Oscillation of nonlinear second-order neutral delay differential equations

被引：7
作者：
Yang, Jiashan [1 ]
Wang, Jingjing [2 ]
Qin, Xuewen [1 ]
Li, Tongxing [3 ,4 ]
机构：
[1] Wuzhou Univ, Sch Informat & Elect Engn, Wuzhou 543002, Guangxi, Peoples R China
[2] Qingdao Univ Sci & Technol, Sch Informat Sci & Technol, Qingdao 266061, Shandong, Peoples R China
[3] Linyi Univ, LinDa Inst, Shandong Prov Key Lab Network Based Intelligent C, Linyi 276005, Shandong, Peoples R China
[4] Linyi Univ, Sch Informat, Linyi 276005, Shandong, Peoples R China
来源：
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2017年 / 10卷 / 05期
关键词：
Oscillation; neutral differential equation; nonlinear equation; delayed argument; Riccati substitution; CRITERIA;
D O I：
10.22436/jnsa.010.05.39
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
By using a couple of Riccati substitutions, we establish several new oscillation criteria for a class of second-order nonlinear neutral delay differential equations. These results complement and improve the related contributions reported in the literature. (C) 2017 All rights reserved.
引用
收藏
页码：2727 / 2734
页数：8
相关论文
共 27 条
[1]  
Agarwal R. P., 2004, MONOGRAPHS TXB PURE
[2]   Some remarks on oscillation of second order neutral differential equations [J].
Agarwal, Ravi P. ;
Zhang, Chenghui ;
Li, Tongxing .
APPLIED MATHEMATICS AND COMPUTATION, 2016, 274 :178-181
[3]   Oscillation of second-order Emden-Fowler neutral delay differential equations [J].
Agarwal, Ravi P. ;
Bohner, Martin ;
Li, Tongxing ;
Zhang, Chenghui .
ANNALI DI MATEMATICA PURA ED APPLICATA, 2014, 193 (06) :1861-1875
[4]  
Agarwal RP, 2014, CARPATHIAN J MATH, V30, P1
[5]   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
[6]   Oscillation theorems for second-order nonlinear neutral differential equations [J].
Baculikova, B. ;
Dzurina, J. .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (12) :4472-4478
[7]   Oscillation theorems for second order neutral differential equations [J].
Baculikova, B. ;
Dzurina, J. .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 61 (01) :94-99
[8]   Oscillation theorems for second-order superlinear neutral differential equations [J].
Baculikova, Blanka ;
Li, Tongxing ;
Dzurina, Jozef .
MATHEMATICA SLOVACA, 2013, 63 (01) :123-134
[9]   Remarks on the paper [Appl. Math. Comput. 207 (2009) 388-396] [J].
Han, Zhenlai ;
Li, Tongxing ;
Sun, Shurong ;
Sun, Yibing .
APPLIED MATHEMATICS AND COMPUTATION, 2010, 215 (11) :3998-4007
[10]   Oscillation criteria for second order nonlinear neutral differential equations [J].
Hasanbulli, Mustafa ;
Rogovchenko, Yuri V. .
APPLIED MATHEMATICS AND COMPUTATION, 2010, 215 (12) :4392-4399
123