Abstract
In this paper, we give the form of the solutions of the following rational difference equation,x(n+1) = x(n-3)x(n-1)/a(n)x(n-3)+b(n)x(n-1), (1),where a(n) and b(n) are sequences of real numbers, by using Lie symmetry analysis and associated with Fibonacci numbers, respectively. We find an interesting relation between the exact solution of Equation (1) and the classical Fibonacci sequence.
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Kapsamı
Uluslararası
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Type
Hakemli
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Index info
WOS.SCI
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Language
English
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Article Type
None
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Keywords
Difference equation form of the solutions reduction Lie symmetry analysis Fibonacci numbers