Oscillatory Behavior of Second-Order Nonlinear Neutral Differential Equations

被引:6
作者
Li, Tongxing [1 ]
Rogovchenko, Yuriy V. [2 ]
机构
[1] Linyi Univ, Dept Math, Linyi 276005, Shandong, Peoples R China
[2] Univ Agder, Dept Math Sci, POB 422, N-4604 Kristiansand, Norway
关键词
CRITERIA; THEOREMS;
D O I
10.1155/2014/143614
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We study oscillatory behavior of solutions to a class of second-order nonlinear neutral differential equations under the assumptions that allow applications to differential equations with delayed and advanced arguments. New theorems do not need several restrictive assumptions required in related results reported in the literature. Several examples are provided to show that the results obtained are sharp even for second-order ordinary differential equations and improve related contributions to the subject.
引用
收藏
页数:8
相关论文
共 21 条
[1]  
Agarwal R. P., 2002, OSCILLATION THEORY F
[2]   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
[3]   Oscillation theorems for certain neutral functional differential equations [J].
Agarwal, RP ;
Grace, SR .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1999, 38 (11-12) :1-11
[4]  
[Anonymous], 2000, OSCILLATION THEORY D, DOI DOI 10.1007/978-94-015-9401-1
[5]  
[Anonymous], 2004, MONOGRAPHS TXB PURE
[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 criteria for nonlinear functional neutral dynamic equations on time scales [J].
Erbe, Lynn ;
Hassan, Taher S. ;
Peterson, Allan .
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2009, 15 (11-12) :1097-1116
[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