A simplification and generalization of Elsayed's two-dimensional system of third order difference equations

M. Folly-Gbetoula; D. Nyirenda

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arXiv · 1910.09350

A simplification and generalization of Elsayed's two-dimensional system of third order difference equations

M. Folly-Gbetoula·D. Nyirenda

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Abstract

A full Lie analysis of a system of third-order difference equations is performed. Explicit solutions, expressed in terms of the initial values, are derived. Furthermore, we give sufficient conditions for existence of 2-periodic and 4-periodic solutions in certain cases. Our results generalize and simplify the work by Elsayed and Ibrahim [E. M. Elsayed and T.F. Ibrahim, Periodicity and solutions for some systems of nonlinear rational difference equations, Hacettepe Journal of Mathematics and Statistics 44:6 (2015), 1361-1390].

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M. Folly-Gbetoula, D. Nyirenda. 2019-10-18. A simplification and generalization of Elsayed's two-dimensional system of third order difference equations. https://arxiv.org/abs/1910.09350

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