OSCILLATORY PROPERTIES OF THIRD-ORDER SEMI-NONCANONICAL NONLINEAR DELAY DIFFERENCE EQUATIONS

被引:1
|
作者
Ayyappan, Govindasamy [1 ]
Chatzarakis, George E. [2 ]
Kumar, Thaniarasu [3 ]
Thandapani, Ethiraj [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 636011, Tamil Nadu, India
[4] Univ Madras, Ramanujan Inst Adv Study Math, Chennai 600005, Tamil Nadu, India
来源
MATHEMATICA BOHEMICA | 2023年 / 148卷 / 01期
关键词
semi-noncanonical operator; third-order; delay difference equation; oscillation;
D O I
10.21136/MB.2022.0036-21
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We study the oscillatory properties of the solutions of the third-order nonlinear semi-noncanonical delay difference equation D3y(n) + f(n)y(beta)(sigma(n)) = 0, where D(3)y(n) = Delta(b(n)Delta(a(n)(Delta y(n))(alpha))) is studied. The main idea is to transform the semi-noncanonical operator into canonical form. Then we obtain new oscillation theorems for the studied equation. Examples are provided to illustrate the importance of the main results.
引用
收藏
页码:35 / 47
页数:13
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