On the recursive sequence \(x_n=A+x_{n-k}^p/x_{n-1}^r\)
Summary: This paper studies the dynamic behavior of the positive solutions to the difference equation \(x_n=A+x_{n-k}^p/x_{n-1}^r\), \(n=1,2,\ldots,\) where \(A,p\) and \(r\) are positive real numbers, and the initial conditions are arbitrary positive numbers. We establish some results regarding the stability and oscillation character of this equation for \(p\in [0,1)\).
scientific article; zbMATH DE number 5637374
scientific article