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\begin{document}

\title{Convergence of approximate solutions for singular difference systems
with maxima}



\author[1]{Xiang Liu}%
\author[2]{Christopher GOODRICH}%
\author[3]{Peiguang Wang}%
\affil[1]{Hebei Normal University}%
\affil[2]{UNSW}%
\affil[3]{Hebei University}%


\vspace{-1em}



  
  \date{May 25, 2024}


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\begin{abstract}
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. Finally, we give an example to show the validity of
the established results.%
\end{abstract}%



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