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arXiv · 1005.2428

Factorization of Difference Equations by Semiconjugacy with Application to Non-autonomous Linear Equations

Hassan Sedaghat
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Abstract

The existence of a semiconjugate relation permits the transformation of a higher order difference equation on a group into an equivalent triangular system of two difference equations of lower orders. Introducing time-dependent form symmetries in this paper enables us to identify the semiconjugate property in a larger set of non-autonomous difference equations than previously considered. We show that there is a substantial class of equations having this feature that includes the general (non-autonomous, non-homogeneous) linear equation with variable coefficients in an arbitrary algebraic field.

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Hassan Sedaghat. 2010-05-13. Factorization of Difference Equations by Semiconjugacy with Application to Non-autonomous Linear Equations. https://arxiv.org/abs/1005.2428

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