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Appendix: Proofs

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Part of the Lecture Notes in Mathematics book series (LNM,volume 2114)

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

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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  2. Pachpatte, B.: Integral and Finite Difference Inequalities and Applications, Vol. 205. Elsevier, Oxford (2006)

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  3. 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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© 2014 Springer International Publishing Switzerland

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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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