Open AccessOscillation and nonoscillation criteria for second order difference equations with generalized difference operators
Author(s) -
Nurettin Do ̆gan,
Yas Bolat
Publication year - 2021
Publication title -
the punjab university journal of mathematics
Language(s) - English
Resource type - Journals
ISSN - 1016-2526
DOI - 10.52280/pujm.2021.531005
Subject(s) - oscillation (cell signaling) , operator (biology) , order (exchange) , mathematics , significant difference , nonlinear system , mathematical analysis , mathematical physics , pure mathematics , physics , quantum mechanics , statistics , chemistry , biochemistry , finance , repressor , transcription factor , economics , gene
In this study we investigate some new oscillation and nonoscillation criteria and generalize and improve some results in the literatures for second order nonlinear difference equation with generalized difference operators of the form ∆l,a(pn∆l,axn) + qn(∆l,axn)β = F (n, xn, ∆l,bxn), where ∆l,σ is generalized difference operator such that defined as ∆l,σxn = xn+l − σxn, and F : N × R 2→ R˙ . Also, some examples illustrating the results are