Abstract
Here we solve the following system of difference equations
where \(\left( F_{n}\right) _{n=0}^{+\infty }\) is the Fibonacci sequence. We give a representation of its general solution in terms of Fibonacci numbers and the initial values. Some theoretical justifications related to the representation for the general solution are also given.
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This work was supported by Directorate General for Scientific Research and Technological Development (DGRSDT), Algeria.
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Khelifa, A., Halim, Y. General solutions to systems of difference equations and some of their representations. J. Appl. Math. Comput. 67, 439–453 (2021). https://doi.org/10.1007/s12190-020-01476-8
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DOI: https://doi.org/10.1007/s12190-020-01476-8