RESULTS ON APPROXIMATE SOLUTIONS FOR SINGULAR DIFFERENCE SYSTEMS WITH MAXIMA

In this paper, by introducing a new singular fractional difference comparison theorem, the existence of maximal and minimal quasi-solutions are proved for the singular fractional difference system with “maxima” combined with the method of upper and lower solutions and the monotone iterative technique on the monotone and nonmonotone case. Finally, we give an example to show the validity of the established results.