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

Autor: Nihan Turan, Metin Başarır, Aynur Şahin
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: AIMS Mathematics, Vol 9, Iss 5, Pp 10679-10697 (2024)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.2024521?viewType=HTML
Popis: 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.
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