MMN-4397

Nondecreasing bounded continuous solutions of a q-difference equation

Hou Yu Zhao; Shan Shan Guo;

Abstract

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.


Vol. 25 (2024), No. 2, pp. 1037-1045
DOI: https://doi.org/10.18514/MMN.2024.4397


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