TY - JOUR AU - Ghasemabadi, Atena PY - 2015 DA - 2015/08/15 TI - Stability and bifurcation of Metzler equation JO - Advances in Difference Equations SP - 253 VL - 2015 IS - 1 AB - In this paper, we study qualitative properties of solutions of the following nonlinear third order difference equation: xn+1=axn+bxn−1+f(xn−xn−1)+g(xn−1−xn−2).$$x_{n+1}= ax_{n} + bx_{n-1}+f(x_{n}-x_{n-1})+g(x_{n-1}-x_{n-2}). $$In economics, this equation was known as Metzler equation. We study the stability of the solutions and existence of bifurcations. SN - 1687-1847 UR - https://doi.org/10.1186/s13662-015-0583-7 DO - 10.1186/s13662-015-0583-7 ID - Ghasemabadi2015 ER -