@article{Turan2025, 
author = {Nihan Turan and Aynur Şahin},
title = {Existence and nonexistence outcomes for a third-order    q-difference equation},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {11},
pages = {27044-27057},
keywords = {boundary value problems, q-difference equations, integral-type boundary conditions, Green's function, fixed point theorems},
url = {https://www.sciopen.com/article/10.3934/math.20251188},
doi = {10.3934/math.20251188},
abstract = {In this paper, using the Schauder and the Banach fixed point (FP) theorems, we examine the existence and uniqueness of solutions in the Banach space    C  (  [  0  ,  1  ]  ) for a boundary value problem (BVP) of non-linear third-order    q-difference equations with the    q-integral boundary condition. Then, we impose the sufficient condition that allows us to deduce a nonexistence result. Furthermore, we offer some examples to support our main outcomes.}
}