@article{Turan2024, 
author = {Nihan Turan and Metin Başarır and Aynur Şahin},
title = {On the solutions of the second-order    (  p  ,  q  )-difference equation with an application to the fixed-point theory},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {5},
pages = {10679-10697},
keywords = {(p, q)-derivative, second-order difference equation, time scale, oscillations, fixed-points},
url = {https://www.sciopen.com/article/10.3934/math.2024521},
doi = {10.3934/math.2024521},
abstract = {In this paper, we examined the existence and uniqueness of solutions to the second-order    (  p  ,  q  )-difference equation with non-local boundary conditions by using the Banach fixed-point theorem. Moreover, we introduced a special case of this equation called the Euler-Cauchy-like    (  p  ,  q  )-difference equation and provide its solution. We also studied the oscillation of solutions for this equation in    (  p  ,  q  )-calculus and proved the    (  p  ,  q  )-Sturm-type separation theorem and    (  p  ,  q  )-Kneser theorem about the oscillation of solutions.}
}