@article{upm2856, year = {2008}, pages = {11--18}, journal = {Journal of Applied Mathematics}, title = {Constant solutions in second osOrder linear homogeneous difference equations with variable coefficients}, publisher = {Slovak University of Technology in Bratislava}, number = {1}, volume = {1}, url = {http://www.journal.aplimat.com/}, issn = {1337-6365}, abstract = {The constant solutions of second order linear and homogeneous difference equation with variable coefficients are analyzed. Thus, a sufficient condition for the existence of the constant solution, with any initial solution, is provided. Also, fixed points and invariant subsets of the solutions are considered. Finally, a necessary and sufficient condition to maintain the existence of non-trivial fixed points in the product of transfer matrices of two dimensions, is given.}, keywords = {Transfer Matrix, Difference Equations, Stability, Discrete Dynamical Systems.}, author = {Abderram{\'a}n Marrero, Jes{\'u}s Carmelo} }