Nondecreasing bounded continuous solutions of a q -difference equation
Hou Yu Zhao, Shan Shan Guo · Miskolc mathematical notes/Mathematical notes · 2024
Schauder’s fixed point theorem and Banach contraction principle are used to study a q -difference equation. We give sufficient conditions for the existence, uniqueness, and stability of the nondecreasing bounded continuous solutions. We also give the approximate sequences for the corresponding solutions. Finally, some examples are considered for our results.