arXiv:1906.11629 Abstract | arXiv Analytics

arXiv:1906.11629 [math.DS]Abstract References Reviews Resources

On The Dynamics Of Solutions Of A Rational Difference Equation Via Generalized Tribonacci Numbers

Published 2019-06-27Version 1

In this study, we investigate the form of solutions, stability character and asymptotic behavior of the following rational difference equation x_{n+1}=({\gamma}/(x_{n}(x_{n-1}+{\alpha})+\b{eta})), n=0,1,..., where the inital values x_{-1} and x_{0} and {\alpha}, \b{eta} and {\gamma} with {\gamma} are nonnegative real numbers. Its solutions are associated with generalized Tribonacci numbers.

Categories: math.DS

Subjects: 39A10, 39A30

Keywords: rational difference equation, generalized tribonacci numbers, nonnegative real numbers, inital values, stability character

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