Dynamical Behavior and Solution of Nonlinear Difference Equation via Fibonacci Sequence

The Solutions and the Dynamic Behavior of the Rational Difference Equations

“…In addition, other related results on rational difference equations can be found in Refs. [16] [17] [18] and [19] and the references cited therein.…”

The Behavior and Structures of Solution of Fifth-Order Rational Recursive Sequence

“…Theorem 8. If {Ψ l } ∞ l=1 is the solution to difference Equation (8), then this solution is obtained by the given formulas…”

“…is investigated in [7], where a is a nonnegative real number and f is a continuous function, nondecreasing in each variable and increasing in at least one. Elsayed [8] studied the qualitative behavior of the solution of…”

Dynamics and Solutions’ Expressions of a Higher-Order Nonlinear Fractional Recursive Sequence

“…erefore, there are a huge number of articles published to investigate the stability of the equilibrium points and the existence of the periodic solutions for the nonlinear difference equations (see, for example, [1][2][3][4][5]). e second direction is to obtain the expressions of the solution if it is possible since there is no explicit and enough methods to find the solution of nonlinear difference equations (see, for example, [6][7][8][9][10][11]).…”