Author(s)

Elmetwally M. Elabbasy^*, Abdulmuhaemn A. El-Biaty

Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, Egypt.

In this paper, we investigate some qualitative behavior of the solutions of the difference equation where the coefficients a, b and c_i are positive real numbers, and where the initial conditions are arbitrary positive real numbers.

Difference Equation, Stability, Periodicity, Boundedness, Global Stability

Elabbasy, E. and El-Biaty, A. (2016) On the Nonlinear Difference Equation. Journal of Applied Mathematics and Physics, 4, 100-109. doi: 10.4236/jamp.2016.41014.