%K Transfer Matrix, Difference Equations, Stability, Discrete
Dynamical Systems.
%I Slovak University of Technology in Bratislava
%J Journal of Applied Mathematics
%A Jesús Carmelo Abderramán Marrero
%N 1
%T Constant solutions in second osOrder linear homogeneous difference equations with variable coefficients
%D 2008
%V 1
%P 11-18
%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.
%L upm2856