Oscillation theory of third-order nonlinear functional differential equations

被引：29
|
作者：
Graef, John R. [1 ]
Saker, Samir H. [2 ]
机构：
[1] Univ Tennessee, Dept Math, Chattanooga, TN 37403 USA
[2] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt
来源：
HIROSHIMA MATHEMATICAL JOURNAL | 2013年 / 43卷 / 01期
关键词：
Third-order differential equations; oscillation; nonoscillation; disconjugacy; Riccati techniques; ASYMPTOTIC-BEHAVIOR; CRITERIA;
D O I：
10.32917/hmj/1368217950
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we are concerned with oscillation of solutions of a certain class of third-order nonlinear delay differential equations of the form x'''(t) + p(t)x'(t) + q(t)f(x(tau(t))) = 0. We establish some new oscillation results that extend and improve some results in the literature in the sense that our results do not require that tau'(t) >= 0. Some examples are considered to illustrate the main results and some conjectures and open problems are presented.
引用
收藏
页码：49 / 72
页数：24
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