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On the Smoothness of the Invariant Torus of a Countable System of Difference Equations with Parameters

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Ukrainian Mathematical Journal Aims and scope

Abstract

We establish sufficient conditions for the differentiability of the invariant torus of a countable system of linear difference equations defined on a finite-dimensional torus with respect to an angular variable and the parameter of the original system of equations.

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Authors and Affiliations

  1. Kamenets-Podil'skyi Pedagogic University, Kamenets-Podil'skyi

    Yu. V. Teplins'kyi & N. A. Marchuk Marchuk

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  1. Yu. V. Teplins'kyi
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  2. N. A. Marchuk Marchuk
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Teplins'kyi, Y.V., Marchuk, N.A.M. On the Smoothness of the Invariant Torus of a Countable System of Difference Equations with Parameters. Ukrainian Mathematical Journal 53, 1495–1506 (2001). https://doi.org/10.1023/A:1014318809093

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  • DOI: https://doi.org/10.1023/A:1014318809093

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