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On the Existence of a Unique Green Function for the Linear Extension of a Dynamical System on a Torus

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Abstract

We prove two theorems on the existence of a unique Green function for a linear extension of a dynamical system on a torus. We also give two examples of the construction of this function in explicit form.

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REFERENCES

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    A. M. Samoilenko

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  1. A. M. Samoilenko
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Samoilenko, A.M. On the Existence of a Unique Green Function for the Linear Extension of a Dynamical System on a Torus. Ukrainian Mathematical Journal 53, 584–594 (2001). https://doi.org/10.1023/A:1012326604969

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  • DOI: https://doi.org/10.1023/A:1012326604969

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