On the oscillation of fourth-order delay differential equations

被引：49

作者：

Grace, Said R. ^{[1
]}

Dzurina, Jozef ^{[2
]}

Jadlovska, Irena ^{[2
]}

Li, Tongxing ^{[3
]}

机构：

[1] Cairo Univ, Fac Engn, Dept Engn Math, Giza, Egypt

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

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

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2019年 / 2019卷 / 1期

关键词：

Linear differential equation; Delay; Fourth-order; Noncanonical operator; Oscillation; CRITERIA;

D O I：

10.1186/s13662-019-2060-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the paper, fourth-order delay differential equations of the form (r(3)(r(2)(r(1)y')')')'(t) + q(t)y(tau(t)) = 0 under the assumption integral(infinity)(t0) dt/r(1)(t) < infinity, i = 1,2,3, are investigated. Our newly proposed approach allows us to greatly reduce a number of conditions ensuring that all solutions of the studied equation oscillate. An example is also presented to test the strength and applicability of the results obtained.

引用

页数：15

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