Progress report on rational difference equations
Date of Original Version
Our aim here is to present a summary of our recent work and a large number of open problems and conjectures on third order rational difference equations of the form xn+1 = α + βxn + γx n-1 + δxn-2/A + Bxn + Cxn-1 + Dxn-2, n = 0, 1,... with non-negative parameters and non-negative initial conditions.
Journal of Difference Equations and Applications
Grove, E. A., M. R. Kulenović, and G. Ladas. "Progress report on rational difference equations." Journal of Difference Equations and Applications 10, 13-15 (2004): 1313-1327. doi:10.1080/10236190410001654160.