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Limit processes in ordinary differential equations

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Summary

Differential equations with right-hand sides including terms oscillating with high frequency and large amplitude are studied. The limit equation deduced involves resonance terms in the form of Lie brackets.

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References

  1. J. Kurzweil and J. Jarnik,A convergence effect in ordinary differential equations. In: Asymptotic Methods of the Mathematical Physics. Dedicated to the 70th birthday of Acad. Ju. A. Mitropolskij. Kijev, to appear.

  2. J. Kurzweil,Generalized ordinary differential equations and continuous dependence on a parameter. Czechoslovak Math. J.7 (82), 418–449 (1957).

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Authors and Affiliations

  1. Mathematical Institute, Czechoslovak Academy of Sciences, Žitná 25, 115 67, Praha 1, Czechoslovakia

    Jaroslav Kurzweil & Jiří Jarník

Authors
  1. Jaroslav Kurzweil
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  2. Jiří Jarník
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Dedicated to the 60th birthday of Prof. Hans Wilhelm Knobloch

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Kurzweil, J., Jarník, J. Limit processes in ordinary differential equations. Z. angew. Math. Phys. 38, 241–256 (1987). https://doi.org/10.1007/BF00945409

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  • DOI: https://doi.org/10.1007/BF00945409

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