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On optimal estimates for the solutions of linear difference equations on the circle

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Abstract

A linear difference equation arising in the proof of Moser's twist mapping theorem is solved and optimal estimates for the solution are established.

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References

  • Rüssman, H.: 1970,Kleine Nenner I: Über invariante Kurven differenzierbarer Abbildungen eines Kreisringes, Nachr. Akad. Wiss., Göttingen, Math. Phys. Kl., 67.

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  • Rüssmann, H.: 1975, ‘On Optimal Estimates for the Solutions of Linear Partial Differential Equations of First Order With Constant Coefficients on the Torus’,Lecture Notes in Physics, Vol. 38.

  • Rüssmann, H.: 1975a,Celes. Mech., this issue, p. 19.

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Authors and Affiliations

  1. Fachbereich Mathematik, Johannes Gutenberg-Universität Mainz, F.R.G.

    Helmut Rüssmann

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  1. Helmut Rüssmann
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Rüssmann, H. On optimal estimates for the solutions of linear difference equations on the circle. Celestial Mechanics 14, 33–37 (1976). https://doi.org/10.1007/BF01247129

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  • DOI: https://doi.org/10.1007/BF01247129

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