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Note on lie transforms and Lagrange's implicit function theorem

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Abstract

Some results of Feagin and Gottlieb on Lagrange's implicit function theorem are shown to be derivable from Lie transform theory.

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References

  • Bellman, R.: 1970,Methods of Nonlinear Analysis, Academic Press.

  • Feagin, T. and Gottlieb, R. G.: 1971,Celest Mech. 3 227.

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  • Henrard, J.: 1970b ‘Perturbation Technique in the Theory of Nonlinear Oscillations and in Celestial Mechanics’, Boeing Scientific Research Laboratories Technical Note No. 051, p. 68.

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Authors and Affiliations

  1. Dept. of Mathematical Sciences, Lakehead University, Thunder Bay, Ontario, Canada

    J. S. Griffith

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  1. J. S. Griffith
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Griffith, J.S. Note on lie transforms and Lagrange's implicit function theorem. Celestial Mechanics 7, 395–397 (1973). https://doi.org/10.1007/BF01227505

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