Oscillation of fourth-order neutral differential equations with p-Laplacian like operators

被引：76

作者：

Li, Tongxing ^{[1
]}

Baculikova, Blanka ^{[2
]}

Dzurina, Jozef ^{[2
]}

Zhang, Chenghui ^{[3
]}

机构：

[1] Qingdao Technol Univ, Feixian 273400, Shandong, Peoples R China

[2] Tech Univ Kosice, Fac Elect Engn & Informat, Dept Math, Kosice 04200, Slovakia

[3] Shandong Univ, Sch Control Sci & Engn, Jinan 250061, Shandong, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2014年

关键词：

oscillation; fourth-order neutral differential equation; p-Laplace differential equation; noncanonical operator; DYNAMIC EQUATIONS; THEOREMS;

D O I：

10.1186/1687-2770-2014-56

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study oscillatory behavior of a class of fourth-order neutral differential equations with a p-Laplacian like operator using the Riccati transformation and integral averaging technique. A Kamenev-type oscillation criterion is presented assuming that the noncanonical case is satisfied. This new theorem complements and improves a number of results reported in the literature. An illustrative example is provided.

引用

页数：9

共 22 条

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TAIWANESE JOURNAL OF MATHEMATICS, 2014, 18 (04) :1003-1019

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