Attractivity of two nonlinear third order difference equations

The aim of this work is to investigate the global attractivity, periodic nature, oscillation and the boundedness of all admissible solutions of the difference equationsxn+1=A-Bxn-1±C+Dxn-2,n=0,1,…where A, B are nonnegative real numbers, C, D are positive real numbers and ±C + Dxn−2 ≠ 0 for all n ⩾ 0.