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Öğe On the solutions of a nonlinear system of q-difference equations(Springer, 2024) Turan, Nihan; Basarir, Metin; Sahin, AynurIn this paper, we examine the existence and uniqueness of solutions for a system of the first-order q-difference equations with multi-point and q-integral boundary conditions using various fixed point (fp) theorems. Also, we give two examples to support our results.Öğe On the solutions of the second-order (p, q)-difference equation with an application to the fixed-point theory(Amer Inst Mathematical Sciences-Aims, 2024) Turan, Nihan; Basari, Metin; Sahin, AynurIn 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.