A Review on the Solutions of Difference Equations via Integer Sequences such as Fibonacci Numbers and Tribonacci Numbers

Authors : İnci OKUMUŞ, Yüksel SOYKAN

Pages : 281-292

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Publication Date : 2019-12-29

Article Type : Review Paper

Abstract :In this review article, we study the recent investigations on the forms of solutions of systems difference equations and difference equations in terms of well-known integer sequences such as Fibonacci numbers, Padovan numbers. We focus on the papers given some interesting relationships both between the exact solutions of difference equations and the integer sequences and between the equilibrium points of difference equations and the golden ratio.
Keywords : Difference equations, Equilibrium point, Fibonacci number, Solutions, Tribonacci numbers