On The Dynamics Of Solutions Of A Rational Difference Equation Via Generalized Tribonacci Numbers
Abstract
In this study, we investigate the form of solutions, stability character and asymptotic behavior of the following rational difference equation xn+1=(γ/(xn(xn-1+α)+eta)), n=0,1,..., where the inital values x-1 and x0 and α, eta and γ with γ are nonnegative real numbers. Its solutions are associated with generalized Tribonacci numbers.
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