turkmath.org

In this talk, we give a brief literature overview and then introduce the second order difference equation, called Euler-Cauchy-like (p,q)-difference equation, and also give the oscillation of the solutions of this equation and the (p,q)-Sturm-type separation theorem and (p,q)-Kneser's theorem about oscillation of the solutions in (p,q)-calculus. Moreover, we examine the existence and uniqueness of the solutions of this difference equation with non-local boundary conditions using the Banach fixed point theorem.