OSCILLATION CRITERIA OF THIRD-ORDER NONLINEAR NEUTRAL DELAY DIFFERENCE EQUATIONS WITH NONCANONICAL OPERATORS

被引：0
|
作者：
Ayyappan, G. [1 ]
Chatzarakis, G. E. [2 ]
Gopal, T. [3 ]
Thandapani, E. [4 ]
机构：
[1] Periyar Univ, Dept Math, Coll Arts & Sci, Pappireddipatti 636905, Tamil Nadu, India
[2] Sch Pedag & Technol Educ, Dept Elect & Elect Engn Educ, Athens 15122, Greece
[3] Periyar Univ, Dept Math, Salem, Tamil Nadu, India
[4] Univ Madras, Ramanujan Inst Adv Study Math, Chennai 600005, Tamil Nadu, India
来源：
APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS | 2021年 / 15卷 / 02期
关键词：
Nonlinear difference equation; Third-order; Neutral; Noncanonical Operators; Oscillation;
D O I：
10.2298/AADM200913011A
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we present some new oscillation criteria for nonlinear neutral difference equations of the form Delta(b(n)Delta(a(n)Delta z(n))) + q(n)x(alpha)(sigma(n)) = 0 where z(n) = x(n) + p(n)x (T (n)) , alpha > 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.
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页码：413 / 425
页数：13
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