The dynamics of \(x_{n+1}= \frac {\alpha + \beta x_n}{A+Bx_n+Cx_{n-1}}\) facts and conjectures
The authors investigate the global character of the solutions of the equation in the title with nonnegative parameters and initial conditions such as the global attractivity, local and global asymptotic stability of the unique positive equilibrium, the boundedness and periodic nature of the solutions.
scientific article; zbMATH DE number 2082217
scientific article