On the solutions of the second-order (p, q)-difference equation with an application to the fixed-point theory.

Autor: Turan, Nihan, Başarır, Metin, Şahin, Aynur
Předmět:
Zdroj: AIMS Mathematics (2473-6988); 2024, Vol. 9 Issue 5, p10679-10697, 19p
Abstrakt: In 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. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index