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

Authors

  • A. M. Samoilenko

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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Published

25.04.2001

Issue

Vol. 53 No. 4 (2001)

Section

Research articles

How to Cite

Samoilenko, A. M. “On the Existence of a Unique Green Function for the Linear Extension of a Dynamical System on a Torus”. Ukrains’kyi Matematychnyi Zhurnal, vol. 53, no. 4, Apr. 2001, pp. 513-21, https://umj.imath.kiev.ua/index.php/umj/article/view/4272.