On the oscillation of higher-order half-linear delay difference equations

被引：0
|
作者：
Bolat, Yaar [2 ]
Alzabut, Jehad O. [1 ]
机构：
[1] Prince Sultan Univ, Dept Math & Phys Sci, Riyadh 11586, Saudi Arabia
[2] Kastamonu Univ, Fac Sci & Literatures, Dept Math, TR-37110 Kastamonu, Turkey
来源：
APPLIED MATHEMATICS & INFORMATION SCIENCES | 2012年 / 6卷 / 03期
关键词：
Oscillation; Delay difference equation; Higher order half linear difference equation; ASYMPTOTIC-BEHAVIOR; CRITERIA;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, sufficient conditions are established for the oscillatory and asymptotic behavior of higher order half linear delay difference equation of the form Delta(p(n)(Delta(m-1)(x(n) + q(n)x(tau n)))(alpha)) + r(n)x(sigma n)(beta) = 0, n >= n(0), where it is assumed that Sigma(infinity)(s=n0) 1/(s1/alpha)(p) < infinity. The main theorem improves some existing results in the literature. An example is provided to demonstrate the effectiveness of the main result.
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页码：423 / 427
页数：5
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