Oscillation criteria of third-order neutral differential equations with damping and distributed deviating arguments

被引:1
作者
Wang, Yakun [1 ]
Meng, Fanwei [1 ]
Gu, Juan [2 ]
机构
[1] Qufu Normal Univ, Sch Math Sci, Qufu, Shandong, Peoples R China
[2] Army Acad Armored Forces, Beijing, Peoples R China
基金
中国国家自然科学基金;
关键词
Third-order; Neutral differential equations; Oscillation; Riccati transformation; EVEN; BEHAVIOR;
D O I
10.1186/s13662-021-03661-w
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Our objective in this paper is to study the oscillatory and asymptotic behavior of the solutions of third-order neutral differential equations with damping and distributed deviating arguments. New oscillation criteria are established, which are based on a refinement generalized Riccati transformation. An important tool for this investigation is the integral averaging technique. Moreover, we provide an example to illustrate the main results.
引用
收藏
页数:15
相关论文
共 27 条
[1]   A new approach in the study of oscillatory behavior of even-order neutral delay differential equations [J].
Agarwal, Ravi P. ;
Bohner, Martin ;
Li, Tongxing ;
Zhang, Chenghui .
APPLIED MATHEMATICS AND COMPUTATION, 2013, 225 :787-794
[2]  
Arino O., 2006, OSCILLATION THEORY D
[3]   Fite-Hille-Wintner-type oscillation criteria for second-order half-linear dynamic equations with deviating arguments [J].
Bohner, Martin ;
Hassan, Taher S. ;
Li, Tongxing .
INDAGATIONES MATHEMATICAE-NEW SERIES, 2018, 29 (02) :548-560
[4]   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
[5]   Oscillatory behavior of second order nonlinear neutral differential equations with distributed deviating arguments [J].
Candan, T. .
APPLIED MATHEMATICS AND COMPUTATION, 2015, 262 :199-203
[6]   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
[7]   Oscillation criteria for second-order Emden-Fowler delay differential equations with a sublinear neutral term [J].
Dzurina, Jozef ;
Grace, Said R. ;
Jadlovska, Irena ;
Li, Tongxing .
MATHEMATISCHE NACHRICHTEN, 2020, 293 (05) :910-922
[8]   Asymptotic behavior of third-order differential equations with nonpositive neutral coefficients and distributed deviating arguments [J].
Jiang, Cuimei ;
Jiang, Ying ;
Li, Tongxing .
ADVANCES IN DIFFERENCE EQUATIONS, 2016, :1-14
[9]   Some oscillation results for nonlinear second-order differential equations with damping [J].
Jiang, Cuimei ;
Tian, Yazhou ;
Jiang, Ying ;
Li, Tongxing .
ADVANCES IN DIFFERENCE EQUATIONS, 2015, :1-14
[10]  
Ladde G.S., 1987, Mathematics in Science and Engineering