On the solutions of the second-order (p, q)-difference equation with an application to the fixed-point theory
Küçük Resim Yok
Tarih
2024
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Amer Inst Mathematical Sciences-Aims
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
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.
Açıklama
Anahtar Kelimeler
(p, q)-derivative, second-order difference equation, time scale, oscillations, fixed-points
Kaynak
Aims Mathematics
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
9
Sayı
5
