Turan, NihanBasari, MetinSahin, Aynur2025-03-092025-03-0920242473-6988https://doi.org/10.3934/math.2024521https://hdl.handle.net/20.500.12662/4597In this paper, we examined the existence and uniqueness of solutions to the secondorder (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.eninfo:eu-repo/semantics/openAccess(p, q)-derivativesecond-order difference equationtime scaleoscillationsfixed-pointsArticle10.3934/math.20245212-s2.0-85188231671106975Q1106799WOS:001197577500011Q1