New Oscillation Results for Third-Order Half-Linear Neutral Differential Equations

被引：12
|
作者：
Vidhyaa, K. S. [1 ]
Graef, John R. [2 ]
Thandapani, E. [3 ]
机构：
[1] SRM Easwari Engn Coll, Dept Math, Chennai 600089, Tamil Nadu, India
[2] Univ Tennessee, Dept Math, Chattanooga, TN 37403 USA
[3] Univ Madras, Ramanujan Inst Adv Study Math, Chennai 600005, Tamil Nadu, India
来源：
MATHEMATICS | 2020年 / 8卷 / 03期
关键词：
third-order; neutral; oscillation; delay differential equation; 34C10; 34K11; ASYMPTOTIC-BEHAVIOR;
D O I：
10.3390/math8030325
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The main purpose of this paper is to obtain criteria for the oscillation of all solutions of a third-order half-linear neutral differential equation. The main result in this paper is an oscillation theorem obtained by comparing the equation under investigation to two first order linear delay differential equations. An additional result is obtained by using a Riccati transformation technique. Examples are provided to show the importance of the main results.
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收藏
页数：9
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