Oscillation of third-order nonlinear delay difference equations

被引：19
|
作者：
Aktas, Mustafa Fahri [1 ]
Tiryaki, Aydin [2 ]
Zafer, Agacik [3 ]
机构：
[1] Gazi Univ, Dept Math, Fac Sci, TR-06500 Ankara, Turkey
[2] Izmir Univ, Dept Math & Comp Sci, Fac Arts & Sci, TR-35350 Izmir, Turkey
[3] Middle E Tech Univ, Dept Math, TR-06531 Ankara, Turkey
来源：
TURKISH JOURNAL OF MATHEMATICS | 2012年 / 36卷 / 03期
关键词：
Difference equation; Delay; Third order; Oscillation; Nonoscillation; Riccati transformation; CRITERIA; THEOREMS;
D O I：
10.3906/mat-1010-67
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Third-order nonlinear difference equations of the form Delta(c(n)Delta(d(n)Delta x(n))) p(n)Delta x(n+1) + q(n)f (x(n-sigma)) = n >= n(0) are considered. Here, {c(n)}, {d(n)}, {p(n)} and {q(n)} are sequences of positive real numbers for n(0) is an element of N, f is a continuous function such that f(u)/u >= K > 0 for u not equal 0. By means of a Riccati transformation technique we obtain some new oscillation criteria. Examples are given to illustrate the importance of the results.
引用
收藏
页码：422 / 436
页数：15
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