%0 Journal Article %@ 1337-6365 %A Abderramán Marrero, Jesús Carmelo %D 2008 %F upm:2856 %I Slovak University of Technology in Bratislava %J Journal of Applied Mathematics %K Transfer Matrix, Difference Equations, Stability, Discrete Dynamical Systems. %N 1 %P 11-18 %T Constant solutions in second osOrder linear homogeneous difference equations with variable coefficients %U https://oa.upm.es/2856/ %V 1 %X 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.