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.

引用

页码：423 / 427

页数：5

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