Banach Space. AMS, New York (1974)
Pachpatte, B.: Integral and Finite Difference Inequalities and Applications, Vol. 205. Elsevier, Oxford (2006)
Strygin, V.V., Sobolev, V.A.: Separation of Motions by the Integral Manifolds Method (in Russian, MR 89k:34071). Nauka, Moscow (1988)
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Shchepakina, E., Sobolev, V., Mortell, M.P. (2014). Appendix: Proofs. In: Singular Perturbations. Lecture Notes in Mathematics, vol 2114. Springer, Cham. https://doi.org/10.1007/978-3-319-09570-7_9
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DOI: https://doi.org/10.1007/978-3-319-09570-7_9
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Publisher Name: Springer, Cham
Print ISBN: 978-3-319-09569-1
Online ISBN: 978-3-319-09570-7
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