Oscillation criteria for third-order delay differential equations

被引：29
|
作者：
Chatzarakis, George E. [1 ]
Grace, Said R. [2 ]
Jadlovska, Irena [3 ]
机构：
[1] Sch Pedag & Technol Educ ASPETE, Dept Elect & Elect Engn Educators, Athens 14121, Greece
[2] Cairo Univ, Fac Engn, Dept Engn Math, Giza 12221, Egypt
[3] Tech Univ Kosice, Fac Elect Engn & Informat, Dept Math & Theoret Informat, Letna 9, Kosice 04200, Slovakia
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2017年
关键词：
third-order; differential equation; delay; Gronwall inequality; oscillation;
D O I：
10.1186/s13662-017-1384-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The objective in this paper is to study the oscillatory and asymptotic behavior of the solutions of a linear third-order delay differential equation of the form (r(2)(t)(r(1)(t)y'(t))')' + q(t)y(tau(t)) = 0. We establish new oscillation criteria that can be used to test for oscillations, even when the previously known criteria fail to apply. Examples illustrating the results are also given.
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页数：11
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