Open AccessOscillation criteria of third-order nonlinear neutral delay difference equations with noncanonical operators
Author(s) -
G. Ayyappan,
George E. Chatzarakis,
Thangaraj Nandha Gopal,
E. Thandapani
Publication year - 2021
Publication title -
applicable analysis and discrete mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.69
H-Index - 26
eISSN - 2406-100X
pISSN - 1452-8630
DOI - 10.2298/aadm200913011a
Subject(s) - mathematics , oscillation (cell signaling) , order (exchange) , nonlinear system , mathematical analysis , mathematical physics , combinatorics , physics , quantum mechanics , chemistry , biochemistry , finance , economics
In this paper, we present some new oscillation criteria for nonlinear neutral difference equations of the form ?(b(n)?(a(n)?z(n))) + q(n)x?(?(n)) = 0 where z(n) = x(n) + p(n)x(?(n)),? > 0, b(n) > 0, a(n) > 0, q(n) ? 0 and p(n) > 1. By summation averaging technique, we establish new criteria for the oscillation of all solutions of the studied difference equation above. We present four examples to show the strength of the new obtained results.