2019
Том 71
№ 11

All Issues

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

Marchuk N. A., Teplinsky Yu. V.

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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.

English version (Springer): Ukrainian Mathematical Journal 53 (2001), no. 9, pp 1495-1506.

Citation Example: Marchuk N. A., Teplinsky Yu. V. On the Smoothness of the Invariant Torus of a Countable System of Difference Equations with Parameters // Ukr. Mat. Zh. - 2001. - 53, № 9. - pp. 1241-1250.

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