General solution of a second order non-homogenous linear difference   equation with noncommutative coefficients
  The detailed construction of the general solution of a second order non-homogenous linear operatordifference equation is presented. The wide applicability of such an equation as well as the usefulness of its resolutive formula is shown by studying some applications belonging to different mathematical contexts. 
M. A. Jivulescu, A. Napoli, A. Messina