A Solution Form of a Rational Difference Equation
Authors : Ramazan Karataş
Pages : 20-23
View : 23 | Download : 5
Publication Date : 2023-04-30
Article Type : Research
Abstract :This paper shows the solution form of the rational difference equation \\begin{equation*} x_{n+1}=\\frac{ax_{n-(2k+3)}}{-a\\mp x_{n-(k+1)}x_{n-(2k+3)}}\\text{ }% ,~n=0,1,... \\end{equation*} where $k$ is a positive integer $a$ and initial conditions are non-zero real numbers with $x_{n-(k+1)}x_{n-(2k+3)}\\neq \\mp a$ for all $n\\in N_{0}$.Keywords : Rational difference equation, Solution, boundedness, periodicity