Oscillatory behavior of solutions of odd-order nonlinear delay differential equations

被引：7
作者：
Moaaz, Osama [1 ]
机构：
[1] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2020年 / 2020卷 / 01期
关键词：
Odd-order; Delay differential equations; Oscillatory behavior;
D O I：
10.1186/s13662-020-02821-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The objective of this study is to establish new sufficient criteria for oscillation of solutions of odd-order nonlinear delay differential equations. Based on creating comparison theorems that compare the odd-order equation with a couple of first-order equations, we improve and complement a number of related ones in the literature. To show the importance of our results, we provide an example.
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页数：10
相关论文
共 27 条
[1]   OSCILLATION OF THIRD-ORDER NONLINEAR DELAY DIFFERENTIAL EQUATIONS [J].
Agarwal, Ravi P. ;
Bohner, Martin ;
Li, Tongxing ;
Zhang, Chenghui .
TAIWANESE JOURNAL OF MATHEMATICS, 2013, 17 (02) :545-558
[2]  
Agarwal RP., 2000, Oscillation Theory for Difference and Functional Differential Equations
[3]   Oscillation of third-order nonlinear differential equations [J].
Baculikova, B. ;
Dzurina, J. .
APPLIED MATHEMATICS LETTERS, 2011, 24 (04) :466-470
[4]  
Baculíková B, 2010, ELECTRON J QUAL THEO, P1
[5]   On the oscillation of odd order advanced differential equations [J].
Baculikova, Blanka ;
Dzurina, Jozef .
BOUNDARY VALUE PROBLEMS, 2014,
[6]   Oscillation of third-order nonlinear damped delay differential equations [J].
Bohner, Martin ;
Grace, Said R. ;
Sager, Ilgin ;
Tunc, Ercan .
APPLIED MATHEMATICS AND COMPUTATION, 2016, 278 :21-32
[7]   Oscillatory and asymptotic properties of third-order quasilinear delay differential equations [J].
Chatzarakis, G. E. ;
Dzurina, J. ;
Jadlovska, I. .
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2019, 2019 (1)
[8]   Oscillation Criteria for Third-Order Emden-Fowler Differential Equations with Unbounded Neutral Coefficients [J].
Chatzarakis, George E. ;
Grace, Said R. ;
Jadlovska, Irena ;
Li, Tongxing ;
Tunc, Ercan .
COMPLEXITY, 2019, 2019
[9]   Oscillation Criteria for Delay and Advanced Differential Equations with Nonmonotone Arguments [J].
Chatzarakis, George E. ;
Li, Tongxing .
COMPLEXITY, 2018,
[10]   Oscillation criteria for third-order delay differential equations [J].
Chatzarakis, George E. ;
Grace, Said R. ;
Jadlovska, Irena .
ADVANCES IN DIFFERENCE EQUATIONS, 2017,
123